Bogdan Mielnikbogdan/citas/citas.pdf · 2014-04-13 · Bogdan Mielnik Citas 1968{2014 2 .B. Mielnik...

Bogdan MielnikCitas 1968–2014

2 .B. Mielnik and J. Plebanski, A Study of Geodesic Motion in the Field ofSchwarzchild’s Solution, Acta Phys. Polon. 21, 239 (1962).

1 F.L.Markley, Am.J.Phys. 41, 45 (1973)

2 R.Howes, Ayst.J.Phys. N32, 293 (1979)

3 N.A.Sharp, Gen.Rel.Grav. 10, 659 (1979)

4 W.Davidson, Aust.J.Phys. 19, 905 (1980)

5 Ch.W.Misner, K.S.Thorne, J.A.Wheeler, ”Gravitation”, ed. W.H.Freeman Co.,San Francisco (1973)

6 C.M.Rodriguez, Nouv.Cim. B98, 87 (1987)

7 A.F.Zakharov, Astr.Zh. N 65, 877 (1988)

5 .B. Mielnik, Quantum Logic and Evolution, Ann. Inst. H. Poincare IX, No. 1, 1(1968).

1 P.J.Lahti, Int.J.Th.Phys. 19, 905 (1980)

6 .B. Mielnik, Geometry of Quantum States, Commun. Math. Phys. 9, 55 (1968).

1 P.Jordan, CMP 9, 279 (1968)

2 C.V.Stanojevic, Bull.Acad.Pol.Sci. XVIII 9, 531 (1970)

3 J.P. Antoine, Space-Time structure and measurement theory, Int. J. Of Theo.Phys. (1974)

4 M.Reed and B.Simon, ”Method of Modern Math. Physics”, vol.I: ”FunctionalAnalysis”, Academic Press, New York-London (1972)

5 K.Bugajska, Ann.Inst.H.Poincare A16, 93 (1972)

6 F. Gallone, Quantum logic axioms and the proposition-state structure, Int. J.Of Theo. Phys. (1973)

1

7 S.P.Gudder, CMP 29, 249 1973)

8 C.V.Stanojevic, Tr.Am.Math.Soc. 183, 441 (1973)

9 Bugajska, On the representation theorem for quantum logic, Int. J. Of Theo.Phys. (1974)

10 J.G.Belinfante, Not.Am.Math.M21, A344 (1974)

11 G.Cattaneo, P.Camb.Phil. 76, 115 (1974)

12 W.M.Cornette, J.Math.Phys. 15, 842 (1974)

13 M.Kupczynski, Int.J.Th.Ph. 10, 297 (1974)

14 E.J. Post, Comments on the formal representation of physical quantities, Log-ical and epistemological studies in contemporary (1974)

15 S.Wojciechowski, Rep.Math.Phys. 8, 387 (1975)

16 P.C.Zabey, Found.Phys. 5, 323 (1975)

17 C.F.Blakemore, P.Am.Math.Soc. 52, 315 (1975)

18 A.R.Blass, Not.Am.Math.Soc. 22, A309 (1975)

19 (private communication). P.C.Zabey, Found.Phys. 5, 323 (1975)

20 S.J.Guccione, Not.Am.Math.Soc. 23, A150 (1976)

21 J.G.Belinfante, J.Math.Phys. 17, 285 (1976)

22 A.R.Blass, P.Am.Math.Soc. 55, 75 (1976)

23 P.C.Deliyannis, J.Math.Phys. 17, 653 (1976)

24 S.J.Guccione, P.Am.Math.Soc. 59, 317 (1976)

25 S.J.Guccione, P.Am.Math.Soc. N82, 481 (1976)

26 B.A. Reznick, Banach spaces wich satisfy linear identities, (1976).

27 E.G. Beltrametti, One state transformations induced by yes-no experiments,in the context of quantum logic, Journal of Philosophical Logic (1977)

28 S.P.Gudder, BK*00819, 77, 242 (1977)

29 G.T.Ruttiman, J.Math.Phys. 18, 189 (1977)

30 E.G.R. Gerelle, Selection maps for quantum logics: applications to the classi-fication of elementary particles, Reports on Mathematicla Physics (1977)


32 S.P.Gudder, CMP 63, 265 (1978)

33 W.Guz, Ann.Inst.H.P. A29, 357 (1978)

34 S.P. Gudder, Axiomatic operational quantum mechanics, Reports on Mathe-matical Physics, Vol. 16 (1979).

2

1980:

35 S.P.Gudder, Siam.J.Math. 11, 984 (1980)

36 G.Svetlichny, Found.Phys. 11, 741 (1981)

37 E.B.Beltrametti and G.Casinelli, ”The logic ofQuantumMechanics” in ”En-ciclopedia of Mathenmatics”, ed. Gian Carlo Rota, Addison Wesley, London(1981)

38 J.Bell, Philos.Sci. 49, 355 (1982)

39 L.Accardi, Lect.N.Phys. 173, 1 (1982)

40 S. Bugajski, Languages Of Similarity, Journal Of Philosophical Logic (1983)

41 D.Foulis, Found.Phys. 13, 813 (1983)

42 C.Garola, Nouv.Cim. B77, 87 (1983)

43 H.Primas, ”Chemistry, Quantum Mechanicsand reductionism”, Springer Ver-lag, Berlin (1983)

44 P.Bush, Phys.Rev. D29, 1634 (1984)

45 D.W.Cohen, Int.J.Th.Phys. 23, 329 (1985)

46 S.Pulmannova, J.Math.Phys. 27, 1791 (1986)

47 G. Ludwic, An axiomatic basis for quantum mechanics, Vol. I-II (1987)

48 S.Gudder, J.Math.Phys. 28, 376 (1987)

49 G.Svetlichny, Int.J.Th.Phys. 26, 221 (1987)

50 R.I.Hughes, ”The Structure and Interpretation of Quantum Mechanics”, Har-vard Univ.Press, Cambridge, Massachusetts (1989)

51 S.Pulmannova, Int.J.Th.Phys. 28, 711 (1989)


53 S. Martinez, Luder’s Rule as a description of individual state transformations,Philosophy Of Science (1991)

54 B.C.Van Fraassen, ”Quantum Mechanics: an Empiricist view”, Clarendon,England (1991)

55 A. Stairs, Philosophical consequences of quantum theory: reflections on Bell’sTheorem, Synthese (1991)

56 M. Pavicic, Bibliography on quantum logic and related structures, Int. J.Theoretical Phys., Springer (1992)

57 A.Wilce, Int.J.Th.Phys. 31, 1915 (1992)

58 A. Dvurecenskij, Gleason’s Theorem and its applications, (1993)

3

59 D.Fivel, Phys.Rev. A 50,2108 (1994)

60 B.Coecke, Found.Phys. 25, 1185 (1995)

61 K.B Hansen, An inverse of Bell’s Theorem, Journal for general philosophy ofscience (1995)

62 M.J. Hadley, A gravitational explanation of quantum mechanics, ArXiv quant-ph/9609021 (1996)

63 G.W. Gibbons, Master equations and Majora spinors, Classical and QuantumGravity (1997)

64 M.Czachor and M.Kuna, in ”Physical Applications and math. aspects of geom-etry groups and algebras”, ed.H-D.Doebner, et al, World Scientific, Singapore(1997), p.451

65 M.Czachor, Phys.Lett.A 225, 1 (1997)

66 N.P.Landsman, Rev.Math.Phys.9, 29 (1997)

67 O. Rosas-Ortiz, Dynamical manipulation for spin-1/2 systems, ArXiv: quant-ph/9706044 (1997)

68 M.Czachor, Phys.Lett.A 239, 353, (1998)

69 N.P.Landsman, Int.J.Th.Phys.37, 243 (1998)

70 M.Czachor, Phys.Rev.A 57, 4122 (1998)

71 N.P.Landsman, ”Mathematical Topics Between Classical and Quantum Me-chanics”, Springer Verlag, New York (1998)

72 K. Svozil, Quantum logic, (1998)


74 D.Aerts, S.Aerts, T.Durt, et al., Int.J.Theor. Phys. 38, 407 (1999)

75 B.D’Hooghe, J.Pykacz, Int.J.Theor.Phys. 38, 387 (1999)

76 D.J.Foulis, R.J.Greechie, Int.J.Theor.Phys. 38, 3189 (1999)

2000:

77 B. Coecke, D. Moore, ArXiv quant-ph/0008019,(2000)

78 P.Pesic, Found.Phys.Lett. 13, 55 (2000)

79 E.G.Beltrametti, S.Bugajski, Found.Phys. 30, 1415 (2000)

80 B. Coecke, A representation for a spin-s entity as a compound system in R3consisting of 2S individual spin-1/2 entities, ArXiv quant-ph/0105094 (2001)

81 D.C.Brody, L.P.Hughston, J.Geom.Ph. 38,19 (2001)

82 M.V. Karasev, Lett.Math.Phys. 56, 229 (2001)

4

83 L. Hardy, Quantum theory form five reasonable axioms, ArXiv quant-ph/0101012(2001)

84 L. Hardy, Why quantum theory?, Nonlocality and modality, (2002)

85 H. Garcia-Compean, J.F. Plebanski, M. Przanowski, F.J. Turrubiates, Defor-mation quantization of geometric quantum mechanics, J. Phys. A: Mathemati-cal and General, 35 (19), pp. 4301-4319 (2002).

86 L. Hardy, Probability theories in general and quantum theory in particular,Studies in History and Philosophy of Science Part B - Studies in History andPhilosophy of Modern Physics, 34 (3), pp381-393 (2003).

87 D. Aerts, S. Pulmanova, Representation of state property systems, J. Math.Phys., 47 (7), (2006).

88 M. Karasev, Resonance gyrons and quantum geometry, From Geometry OfQuantum Mechanics (2007)

89 K. Zycskowski, J. Phys. A: Mathematical and Theoretical, 41 (35), (2008).

2010:

90 V.I. Danilov, A. Lambert-Mogiliansky, Expected utility theory under non-classical uncertainty, Theory and Decision, 68 (1-2), 25-47, (2010).

91 W. A. Majewski, T.I. Tylec, Remarks on effects algebras, Int. J. TheoreticalPhys., 49 (12), 3185-3191, (2010).

92 S. Cruz y Cruz, J. Medina, Simulation of non resonant quantum control pro-tocols for a single qubit, AIP Conference Proceedings, 1287, 64-73, (2010).

93 F. Holik, C. Massri, Convex quantum logic, ArXiv:1008.4168 (2010)

94 Holik, F. and Plastino, A., Convex polytopes and quantum separability, PhysicalReview A - Atomic, Molecular, and Optical Physics, 2011, 84, 6.

95 Holik, F. and Plastino, A., Quantal effects and MaxEnt, Journal of MathematicalPhysics, 2012, 53, 7.

96 Holik, F. and Massri, C. and Ciancaglini, N., Convex Quantum Logic, Interna-tional Journal of Theoretical Physics, 2012, 51, 5, 1600-1620.

97 Holik, F. and Massri, C. and Plastino, A. and Zuberman, L., On the LatticeStructure of Probability Spaces in Quantum Mechanics, International Journalof Theoretical Physics, 2013, 52, 6, 1836-1876.

98 Muller, M.P. and Masanes, L., Three-dimensionality of space and the quantumbit: An information-theoretic approach, New Journal of Physics, 2013, 15.

99 Holik, F. and Saenz, M. and Plastino, A., A discussion on the origin of quantumprobabilities, Annals of Physics, 2014, 340, 293-310.

5

7 .I. Bialynicki-Birula, B. Mielnik and J. Plebanski, Explicit Solution of theContinuous Baker-Campbell-Haussdorff Problem and a new Expansion of thePhase Operator, Ann. Phys. 51, 187 (1969).

1 D.Voslambe, J.Math.Anal. 37, 403 (1972)

2 R.Wilcox, J.Math.Anal. 39, 92 (1972)

3 J.R.Ackerhal, Phys.Rev.A12, 2549 (1975)

4 L.Mattson, Nucl.Phys. B95, 434 (1975)

5 G.S.Aqarwal, Phys.Rev.A11, 253 (1975)

6 W.E.Brittin, CMP 49, 107 (1976)

7 M.Mehring, Num.Bas.P.P.R11, 1 (1976)

8 W.H.Klink,J.Math.Phys. 20, 2514 (1979)

9 K.Wodkiewicz, Opt.Commun.34, 393 (1980)

10 V.Ville, Phys.Lett.A82, 389 (1981)

11 S.Mucamel, J.Chem.Phys. 75, 159 (1981)

12 H.D.Dahmen, Z.Phys. C12, 229 (1982)

13 U.Wille, Z.Phys.A308, 3 (1982)

14 R.Tycko, Phys.Rev.Lett. 51, 775 (1983)

15 R.Tycko, J.Chem.Phys.81, 680 (1984)

16 Ch.Dasso, Nucl.Phys.A432, 495 (1985)

17 R.Tycko, J.Chem.Phys.83, 2775 (1985)

18 G.Wenes, Nucl.Phys.A443, 472 (1985)

19 A.Brodka, Molec.Phys.C56, 1207 (1985)

20 A.Brodka, J.Mol.Struc.143, 283 (1986)

21 F.Catara, Nucl.Phys.A455, 158 (1986)

22 H.D.Dahmen, Phys.Rev.D33, 1726 (1986)

23 W.R.Salzman, J.Chem.Phys.85, 4605 (1986)

24 B.Stryczek, Molec.Phys.58, 369 (1986)

25 V.Wille, Phys.Report R132, 129 (1986)

26 G.Goelman, J.Chem.Phys.87, 31 (1987)

27 K.Kowalski, Physica A145, 408 (1987)

6

28 N.Manockbo, Phys.Rev.A(N)36, 4132 (1987)

29 M.M.Maricq, J.Chem.Phys.86, 5647 (1987)

30 W.R.Salzman, Phys.Rev.A(N)36, 5074 (1987)

31 A.J.Shaka, J.Phys.A20, 2849 (1987)

32 J.Stein, J.Phys.A20, 2849 (1987)

33 H.D.Dahmen, Phys.Rev.D38, 1176 (1988)

34 H.D.Dahmen, Z.Phys.C40, 425 (1988)

35 H.D.Dahmen, Z.Phys.C40, 435 (1988)

36 M.A.Depurtui, Phys.Rev.A37 4752 (1988)

37 L.Fonda, Phys.Report R158, 160 (1988)

38 A.J.Shaka, J.Magn.Res.77, 274 (1988)

39 H.D.Dahmen, Z.Phys.C44, 139 (1989)

40 G.Goelman, Phys.Rev.A39, 5725 (1989)

41 R.V.Chacon, Adv.Math. 88, 200 (1991)

42 J.C.Dolivo, Phys.Rev.D 45, 924 (1992)

43 J.Sladkowski, Int.J.Th.Phys. 32, 901 (1993)

44 D.C.Ionescu, Phys.Rev.A49, 3188 (1994)

45 J.Czyz ”Paradoxes of measures and dimensions originated in Felix Hausdorffideas”, World Sci. Singapore (1994)

46 K.Hencken, Phys.Rev.A51, 998 (1995)

47 L.Lusanna, Int.J.Mod.Phys. 10, 3675 (1995)

48 I.M.Gelfand, Adv.Math. 112, 218 (1995)

49 J.C. d’Olivo, Phys.Rev.D 54, 1187 (1996)

50 F. Zardi, Nuov.Cim.A 109, 1219 (1996)


52 M.Hohwy, N.C.Nielsen, J.Chem.Phys.106, 7571 (1997)

53 M.Suzuki, J.Math.Phys. 38, 1183 (1997)

54 Krob, D and Leclerc, B and Thibon, JY,INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 1997,7, 2, 181-264.DOI: 10.1142/S0218196797000113,

55 Hohwy, M and Nielsen, NC,JOURNAL OF CHEMICAL PHYSICS, 1997, 106, 18, 7571-7586.DOI: 10.1063/1.473760,

7

56 Hohwy, M and Nielsen, NC,JOURNAL OF CHEMICAL PHYSICS, 1998, 109, 10, 3780-3791.DOI: 10.1063/1.476978,

2000:

57 Moan, PC and Oteo, JA,JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42, 1, 501-508.DOI: 10.1063/1.1330198,

58 Untidt, TS and Nielsen, NC,PHYSICAL REVIEW E, 2002, 65, 2, Part 1.DOI: 10.1103/PhysRevE.65.021108,

59 Franson, JD and Donegan, MM,PHYSICAL REVIEW A, 2002, 65, 5, Part a.DOI: 10.1103/PhysRevA.65.052107,

60 Przanowski, M and Turrubiates, FJ,JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35,49, 10643-10661.DOI: 10.1088/0305-4470/35/49/312,

61 Blanes, S and Casas, F,LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 378, 135-158.DOI: 10.1016/j.laa.2003.09.010,

62 Znidaric, M and Prosen, T,PHYSICAL REVIEW A, 2005, 71, 3, Part a.DOI = 10.1103/PhysRevA.71.032103,

63 Aparicio, ND and Malham, SJA and Oliver, M,BIT NUMERICAL MATHEMATICS, 2005, 45, 2, 219-258.DOI: 10.1007/s10543-005-0001-8,

64 Moan, PC,JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39,19, 5545-5561.DOI: 10.1088/0305-4470/39/19/S13,

65 Czachor, Marek and Naudts, Jan,INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2007, 46, 1,73-104.DOI: 10.1007/s10773-006-9199-8,

66 Moan, Per Christian and Niesen, Jitse,FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2008, 8, 3, 291-301.DOI: 10.1007/s10208-007-9010-0,

8

67 Blessenohl, Dieter,JOURNAL OF ALGEBRAIC COMBINATORICS, 2008, 28, 1, 25-42.DOI: 10.1007/s10801-007-0118-8,

68 Supanitsky, A. D. and D’Olivo, J. C. and Medina-Tanco, G.PHYSICAL REVIEW D, 2008, 78, 4.DOI: 10.1103/PhysRevD.78.045024,

69 Blanes, S. and Casas, F. and Oteo, J. A. and Ros, J.,PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009,470, 5-6, 151-238.DOI: 10.1016/j.physrep.2008.11.001,

70 Brouder, Christian and Patras, Frederic,JOURNAL OF ALGEBRA, 2009, 322, 11, 4105-4120.DOI: 10.1016/j.jalgebra.2009.07.017,

9

8 B. Mielnik, Theory of Filters,Commun. Math. Phys. 15, 1 (1969).

1 W.Berzi, Ann.Inst.H.P. a16, 83 (1972)

2 G.Dahn, CMP 28, 109 (1972)

3 C.M.Edwards, CMP 24, 260 (1972)

4 S.Gudder, CMP 29, 249 (1973)

5 Ch.Randal, J.Math.Phys. 14, 1472 (1973)

6 K.Bugajska, B.Pol.Math. 21, 873 (1973)

7 C.V.Stanojevic, Trans.Am.Math.Soc. 183, 441 (1973)

8 G.Cattaneo, P.Camb.Phil. 76, 115 (1974)

9 W.M.Cornette, J.Math.Phys. 15, 842 (1974)

10 (private commun).W.M.Cornette, J.Math.Phys. 15, 842 (1974)

12 D.J.Foulis, C.H.Randall, in ”Foundations of Quantum Mechanics and OrderedLinear Spaces”, Springer-Verlag, Berlin (1974), pp.230-250.

13 U. Krause, in ”Foundations of Quantum Mechanics and Ordered Linear Spaces”,Springer-Verlag, Berlin (1974), pp.269-280.


15 E.Beltrametti, Riv.Nuov.Cim. 6, 321 (1976)

16 P.C.Delliyannis, J.Math.Phys. 17, 653 (1976)

17 S.P.Gudder, Siam.Rev. 19, 221 (1977)

18 S.P.Gudder, BK*00819 1977, 247 (1977)

19 E.M.Alfsen, Acta Math. 140.

20 S.P.Gudder, CMP 63, 265 (1978)

21 W.Guz, Ann.Inst.H.P. A29, 357 (1978)

22 E.M.Alfsen, P.Lond.Math. 38, 497 (1979)

23 H.Araki, CMP 75, 1 (1980)

24 S.Bugajski, Int.J.Th.Phys. 19, 499 (1980)

25 C.Garola, Int.J.Th.Phys. 19, 369 (1980)

26 S.P.Gudder, Siam.J.Math. 11, 984 (1980)


28 R.E.Artz, Found.Phys. 11, 839 (1981)

10

29 W.Guz, Fortschr.Phys. 29, 345 (1981)

30 S.Bugajski, in ”Current Issues in Quantum Logic”, ed. E.Beltrametti, Plenum,New York (1981)

31 E.B.Beltrametti and G.Casinelli, ”The logic of Quantum Mechanics” in ”En-ciclopedia of Mathenmatics”, ed. Gian Carlo Rota, Addison Wesley, London(1981).

32 J.Bell, Philos.Sci. 49, 355 (1982)

33 C.Garola, Nouv.Cim. B77, 87 (1983)


35 H.Primas, ”Chemistry, Quantum Mechanicsand reductionism”, Springer Ver-lag, Berlin (1983)

36 P.Bush, Phys.Rev. D29, 1634 (1984)

37 J.Plebanski, Int.J.Th.Phys. 23, 895 (1984)


39 S.Gudder, J.Math.Phys. 28, 376 (1987)

40 H.Kummer, Found.Phys. 17, 1 (1987)


42 S.A.Ajupov, Lin.Alg.App. 142, 83 (1990)

43 P.Bush and P.J.Lahti, Found.Phys. 20, 1429 (1990)

44 D.Fivel, Phys.Rev.Lett. 67, 285 (1991)

45 H.Kummer, Found.Phys. 21, 1021 (1991)

46 G.Cattaneo, Int.J.Th.Phys. 32, 407 (1993)

47 R.Cirelli, Rev.Math.Phys.6, 675 (1994)

48 P.Bush, M.Grabowski and P.T.Lahti, ”Operational Quantum Physics”, Springer,Berlin 1995 (Cap.1)

49 P.Nattermann, ”Dynamics in Borel Quantization: Nonlinear Schrodinger Eqs.vs.Master Eqs.” Ph.D.Thesis, Clausthal, June 20, 1997


51 M.Czachor, Phys.Lett. A 225, 1 (1997)

52 M.Czachor and M.Kuna, in ”Physical Applications and math. aspects of geom-etry groups and algebras”, ed.H-D.Doebner, et al, World Scientific, Singapore(1997), p.451.



11


56 B.Coecke, J.Math.Anal.220, 603 (1998)



59 H.D.Doebner, ”Remarks on nonlinear quantum theory”, in ”Proc. of the 5thWigner Symposium”, World Scientific, Singapore (1998), pp.480-483.

2000:


61 P.M.Alberti, Act.Appl.Math. 60, 1 (2000)

62 D.C.Brody, L.P.Hughston, J.Geom.Ph. 38, 19 (2001)

63 Barnum, H, Quantum information processing, operational quantum logic, con-vexity, and the foundations of physics, STUDIES IN HISTORY AND PHILOS-OPHY OF MODERN PHYSICS, 2003, 34B, 3, 343-379.

64 Halvorson, H, On information-theoretic characterizations of physical theories,STUDIES IN HISTORY AND PHILOSOPHY OF MODERN PHYSICS, 2004,35B, 2, 277-293.

65 Aerts, D. and Pulmannova, S., Representation of state property systems,JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47, 7.

66 Zyczkowski, Karol, Quartic quantum theory: an extension of the standardquantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL AND THE-ORETICAL, 2008, 41, 35.

67 I. Bengtson and K. Zyczkowski, ”Geometry of quantum states: an introductionto quantum entanglement”, C.U.P (2008).

2010:

68 Ududec, Cozmin and Barnum, Howard and Emerson, Joseph, Three Slit Exper-iments and the Structure of Quantum Theory, FOUNDATIONS OF PHYSICS,2011, 41, 3, 396-405.

69 Holik, F. and Plastino, A., Convex polytopes and quantum separability, PHYS-ICAL REVIEW A, 2011, 84, 6.

70 Fivel, Daniel I., Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms, FOUNDATIONS OF PHYSICS, 2012, 42, 2, 291-318.

71 Hardy, L., The operator tensor formulation of quantum theory, PhilosophicalTransactions of the Royal Society A: Mathematical, Physical and EngineeringSciences, 2012, 370, 1971, 3385-3417.

12

72 Holik, F. and Plastino, A., Quantal effects and MaxEnt, Journal of Mathemat-ical Physics, 2012, 53, 7.

73 Holik, F. and Massri, C. and Ciancaglini, N., Convex Quantum Logic, Interna-tional Journal of Theoretical Physics, 2012, 51, 5, 1600-1620.

74 Hardy, L., On the theory of composition in physics, Lecture Notes in ComputerScience (including subseries Lecture Notes in Artificial Intelligence and LectureNotes in Bioinformatics), 2013, 7860 LNCS, 83-106.

75 Holik, F. and Massri, C. and Plastino, A. and Zuberman, L., On the LatticeStructure of Probability Spaces in Quantum Mechanics, International Journalof Theoretical Physics, 2013, 52, 6, 1836-1876.

76 Holik, F. and Senz, M. and Plastino, A., A discussion on the origin of quantumprobabilities, Annals of Physics, 2014, 340, 293-310.

13

10 B. Mielnik and J. Plebanski, Combinatorial Approach to Baker-Campbell-Haussdorff formula, Ann. Inst. H. Poincare 12, 215 (1970).

1 G.W.Parker, Am.J.Phys. 40, 120 (1972)

2 E.K.Gora, Int.J.Quant. 6, 681 (1972)

3 E.Schmutzer, Fortschr.Phys. R25, 37 (1977)

4 K.Wodkiewicz, Opt.Commun. 34, 393 (1980)

5 W.Witschel, Int.J.Quant. 20, 1233 (1981)

6 A.Palma, Int.J.Quant. 393 (1983)

7 V.A.Kostelecki, J.Math.Phys. 27, 1419 (1986)

8 M.Suzuki, J.Stat.Phys. 43, 883 (1986)

9 V.A.Kostelecki, J.Math.Phys. 28, 2480 (1987)

10 B.W.Fatyga, J.Math.Phys. 30, 291 (1989)

11 J.Morales, J.Math.Phys. 30, 393 (1989)

12 J.A.Oteo, J.Math.Phys. 32, 419 (1991)

13 B.W.Fatyga, Phys.Rev. D43, 1403 (1991)

14 V.A.Kostelecki, Phys.Rev. A 48, 1045 (1993)

15 J.Czyz, ”Paradoxes of measures and dimensions originated in Felix Hausdorffideas”, World Sci. Singapore (1994)

16 I.M.Gelfand, Adv.Math. 112, 218 (1995)

17 L.Lusanna, Int.J.Mod.Phys. 10, 3675 (1995)

18 B.Leclerc, J.Comb.Th.A 75, 55 (1996)

19 D.E.Jaramillo, Rev.Mex.Fis.44, 316 (1998)

20 H.Kobayashi, Physica A 250, 535 (1998)

2000:

21 R.Suarez, L.Saenz, J.Math.Ph. 47, 4582 (2001)

22 L.Saenz, R.Suarez, Syst.Contr.Lett. (2002)

23 Zuniga-Segundo, A and Lopez-Bonilla, JL, Quantitative analysis using squeezedstates defined in the coherent-state quantum phase-space representation, CHI-NESE JOURNAL OF PHYSICS, 2002, 40, 3, 228-241.

14

24 Zuniga-Segundo, A, Squeezed displaced number states defined in the coherent-state quantum phase-space representation of quantum mechanics, CHINESEJOURNAL OF PHYSICS, 2002, 40, 3, 223-227.

25 Zuniga-Segundo, A, Induction of Schrodinger cat type states by canonicaltransformations in quantum phase space, REVISTA MEXICANA DE FISICA,2003, 49, 5, 401-406.

26 Carinena, Jose F. and Ebrahimi-Fard, Kurusch and Figueroa, Hector andGracia-Bondia, Jose M., Hopf algebras in dynamical systems theory, INTERNA-TIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS,2007, 4, 4, 577-646.

27 Blanes, S. and Casas, F. and Oteo, J. A. and Ros, J., The Magnus expansionand some of its applications, PHYSICS REPORTS-REVIEW SECTION OFPHYSICS LETTERS, 2009, 470, 5-6, 151-238.

28 Ebrahimi-Fard, Kurusch and Manchon, Dominique, A Magnus- and Fer-TypeFormula in Dendriform Algebras, FOUNDATIONS OF COMPUTATIONALMATHEMATICS, 2009, 9, 3, 295-316.

29 Ebrahimi-Fard, Kurusch and Manchon, Dominique and Patras, Frederic, Anoncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solvesBogoliubov’s recursion, JOURNAL OF NONCOMMUTATIVE GEOMETRY,2009, 3, 2, 181-222.

30 Brouder, Christian and Patras, Frederic, Hyperoctahedral Chen calculus foreffective Hamiltonians, JOURNAL OF ALGEBRA, 2009, 322, 11, 4105-4120.

31 Ebrahimi-Fard, Kurusch and Manchon, Dominique, Dendriform equations,JOURNAL OF ALGEBRA, 2009, 322, 11, 4053-4079.

32 Zuniga-Segundo, A. and Lopez-Bonilla, J. L., Husimi’s Wave Functions andQuantum Interference in Phase-space, CHINESE JOURNAL OF PHYSICS,2009, 47, 5, 633-644.

2010:

33 Bernardo Wolf, Kurt, The repulsive oscillator, REVISTA MEXICANA DEFISICA E, 2010, 56, 1, 83-91.

34 Palma, A. and Villa, M. and Sandoval, L., On the Time-Dependent Solu-tions of the Schrodinger Equation. I. The Linear Time-Dependent Potential,INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2011, 111, 7-8,1646-1650. DOI: 10.1002/qua.22781.

35 Ebrahimi-Fard, Kurusch and Manchon, Dominique, Twisted dendriform alge-bras and the pre-Lie Magnus expansion, JOURNAL OF PURE AND APPLIEDALGEBRA, 2011, 215, 11, 2615-2627. DOI: 10.1016/j.jpaa.2011.03.004.

15

36 Achilles, R. and Bonfiglioli, A., The early proofs of the theorem of Campbell,Baker, Hausdorff, and Dynkin, Archive for History of Exact Sciences, 2012, 66,3, 295-358.

37 Novelli, J.C. and Thibon, J.Y., Noncommutative symmetric functions and anamazing matrix, Advances in Applied Mathematics, 2012, 48, 3, 528-534.

38 Bonfiglioli, A. and Fulci, R., Topics in noncommutative Algebra: The Theoremof Campbell, Baker, Hausdorff and Dynkin, Lecture Notes in Mathematics 2012,2034, 1-564.

16

11 B. Mielnik, Generalized Quantum Mechanics, Commun. Math. Phys. 31, 221(1974).


2 R.Cotecky, Cesk.C.Fys.R. 25, 448 (1975)

3 E.G.Beltrametti, Riv.N.Cim. 6,321 (1976)

4 I.Bialynicki, Ann.Phys. 100, 62 (1976)


6 R.Penrose, Gen.Rel.Grav. 7, 171 (1976)

7 S.L.Woronowicz, CMP 51, 243 (1976)

8 A.Posiewnik, Int.J.Th.Phys. 16, 195 (1977)

9 R.Haag, CMP 60, 1 (1978)

10 S.P.Gudder, CMP 63, 265 (1978)

11 T.W.Kibble, CMP 64, 73 (1978)

12 W.Guz, Ann.Inst.H.P. A29, 357 (1978)

13 E.B.Davies, CMP 64, 191 (1979)

14 T.W.Kibble, CMP 65, 189 (1979)


16 E.B.Davies, BK*15197 57, 239 (1980)

17 C.Garola, Int.J.Th.Phys. 19,369 (1980)

18 T.A.Minelli, Lett.N.Cim. C27, 413 (1980)

19 W.Ulmer, Theor.Chim. 55, 179 (1980)

20 J.Waniewski, CMP 76, 27 (1980)

21 T.W.Kibble, J.Phys. A 13, 141 (1980)


23 J.Bell, in ”II Oxford Quantum Gravity”, ed. R.Penrose et al. OUP, Oxford(1980

24 E.B.Beltrametti and G.Casinelli, ”The logic ofQuantumMechanics” in ”En-ciclopedia of Mathenmatics”, ed. Gian Carlo Rota, Addison Wesley, London(1981)

25 S.Bugajski, in ”Current Issues in Quantum Logic” ed. E.Beltrametti, Plenum,New York (1981)

17

26 M.Abbati, in ”Current Issues in Quantum Logic” ed. E.Beltrametti, Plenum,New York (1981)

27 E.B.Beltrametti, in ”Current Issues in Quantum Logic” ed. E.Beltrametti,Plenum, N.York (1981)

28 W.Guz, Fortschr.Phys. 29, 345 (1981)

29 D.N.Page, Phys.Rev.Lett. 47, 979 (1981)

30 G.Svetlichny, Found.Phys. 11, 741 (1981)

31 E.W.Mielke, Fortschr.Phys. 29, 551 (1981)

32 M.D.Srinivas, Pramana 19, 159 (1982)

33 J.Pykacz, Int.J.Th.Phys. 22, 97 (1983)


35 H.Primas, ”Chemistry, Quantum Mechanics and reductionism”, Springer Ver-lag, Berlin (1983)

36 D.Schuch, Int.J.Quant. 25, 391 (1984)

37 J.Plebanski, Int.J.Th.Phys. 23, 895 (1984)

38 R.Penrose, in ”Quantum Theory and Gravity”, ed. Adam Hilger Ltd. Bristol(1984)

39 F.M.Giusto, Physica D11, 227 (1984)

40 E.F.Hefter, Acta.Phy.P.A. 65, 377, (1984)

41 E.F.Hefter, Phys.Rev. A(N)32, 1201 (1985)


43 T.A.Minelli, Nuov.Cim. B85, 1 (1985)



46 G.Cattaneo, Nouv.Cim. B90, 161 (1985)

47 J.Waniewski, J.Math.Phys. 27, 1796 (1986)

48 R.Werner, Phys.Rev. D34, 463 (1986)

49 G.Swetlichny, Int.J.Th.Phys. 26, 221 (1987)

50 W.Ulmer, Int.J.Th.Phys. 27, 467 (1988)

51 P.O.Lowdin. J.Molecular.Struct. (Theochem) 165, 177 (1988)

52 W.Ulmer, Int.J.Th.Phys. 28, 527 (1989)

53 S.Weinberg, Ann.Phys. 194, 336 (1989)

54 C.Schnidle, Found.Phys. 19, 1299 (1989)

18

55 A.Shimony,”The conceptual foundations of quantum mechanics”, inTheNewOhysics”Cambridge Univ.Press (1989), p.391.

56 A.D.Popowa, J.Math.Phys. 31, 1299 (1990)

57 R.Cirelli, J.Math.Phys. 31, 2891 (1990)

58 J.Anandan, Found.Phys. 21, 1265 (1991)

59 O.Bertolam, Phys.Lett.A154, 225 (1991)


61 C.Schindler, Int.J.Th.Phys. 30, 1409 (1991)

62 D.J.Fernandez, N.Cim. B107, 885 (1992)

63 G.Gerlich, Int.J.Th.Phys. 31, 1103 (1992)

64 P.Blanchard, Phys.Lett.A 175, 157 (1993)

65 V.V.Dodonov, J.Phys.A 26, 7163 (1993)

66 R.Cirelli, Rev.Math.Phys.6, 675 (1994)

67 V.V.Dodonov, Ann.Phys. 237, 226 (1995)

68 V.V.Dodonov, Physica A 214, 619 (1995)

69 E.G.Beltrametti, Int.J.Th.Ph.34, 1221 (1995)

70 E.G.Beltrametti, J.Phys.A28, 3329 (1995)

71 R.G.Greechie, Int.J.Th.Ph.34, 1369 (1995)

72 L.P.Hugston, in twistor theory, publ.Marcel Dekker, Inc., New York (1995),pp.59-79.

73 H.D.Doebner, Acta Ph.Polon.B 27, 2327 (1996)

74 H.D.Doebner, Phys.Rev.A 54, 3764 (1996)

75 W.Lucke, Acta Phys.Polon.B 27, 2357 (1996)

76 L.P.Hughston, Proc.Roy.Soc.A 452, 953 (1996)


78 P.Nattermann, in ”Symmetry in Science IX”, ed.B.Gruber, Plenum Publ., NewYork (1997)

79 P.Nattermann, ”Dynamics in Borel Quantization: Nonlinear Schrodinger Eqs.vs.Master Eqs.” Ph.D.Thesis, Clausthal, June 20, 1997.

80 P.Nattermann, in ”Physical Applications and math: aspects of geometry groupsand algebras”, ed.H-D.Doebner, et al, World Scientific, Singapore (1997), p.428.

81 M.Czachor and M.Kuna, in ”Physical Applications and math. aspects of geom-etry groups and algebras”, ed.H-D.Doebner, et al, World Scientific, Singapore(1997), p.451.

19

82 H.C.Rosu, Metaphys.Rev. 3, 8 (1997)

83 W.Lucke and P.Nattermann, in ”Symmetries in Science X”, Bregenz (1997)


85 A.Corichi, M.P.Ryan, J.Phys.A 30, 3553 (1997)

86 A.Shimony, in ”The large, theSmall and the Human Mind”, ed.M.Longair,CUP (1997), p.144.

87 R.Penrose, in ”The large, theSmall and the Human Mind”, ed.M.Longair, CUP(1997), p.176.

88 S.S.Mizrahi, Phys.Scr.57, 24 (1998)




92 V.V.Dodonov, Phys.Scr.59, 81 (1999)

93 H-D.Doebner, G.A.Goldin, P.Nattermann, J.Math.Phys. 40, 49 (1999)

94 R.Cirelli, M.Gatti, A.Mania, J.Geom.Phys. 29, 64 (1999)

95 J.Finkelstein, Phys.Rev.A 60, 1723 (1999)

2000:

96 P.Bona, Acta Phys.Slov. 50, 1 (2000)

97 D.C.Brody, L.P.Hughston, J.Math.Phys. 41, 2586 (2000)

98 C.C.Yan, Found.Phys.Lett. 13, 369 (2000)

99 M.Del Seta, G.Cattaneo, Int.J.Theor.Phys. 39, 621 (2000)


101 Brody, DC and Hughston, LP, Stochastic reduction in nonlinear quantummechanics, Proc. Royal Society A-Math. Phys. Eng. Sci. 2002, 458, 2021,1117-1127.

102 Garcia-Compean, H and Plebanski, JF and Przanowski, M and Turrubiates,FJ, Deformation quantization of geometric quantum mechanics, JOURNAL OFPHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35, 19, 4301-4319.

103 Wang, CHT and Kessari, S and Irvine, ER, An action principle for the quan-tization of parametric theories and nonlinear quantum cosmology, CLASSICALAND QUANTUM GRAVITY, 2004, 21, 9, 2319-2332.

20

104 Doebner, HD and Goldin, GA, Editor = Gazeau, JP and Kerner, R andAntoine, JP and Metens, S and Thibon, JY, Nonlinear extension of quantummechanics: Remarks and recent results, BookGROUP 24 : PHYSICAL ANDMATHEMATICAL ASPECTS OF SYMMETRIES, Series = INSTITUTE OFPHYSICS CONFERENCE SERIES, 2003, 173, 539-543.

105 Jejjala, V and Minic, D and Tze, CH, Towards a background independentquantum theory of gravity, INTERNATIONAL JOURNAL OF MODERN PHYSICSD, 2004, 13, 10, 2307-2313.

106 Carroll, R, Information, quantum mechanics, and gravity, FOUNDATIONSOF PHYSICS, 2005, 35, 1, 131-154.

107 Korbicz, JK and Cirac, JI and Wehr, J and Lewenstein, M, Hilbert’s 17thproblem and the quantumness of states, PHYSICAL REVIEW LETTERS, 2005,94, 15.

108 Wang, CHT, Nonlinear quantum gravity on the constant mean curvaturefoliation, CLASSICAL AND QUANTUM GRAVITY, 2005, 22, 1, 33-45.

109 Skulimowski, M, Quantum world with quantum time, FOUNDATIONS OFPHYSICS LETTERS, 2006, 19, 2, 127-141.

110 Leifer, P, An affine gauge theory of elementary particles (vol 18, pg 195,2005), FOUNDATIONS OF PHYSICS LETTERS, 2006, 19, 3, 297.

111 Korbicz, J. K. and Lewenstein, M., Group-theoretical approach to entangle-ment, PHYSICAL REVIEW A, 2006, 74, 2.

112 Khrennikov, Andrei, Nonlinear Schrodinger equations from prequantum clas-sical statistical field theory, PHYSICS LETTERS A, 2006, 357, 3, 171-176.

113 Korbicz, J. K. and Lewenstein, M., Remark on a group-theoretical formal-ism for quantum mechanics and the quantum-to-classical transition, FOUNDA-TIONS OF PHYSICS, 2007, 37, 6, 879-896.

114 Adler, Stephen L., A density tensor hierarchy for open system dynamics: re-trieving the noise, JOURNAL OF PHYSICS A-MATHEMATICAL AND THE-ORETICAL, 2007, 40, 30, 8959-8990.

115 Jejjala, Vishnu and Kavic, Michael and Minic, Djordje, Time and M-theory,INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22, 20, 3317-3405.

116 Jejjala, Vishnu and Minic, Djordje, Why there is something so close to noth-ing: Towards a fundamental theory of the cosmological constant, INTERNA-TIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22, 10, 1797-1818.

117 Goldin, G. A., Nonlinear quantum mechanics: Results and open questions,PHYSICS OF ATOMIC NUCLEI, 2008, 71, 5, 884-891.

21

118 Zyczkowski, Karol, Quartic quantum theory: an extension of the standardquantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL AND THE-ORETICAL, 2008, 41, 35.

119 Brody, Dorje C. and Gustavsson, Anna C. T. and Hughston, Lane P., Sym-plectic approach to quantum constraints, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 47.

120 Rau, Jochen, On quantum vs. classical probability, ANNALS OF PHYSICS,2009, 324,s 12, 2622-2637.

2010:

121 Brody, Dorje C. and Gustavsson, Anna C. T. and Hughston, Lane P., Nonlin-earity and constrained quantum motion, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2010, 43, 8.

122 Holik, F. and Plastino, A., Convex polytopes and quantum separability,PHYSICAL REVIEW A, 2011, 84, 6.

123 Muller, M.P. and Oppenheim, J. and Dahlsten, O.C.O., The black hole in-formation problem beyond quantum theory, of High Energy Physics, 2012, 20129.

124 Holik, F. and Plastino, A., Quantal effects and MaxEnt, of MathematicalPhysics, 2012, 53, 7.

125 Khrennikov, A., Towards new Grangier type experiments, Annals of Physics,2012, 327, 7, 1786-1802.

126 Molladavoudi, S. and Zainuddin, H. and Chan, K.T., Jensen-Shannon diver-gence and non-linear quantum dynamics, Physics Letters, Section A: General,Atomic and Solid State Physics, 2012, 376, 26-27, 1955-1961.

127 Holik, F. and Massri, C. and Ciancaglini, N., Convex Quantum Logic, Inter-national of Theoretical Physics, 2012, 51, 5, 1600-1620.

128 Khrennikov, A., Quantum Correlations as Correlations of Classical GaussianSignals: ” Entanglement” at the Subquantum Level, Reports on MathematicalPhysics, 2012, 69, 2, 213-228.

129 Bertini, C. and Leporini, R., Logics from quantum computation with boundedadditive operators, International of Quantum Information, 2012, 10, 3,

130 Goldin, G.A., Diffeomorphism groups and nonlinear quantum mechanics, ofPhysics: Conference Series, 2012, 343.

131 Burik, N. and Popovik, D.B. and Radonjik, M. and Prvanoviok, S., Hamilto-nian Formulation of Statistical Ensembles and Mixed States of Quantum andHybrid Systems, Foundations of Physics, 2013, 43, 12, 1459-1477.

22

132 Kapustin, A., Is quantum mechanics exact?, of Mathematical Physics, 2013,54, 6.

133 Holik, F. and Massri, C. and Plastino, A. and Zuberman, L., On the Lat-tice Structure of Probability Spaces in Quantum Mechanics, International ofTheoretical Physics, 2013, 52, 6, 1836-1876.

134 Muller, M.P. and Masanes, L., Three-dimensionality of space and the quantumbit: An information-theoretic approach, New of Physics, 2013, 15.

135 Holik, F. and Saenz, M. and Plastino, A., A discussion on the origin of quan-tum probabilities, Annals of Physics, 2014, 340, 293-310.

12 B. Mielnik, Quantum Logic: is it necessarily Orthocomplemented?, (invited ar-ticle) in ”Quantum Mechanics, Determinism, Causality and Particles”, eds.Flato et.al., Reidel, Dordrecht, Holland (1976), pp. 117-135.


2 W.Guz, J.Phys. A13, 881 (1980)

3 N.Hadjisav, Found.Phys. 10, 751 (1980)

4 F.Thieffin, Lett.Nuov.Cim. 36, 377 (1983)


6 C.Garola, Nuov.Cim. B77, 87 (1983)

7 G.Cattaneo, J.Math.Phys. 25, 513 (1984)

8 D.J.Foulis, Found.Phys. 14, 65 (1984)

9 N.Hadjisav, Found.Phys. 14, 83 (1984)

10 T.A.Brody, Found.Phys. 14, 409 (1984)

11 S.Bugajski, in ”Current Issues in Quantum Logic” ed. E.Beltrametti, Plenum,New York (1981)

12 H.Primas, ”Chemistry, Quantum Mechanics and reductionism”, Springer Ver-lag, Berlin (1983)

13 F.Herbut, Lett.Math.Phys. 8, 397 (1984)


15 G.Cattaneo, Nuov.Cim. B90, 161 (1985)

16 D.W.Cohen, Int.J.Th.Phys. 26, 435 (1987)



23


20 G.Cattaneo, Found.Phys. 24, 631 (1994)


22 R.G.Greechie, Int.J.Th.Ph.34, 1369 (1995)


2000:

24 G.Cattaneo, G.Nistico, J.Math. Phys. 41, 4365 (2000)


14 B. Mielnik, Global Mobility of Schrodinger’s Particle, Rep. Math. Phys. 12,331 (1977).

1 E. Lubkin, Int.J.Th.Phys. 18, 165 (1979)

2 J.Waniewski, CMP 76, 27 (1980)


4 V.Cantoni, CMP 87, (1982)

5 L.Delapena, Found.Phys R12, 1017 (1982)


7 D.J.Fernandez, Nuov.Cim. B107, 885 (1992)

8 D.J.Fernandez C, Int.J.Theor.Phys. 33, 2037 (1994)

9 D.J.Fernandez C, NASA Conf.Publ.3286, eds.D.Han et al., Maryland (1995),p.207.

10 P.Nattermann, ”Dynamics in Borel Quantization: Nonlinear Schrodinger Eqs.vs.Master Eqs.” Ph.D.Thesis, Clausthal, June 20, 1997

11 P.Nattermann, in ”Symmetry in Science IX”, ed. B.Gruber, Plenum Publ.,New York (1997)

12 J.O.Rosas, ”Manipulacion Dinamica y Factorizacion Generalizada”, Ph.D.Thesis,Mexico (1997)

13 H.Ammann and N.Christensen, Phys.Rev.Lett. 78, 2088 (1997)


2000:

15 A.S. Holevo, ”Statistical Structure of Quantum Theory”, Lecture Notes inPhysics, New Series M, Monographs 67, 2001.

24

17 B. Mielnik, Mobility of Non-linear Systems, J. Math.Phys.21, 44 (1980).

1 E. Lubkin, Int.J.Th.Phys. 18, 519 (1979)


3 V.Cantoni, CMP 87, (1982)

4 K.Wodkiewicz, Phys.Rev.Lett. 52, 1064 (1984)




8 R.D.Tscheusc, Int.J.Th.Phys. 28, 1269 (1989)

9 G.Lindblad, Non-Equilibrium Entropy and Irreversibility, Reidel (1982), p.14.

10 N.Gisin, Am.J.Phys, 61, 86 (1993)

11 D.Makowiec, Phys.Lett A207, 37 (1995)

12 P.Nattermann, ”Dynamics in Borel Quantization: Nonlinear Schrodinger Eqs.vs.Master Eqs.” Ph.D.Thesis, Clausthal, June 20, 1997.

13 Czachor, M and Kuna, M, Complete positivity of nonlinear evolution: A casestudy, PHYSICAL REVIEW A, 1998, 58, 1, 128-134.

14 Czachor, M, Remarks on search algorithms and nonlinearity, ACTA PHYSICASLOVACA, 1998, 48, 3, 157-162.

2000:

15 E.G.Beltrametti, J.Math.Phys. 41, 2500 (2000)

16 M. Del Seta, Int.J.Theor.Phys. 39, 621 (2000)


18 Brody, Dorje C. and Gustavsson, Anna C. T. and Hughston, Lane P., Symplec-tic approach to quantum constraints, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 47.

25

18 B. Mielnik, G. Tengstrand, Nelson-Brown Motion: some question marks, Int.J. Th. Phys. 19, 239 (1980).


2 L.Delapena, Found.Phys R12, 1017 (1982)

3 M.T.Jaekel, J.Phys. A17, 131 (1984)

4 A.N.Kochubei, Math.USSRI 48, 73 (1986)

5 D.Blanchard, Phys.Rev.D34, 3732 (1986)

6 R.Werner, Phys.Rev.D34, 463 (1986)

7 V.Buonomano, Found.Phys. 18, 401 (1988)

8 B.M.Deb, Phys.Rev.A39, 1696 (1989)

9 A.Kypriani, Found.Phys. 22, 1449 (1992)

10 J.C.Vink, Phys.Rev. A46, 1808 (1993)

2000:

11 Fritsche, L and Haugk, M, A new look at the derivation of the Schrodingerequation from Newtonian mechanics, ANNALEN DER PHYSIK, 2003, 12, 6.

2010:

12 Goedecke, G. H. and Davis, Brian T., Continuity relations and quantum waveequations, NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2010, 125, 8, 941-955.

20 B. Mielnik, Quantum theory without axioms, II Oxford Quant Gravity, edR.Penrose, Oxford University Press (1981).


21 B. Mielnik, Factorization Method and New Potentials with the Oscillator Spec-trum, J. Math. Phys.25, 3387 (1984).

26

1 D.J.Fernandez, Lett.Math.Phys. 8, (1984)

2 M.M.Nieto, Phys.Lett.B208, 208 (1984)

3 B.N. Zakhariev, Moscow Energoizdat, (1985)

4 C.V.Sukumar, J.Phys.A18, 2917 (1985)

5 C.V.Sukumar, J.Phys.A18, 2937 (1985)

6 A.Frank, J.Math.Phys. 26, 973 (1985)

7 M.Humi, J.Math.Phys. 27, 76 (1986)

8 M.Luban, Phys.Rev.D33, 431 (1986)

9 P.Roy, Z.Phys.C31, 111 (1986)

10 P.Sodano, Phys.Rev.B(N)34, 4936 (1986)

11 M.J.Engelfield, J.Phys. A20, 593 (1987)

12 R.Montemayor, Phys.Rev. A36, 1562 (1987)

13 D.Zhu, J.Phys. A20, 4331 (1987)

14 O.B.Zaslawski, Theor.Math. 71, 520 (1987)

15 N.A.Alves, J.Phys. A21, 3215 (1988)

16 M.W.Coffey, J.Phys. N21, 3183 (1988)

17 E.Drigo, J.Phys. L21, 1025 (1988)

18 H.Sherrer,H. Risken, Phys.Rev.A38, 3949 (1988)

19 A.Lahiri, Phys.Rev.A(N)38, 6419 (1988)

20 H.R.Jauslin, J.Phys.A21, 2337 (1988)

21 G.W.Bluman, J.Math.Anal. 144, 565 ((1989)

22 V.Percoco, Phys.Lett. A141, 221 (1989)

23 A.Stalhof, Nuov.Cim.B104, 447 (1989)

24 O.C.W.Kong, Inverse.Pr. 5, 783 (1989)

25 O.C.W.Kong, Inverse.Pr. 5, 789 (1989)

26 A.Mitra, Int.J.Th.Phys. 28, 911 (1989)

27 R.Montemayor, Phys.Rev, A40, 2170 (1990)

28 A.Arai, Lett.Math.Phys. 19, 217 (1990)

29 R.Adhikari, J.Math.Phys. 32, 447 (1991)

30 J.Beckers, Z.Phys. C51, 519 (1991)

31 B.Roy, Fortschr.Ph. 39, 211 (1991)

32 O.L.de Lange and R.E.Raab, ”Operator Meth. in Quantum Mech.”, Clarendonpress, Oxford (1991)

27

33 J.Beckers, J.Math.Phys. 33, 152 (1992)

34 M.Bentaiba, Z.Naturfor. A47, 1013 (1992)

35 V.V.Ulyanov, Phys.Rep. 216, 179 (1992)

36 D.J.Fernandez, Europh.Lett. 21, 147 (1993)

37 D.J.Fernandez, V.Hussin and L.M.Nieto, J.Phys.A 27, 3547 (1994)

38 B.Dey, Int.J.Mod.Phys. 9, 2699 (1994)

39 D.J.Fernandez, Int.J.Th.Phys. 33, 2037 (1994)

40 D.J.Fernandez, J.Phys.A 28, 2693 (1995)


42 E.Drigo-Filho and J.R.Ruggiero,NASAConf.Publ. 3286, eds.D.Han et al., Mary-land (1995), p.45.

43 D.J.Fernandez C,V.HussinandL.M.Nieto,NASA Conf.Publ.3286, eds.D.Hanetal.,Maryland(1995), p.215.

44 R.L.Hall, J.Phys.A 28, 1771 (1995)

45 J.Casahorran, Physica A 217, 429 (1995)

46 B.F.Samsonov, J.Phys.A 28, 6989 (1995)

47 V.G.Bagrov and B.F.Samsonov, Theor.Math.Phys. 104, 1051 (1995)

48 D.J.Fernandez C, J.Negro and M.A.del Olmo, Ann.Phys.252, 386 (1996)

49 N.Aizawa and H-T. Sato, in ”IV Wigner Symposium”, eds.N.M.Atakishiyevetal. World Scientific, Singapore (1996), p.450.

50 W.G.Bagrov, J.Phys.A 29, 1011 (1996)

51 W.G.Bagrov, ZH.EXP.TEO. 109, 1105 (1996)

52 B.F.Samsonov, Phys.Atom N 59, 720 (1996)

53 D.J.Fernandez, J.Negro and M.A,del Olmo, in ”IV Wigner Symposium”, eds.N.M.Atakishiyevet al. WorldScientific,Singapore (1996), p.235

54 D.J.Fernandez, O.Rosas and L.M.Nieto, in ”IV Wigner Symposium”, eds.N.M.Atakishiyevet al. WorldScientific,Singapore (1996), p.413

55 J.O.Rosas O., J.Phys.A 29, 3281 (1996)

56 M.S.Kumar, Phys.Lett.A 217, 73 (1996)

57 H.C.Rosu and J.Socorro, Phys.Lett.A 223, 28 (1996)

58 P.K.Bera, Mod.Phys.Lett.A11, 2129 (1996)

59 J. Casahorran, Rev.Math.Phys. 8, 655 ((1996)

28

60 H.C.Fu, J.Phys.A 29, 4049 (1996)

61 A.Perez-L, Rev.Mex.Fis. 42, 1060 (1996)

62 D.J.Fernandez C, Int.J.Mod.Ph.A 12, 171 (1997)

63 D.J.Fernandez C., in ”Physical Applications and math. aspects of geometrygroups and algebras”, ed.H-D.Doebner, et al, World Scientific, Singapore (1997),p.484

64 D.J.Fernandez and O.Rosas, Phys.Lett.A 236, 275 (1997)

65 G.Junker and P.Roy, Phys.Lett.A 232, 155 (1997)

66 H.C.Rosu, Phys.Rev.E 56, 2269 (1997)

67 V.M.Eleonsky and Korolev, Phys.Rev.A 55, 2580 (1997)

68 N.Aizawa and H-T.Sato, Progr.Theor.Phys. 98, 707 (1997)

69 D.J.Fernandez, Ann.Phys.252, 386 (1997)

70 J.O.Rosas, ”Manipulacion Dinamica y Fact. Generalizada”, Ph.D.Thesis, Mex-ico (1997)

71 E.Drigo Filho and J.R.Ruggiero, Phys.Rev.E 56, 4486 (1997)

72 B.N.Zakhariev, V.M.Chabanov, Inv.Probl. 13, R47 (1997)

73 V.G.Bagrov, B.F.Samsonov, Pramana J.Phys. 49, 563 (1997)

74 D.J.Fernandez, Phys.Lett.A 240, 15 (1998)

75 I.F.Marquez, J.Phys.A 31, 4115 (1998)

76 H.C.Rosu, Phys.Rev.E 57, 4850 (1998)

77 H.C.Rosu, Mod.Phys.Lett.A 13, 227 (1998)

78 H.C.Rosu, Nuov.Cim.B 113, 119 (1998)

79 B.Bagchi, Int.J.Mod.Phys.13, 3711 (1998)

80 O.Rosas Ortiz, J.Phys.A 31, L507 (1998)

81 G.Junker, Ann.Phys. 270, 155 (1998)

82 V.G.Korolev, J.Phys.A 31, 9297 (1998)

83 H.C.Rosu, Nuov.Cim.B 113, 677 (1998)

84 H.C.Rosu, Nuov.Cim.B 113, 683 (1998)

85 O.Rosas-Ortiz, New families of isospectral hydrogen-like potentials, J.Phys. A:Mathematical (1998)

86 J.F.Carinena, Int.J.Mod.Phys. A 13, 4913 (1998)

87 J.Cassahoran, J.Nonlin.Math.Phy. 5, 371 (1998)

88 F. Cannata, G.Junker, P.Roy, Ph.Atom.Nucl. 61, 1736 (1998)

29

89 L.J.Boya, J.Phys.A 31, 8835 (1998)

90 G.Junker, Ann.Phys.(NY) 270, 155 (1998)

91 H.Rosu, Nuov.Cim.B 113, 1431 (1998)

92 G.Junker and P.Roy, ”Supersymmetry, exactly solvable problems, and non-linear algebra”, in ”Proc. of the 5th Wigner Symposium”, World Scientific,Singapore, 1998 (pp.236-238)

93 B.Bagchi, Mod.Phys.Lett.A 14, 27 (1999)

94 H.Rosu, J.Socorro, Nuov.Cim.B 114, 115 (1999)

95 H.Rosu, Nuov.Cim.B 114, 723 (1999)

96 M.Reyes, H.Rosu, Nuov.Cim.B 114, 717 (1999)

97 J.Morales, Int.J.Q.Chem. 71, 465 (1999)

98 V.Milanovic and Z.Ikonovic, J.Phys.A 32 7001 (1999)

99 V.M.Eleonski, J.Math.Phys. 40, 1977 (1999)

100 D.J.Fernandez, V.Hussin, J.Phys.A32,3603 (1999)

101 J.I.Diaz, J.Negro, L.M.Nieto, and O.Rosas- Ortiz, J.Phys.A 32, 8447 (1999)

102 J.Morales and J.J.Pena, J.Mol.Sruc.- Theochem 493, 43 (1999)

103 J.Morales, J.J.Pena, J.Math.Phys.40, 5555 (1999)

104 J.I.Diaz, J.Negro, L.M.Nieto, J.Phys.A, 8447 (1999)

2000:

105 H.C.Rosu, Int.J.Theor.Phys. 39, 105 (2000)

106 H.C.Rosu, Mod.Phys.Lett. A 15, 979 (2000)

107 J.F.Carinena, A.Ramos, Mod.Phys.Lett.A 15, 1079 (2000)

108 J.Morales, J.J.Pena, J.D.Morales-Guzman, Theor.Chem.ACC. 104, 179 (2000)

109 J.Negro, L.M.Nieto, O.Rosas-Ortiz, J.Phys.A 33, 7207 (2000)

110 D.J.Fernandez, J.Negro, L.M.Nieto, Phys.Lett.A 275, 338 (2000)

111 R.Klippert, H.C.Rosu, Nuov.Cim.B 115, 683 (2000)

112 J. Negro, L.M.Nieto, O.Rosas-Ortiz, J.Math.Phys. 41, 7964 (2000)

113 J.Negro, L.M.Nieto, D.J.Fernandez, Czech.J.Phys. 50, 1303 (2000)

114 D.J.Fernandez, H.C.Rosu, Rev.Mex.Fis. 46, 153, Suppl.2 (2000)

115 J.Morales, J.J.Pena, J.L.Lopez-Bonilla, J.Math.Phys.42, 966 (2001)

116 H.C.Rosu, P.B.Espinosa, Phys.Rev.E 6303,7603 (2001)

117 G.Bangerezako, MN.Hounkonnou, J.Phys.A 34, 5653 (2001)

30

118 JF.Carinena, A.Ramos, DJ.Fernandez, Ann.Phys.(N.Y) 292, 42 (2001)

119 DJ.Fernandez, H.Rosu, Phys.Scrip.64, 177 (2001)

120 J.D. Morales-Guzman, Int.J.Quant.Chem. 85, 244 (2001)

121 J.J. Pena et all, Int.J.Quant.Chem. 85, 244 (2001)

122 L. Ke-jia, A generation of exactly solvable anharmonic symmetric oscillators,Chinese Physics (2001)

123 B.K. Bagchi, ”Supersymmetry in Quantum and Classical Mechanics”, ed.Chapman& Hall/CRC, New York, 2002.

124 Klippert, R and Rosu, HC, Strictly isospectral potentials from excited quan-tum states, INTERNATIONALOF THEORETICAL PHYSICS, 2002, 41, 2,331-340.

125 Rosu, HC, Gravitational bouncing of a quantum ball: Room for Airy’s func-tion Bi, PHYSICA SCRIPTA, 2002, 65, 4, 296-299.

126 Rosu, HC and de la Cruz, FA, One-parameter Darboux-transformed quantumactions in thermodynamics, PHYSICA SCRIPTA, 2002, 65, 5, 377-382.

127 R. Rodrigues, The quantum mechanics SUSY algebra: and introductory re-view, ArXiv hep-th/0205017, (2002).

128 G. Bangerezako, The transformations of polynomial eigenfunctions of linearsecond-order q-difference operators: a special case of q-Jacobi polynomials, Pro-ceedings of Sec. (2002)

129 Morales, J and Pena, JJ and Lopez-Bonilla, JL, Solvable rotating poten-tials and their generalizations, OF MOLECULAR STRUCTURE-THEOCHEM,2003, 621, 1-2, 19-26.

130 Rosu, HC and Moran-Mirabal, JM and Cornejo, O, One-parameter nonrel-ativistic supersymmetry for microtubules, PHYSICS LETTERS A, 2003, 310,5-6, 353-356.

131 Mentrup, D and Luban, M, Almost-periodic wave packets and wave packetsof invariant shape, AMERICANOF PHYSICS, 2003, 71, 6, 580-584.

132 Andrianov, AA and Sokolov, AV, Nonlinear supersymmetry in quantum me-chanics: algebraic properties and differential representation, NUCLEAR PHYSICSB, 2003, 660, 1-2, 25-50.

133 Wunsche, A, Duality of two types of SU(1,1) coherent states and an inter-mediate type, OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS,2003, 5, 3, S429-S438.

134 Socorro, J and Reyes, MA and Gelbert, FA, Factorization approach forbarotropic FRW model with a cosmological constant, PHYSICS LETTERS A,2003, 313, 5-6, 338-342.

31

135 Reyes, MA and Jimenez, D and Rosu, HC, One-parameter isospectral specialfunctions, REVISTA MEXICANA DE FISICA, 2003, 49, 4, 358-363.

136 Bangerezako, G and Hounkonnou, MN, The factorization method for thegeneral second-order q-difference equation and the Laguerre-Hahn polynomialson the general q-lattice, OF PHYSICS A-MATHEMATICAL AND GENERAL,2003, 36, 3, 765-773.

137 Song, DY and Klauder, JR, Generalization of the Darboux transformationand generalized harmonic oscillators, OF PHYSICS A-MATHEMATICAL ANDGENERAL, 2003, 36, 32, 8673-8684.

138 Rosas-Ortiz, O, On susy periodicity defects of the Lame potentials, REVISTAMEXICANA DE FISICA, 2003, 49, Suppl. 2, 145-147.

139 Rosu, HC and Cornejo, O and Reyes, M and Jimenez, D, Second-order lin-ear differential equations for effective barotropic FRW cosmologies, INTERNA-TIONALOF THEORETICAL PHYSICS, 2003, 42, 12, 2923-2930.

140 Morales, J and Pena, JJ and Rubio-Ponce, A, New isospectral generalizedpotentials, THEORETICAL CHEMISTRY ACCOUNTS, 2003, 110, 6, 403-409.

141 Gomez-Ullate, D and Kamran, N and Milson, R, The Darboux transforma-tion and algebraic deformations of shape-invariant potentials, OF PHYSICSA-MATHEMATICAL AND GENERAL, 2004, 37, 5, 1789-1804.

142 Blecua, P and Boya, LJ and Segui, A, New solvable quantum-mechanicalpotentials by iteration of the free V=0 potential, NUOVO CIMENTO DELLASOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY AS-TRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2003, 118,6, 535-546.

143 Fernandez, DJ and Negro, J and Nieto, LM, Elementary systems with partialfinite ladder spectra, PHYSICS LETTERS A, 2004, 324, 2-3, 139-144.

144 Gomez-Ullate, D and Kamran, N and Milson, R, Reply to the commenton ‘The Darboux transformation and algebraic deformations of shape-invariantpotentials, OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37, 34,8405-8406.

145 Roy, B and Roychoudhury, R, Second-order intertwining operator and isospec-tral partner of complex PT invariant potential, MODERN PHYSICS LETTERSA, 2004, 19, 30, 2279-2287.

146 Pena, JJ and Morales, J and Zamora-Gallardo, E and Garcia-Ravelo, J,Isospectral orthogonal polynomials from the Darboux transforms, INTERNA-TIONALOF QUANTUM CHEMISTRY, 2004, 100, 6, 957-963.

147 Moniz, PV, N=2 supersymmetric FRW quantum cosmology from a D-p-branegas, OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37, 43, 10445-10458.

32

148 Carballo, JM and Fernandez, DJ and Negro, J and Nieto, LM, PolynomialHeisenberg algebras, OF PHYSICS A-MATHEMATICAL AND GENERAL,2004, 37, 43, 10349-10362.

149 Andrianov, AA and Cannata, F, Nonlinear supersymmetry for spectral designin quantum mechanics, OF PHYSICS A-MATHEMATICAL AND GENERAL,2004, 37, 43, 10297-10321.

150 Gomez-Ullate, D and Kamran, N and Milson, R, Supersymmetry and al-gebraic Darboux transformations, OF PHYSICS A-MATHEMATICAL ANDGENERAL, 2004, 37, 43, 10065-10078.

151 A.A. Adrianov, Nonlinear supersymmetry for spectral design in quantummechanics, Journal of Physics A: Mathematical (2004),

152 Hounkonnou, MN and Sodoga, K and Azatassou, ES, Factorization of Sturm-Liouville operators: solvable potentials and underlying algebraic structure, OFPHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38, 2, 371-390.

153 Bera, PK, Isospectral interactions of the potential V(r)alpha r(2d-2)-betar(d-2), INDIANOF PHYSICS AND PROCEEDINGS OF THE INDIAN AS-SOCIATION FOR THE CULTIVATION OF SCIENCE, 2005, 79, 8, 887-892.

154 Kumar, A and Kumar, CN, Calculation of Franck-Condon factors and r-centroids using isospectral Hamiltonian approach, INDIANOF PURE & AP-PLIED PHYSICS, 2005, 43, 10, 738-742.

155 Kumar, A, Information entropy of isospectral Poschl-Teller potential, INDI-ANOF PURE & APPLIED PHYSICS, 2005, 43, 12, 958-963.

156 Rosu, HC and Reyes, MA and Valencia, F, The three-step master equation:Class of parametric stationary solutions, INTERNATIONALOF THEORETI-CAL PHYSICS, 2005, 44, 9, 1565-1571.

157 Wunsche, A, Higher-order uncertainty relations, OF MODERN OPTICS,2006, 53, 7, 931-968.

158 Morales, J. and Pena, J. J., Supersymmetric quantum mechanics and statis-tical physics: Schrodinger-like thermodynamic equation, PHYSICA SCRIPTA,2006, 74, 1, 71-76.

159 Morales, J. and Pena, J. J. and Ovando, G. and Garcia-Ravelo, J., Isospectralpotentials: Special functions partners and factorization operators, OF MOLEC-ULAR STRUCTURE-THEOCHEM, 2006, 769, 1-3, 9-14.

160 Garcia, A. and Guzman, W. and Sabido, M. and Socorro, J., Iso-spectralpotentials and inflationary quantum cosmology, INTERNATIONALOF THEO-RETICAL PHYSICS, 2006, 45, 12, 2529-2542.

161 M. Trott, The Mathematical guidebook for symbolics, Springer (NY, USA2006), pp 892.

33

162 Rosas-Ortiz, Oscar, Gamow vectors and supersymmetric quantum mechanics,REVISTA MEXICANA DE FISICA, 2007, 53, 2, Suppl. S, 103-109.

163 Fernandez, David J. and Hussin, Veronique and Rosas-Ortiz, Oscar, Co-herent states for Hamiltonians generated by supersymmetry, OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40, 24, 6491-6511.

164 Andrianov, A. A. and Cannata, F. and Sokolov, A. V., Non-linear supersym-metry for non-hermitian, non-diagonalizable Hamiltonians: I. General proper-ties, NUCLEAR PHYSICS B, 2007, 773, 3, 107-136.

165 A.A. Adrianov, Factorization of nonlinear supersymmetry in one-dimensionalquantum mechanics I: General classification of reducibility and analysis of thethird order algebra, Journal of Mathematical Sciences (2007) Springer.

166 Hu, Ming-Guang and Chen, Jing-Ling, Quantum dynamical algebra SU(1,1)in one-dimensional exactly solvable potentials, INTERNATIONALOF THEO-RETICAL PHYSICS, 2007, 46, 8, 2119-2137.

167 Yahiaoui, S. -A. and Hattou, S. and Bentaiba, M., Generalized Morse andPoschl-Teller potentials: The connection via Schrodinger equation, ANNALSOF PHYSICS, 2007, 322, 11, 2733-2744.

168 Abdusalam, H. A. and Fahmy, E. S., TRAVELING WAVE SOLUTIONSFOR NONLINEAR WAVE EQUATION WITH DISSIPATION AND NON-LINEAR TRANSPORT TERM THROUGH FACTORIZATIONS, INTERNA-TIONALOF COMPUTATIONAL METHODS, 2007, 4, 4, 645-651.

169 Gonzalez Leon, M. A. and Mateos Guilarte, J. and De la Torre Mayado, M.,Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers ofForce, SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS ANDAPPLICATIONS, 2007, 3.

170 Bera, P. K. and Datta, J. and Panja, M. M. and Sil, Tapas, Generalization ofquasi-exactly solvable and isospectral potentials, PRAMANA- OF PHYSICS,2007, 69, 3, 337-367.

171 S.H. Dong, Factorization Method in Quantum Mechanics (2007).

172 Martinez, D. and Mota, R. D., SUSY QM, symmetries and spectrum gener-ating algebras for two-dimensional systems, ANNALS OF PHYSICS, 2008, 323,4, 1024-1035.

173 Reyes, M. A. and Rosu, H. C., Riccati-parameter solutions of nonlinearsecond-order ODEs, OF PHYSICS A-MATHEMATICAL AND THEORETI-CAL, 2008, 41, 28.

174 Fahmy, E. S., Travelling wave solutions for some time-delayed equationsthrough factorizations, CHAOS SOLITONS & FRACTALS, 2008, 38, 4, 1209-1216.

34

175 Barbosa-Cendejas, N. and Reyes, M. A., Stationary oscillations in a dampedwave equation from isospectral Bessel functions, REVISTA MEXICANA DEFISICA, 2008, 54, 4, 319-321.

176 Carinena, Jose F. and Ramos, Arturo, GENERALIZED BACKLUND-DARBOUXTRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS,INTERNATIONALOF GEOMETRIC METHODS IN MODERN PHYSICS,2008, 5, 4, 605-640.

177 Contreras-Astorga, Alonso and Fernandez C, David J., Supersymmetric part-ners of the trigonometric Poschl-Teller potentials, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 47.

178 Andrianov, Alexander A. and Sokolov, Andrey V., Hidden Symmetry fromSupersymmetry in One-Dimensional Quantum Mechanics, SYMMETRY INTE-GRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5.

179 Abdusalam, H. A. and Fahmy, E. S., Exact solution for the generalized Tele-graph Fisher’s equation, CHAOS SOLITONS & FRACTALS, 2009, 41, 3, 1550-1556.

180 Bagchi, B. and Quesne, C. and Roychoudhury, R., Isospectrality of conven-tional and new extended potentials, second-order supersymmetry and role ofPT symmetry, PRAMANA- OF PHYSICS, 2009, 73, 2, Sp. Iss. SI, 337-347.

181 Bagchi, Bijan and Tanaka, Toshiaki, Existence of different intermediate Hamil-tonians in type A N-fold supersymmetry, ANNALS OF PHYSICS, 2009, 324,11, 2438-2451.

182 Quesne, Christiane, Solvable Rational Potentials and Exceptional OrthogonalPolynomials in Supersymmetric Quantum Mechanics, SYMMETRY INTEGRA-BILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5.

183 Ozis, Turgut and Agirseven, Deniz, HE’S HOMOTOPY PERTURBATIONMETHOD FOR A GENERAL RICCATI EQUATION, INTERNATIONALOFMODERN PHYSICS B, 2009, 23, 30, 5683-5693.

2010:

184 Polotto, F. and Araujo, M. T. and Drigo Filho, E., Solutions of the Fokker-Planck equation for a Morse isospectral potential, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2010, 43, 1.

185 Marquette, Ian, Supersymmetry as a method of obtaining new superinte-grable systems with higher order integrals of motion, OF MATHEMATICALPHYSICS, 2009, 50, 12.

186 Kouri, Donald J. and Markovich, Thomas and Maxwell, Nicholas and Bittner,Eric R., Supersymmetric Quantum Mechanics, Excited State Energies and Wave

35

Functions, and the Rayleigh-Ritz Variational Principle: A Proof of PrincipleStudy, OF PHYSICAL CHEMISTRY A, 2009, 113, 52, 15257-15264.

189 Samsonov, Boris F. , SUSY transformations with complex factorization con-stants: application to spectral singularities, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2010, 43, 40.

190 Midya, Bikashkali and Roy, B. and Roychoudhury, R., Position dependentmass Schrodinger equation and isospectral potentials: Intertwining operatorapproach, OF MATHEMATICAL PHYSICS, 2010, 51, 2.

191 Daoud, M. and Kibler, M. R., Phase operators, temporally stable phasestates, mutually unbiased bases and exactly solvable quantum systems, OFPHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43, 11.

192 Sasaki, Ryu and Tsujimoto, Satoshi and Zhedanov, Alexei, Exceptional La-guerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations, OF PHYSICS A-MATHEMATICAL AND THEORET-ICAL, 2010, 43, 31.

193 Garcia-Gutierrez, Leonor and Odake, Satoru and Sasaki, Ryu, Modificationof Crum’s Theorem for ‘Discrete’ Quantum Mechanics, PROGRESS OF THE-ORETICAL PHYSICS, 2010, 124, 1, 1-26.

194 Berger, Micheal S. and Ussembayev, Nail S., Second-order supersymmetricoperators and excited states, OF PHYSICS A-MATHEMATICAL AND THE-ORETICAL, 2010, 43, 38.

195 Berger, Micheal S. and Ussembayev, Nail S., Isospectral potentials from mod-ified factorization, PHYSICAL REVIEW A, 2010, 82, 2.

196 Fernandez C, David J. and Gadella, Manuel and Miguel Nieto, Luis , Super-symmetry Transformations for Delta Potentials, SYMMETRY INTEGRABIL-ITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, 7.

197 Alejandro Sanchez, Pablo and Martin Romero, Jesus and Bellini, Mauri-cio , Analytical treatment of SUSY Quasi-normal modes in a non-rotatingSchwarzschild black hole, EUROPEAN PHYSICAL C, 2011, 71.

198 Berezovoj, Victor P. and Ivashkevych, Glib I. and Konchatnij, Mikhail I.,Multi-Well Potentials in Quantum Mechanics and Stochastic Processes, SYM-METRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICA-TIONS, 2010, 6.

199 Alka, W. and Goyal, Amit and Kumar, C. Nagaraja, Nonlinear dynamicsof DNA - Riccati generalized solitary wave solutions, PHYSICS LETTERS A,2011, 375, 3.

200 Cotfas, Nicolae and Cotfas, Liviu Adrian , Hypergeometric type operatorsand their supersymmetric partners, OF MATHEMATICAL PHYSICS, 2011,52, 5.

36

201 Dutta, D. and Roy, P. , Generalized factorization and isospectral potentials,PHYSICAL REVIEW A, 2011, 83, 5.

202 Castro, Paulo G. and Chakraborty, Biswajit and Kuznetsova, Zhanna andToppan, Francesco , Twist deformations of the supersymmetric quantum me-chanics, CENTRAL EUROPEAN OF PHYSICS, 2011, 9, 3, 841-851.

203 Jana, T. K. and Roy, P. , Supersymmetry in option pricing, PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390, 12, 2350-2355.

204 Gianfreda, M. and Landolfi, G. , Wave packets and statistics concerned withSUSY-QM partners of Paul trap Hamiltonians, THEORETICAL AND MATH-EMATICAL PHYSICS, 2011, 168, 1, 924-938.

205 Bermudez, David and Fernandez C, David J. , Non-hermitian Hamiltoniansand the Painleve IV equation with real parameters, PHYSICS LETTERS A,2011, 375, 33, 2974-2978.

206 Midya, Bikashkali , Nonsingular potentials from excited state factorization ofa quantum system with position-dependent mass, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 43.

207 Marquette, Ian , Classical ladder operators, polynomial Poisson algebras,and classification of superintegrable systems, OF MATHEMATICAL PHYSICS,2012, 53, 1.

208 Maya-Mendieta, M. and Oliveros-Oliveros, J. and Teniza-Tetlalmatzi, E. andVargas-Ubera, J. , Hermitian operators and boundary conditions, REVISTAMEXICANA DE FISICA, 2012, 58, 1, 94-103.

37

22 B. Mielnik, Phenomenon of Mobility in Non-linear Theories, Commun. Math.Phys. 101, 323 (1985).

1 D.Gatarek, J.Math.Phys. 32, 2152 (1991)

2 M.Czahor, Found.Phys.Lett. 4, 351 (1991)

3 N.Gisin, Phys.Lett.A155, 445 (1991)

4 N.Gisin, Am.J.Phys, 61, 86 (1993)

5 Th.M.Rassias, J.Nat.Geom. 3, 1 (1993)

6 D.Makowiec, Phys.Lett A207, 37 (1995)

7 E.G.Beltrametti, Phys.Lett.A 207, 37 (1995)

8 D.J.Fernandez, O.Rosas-Ortiz, Phys.Lett.A, 236, 275 (1997)

9 M.Czachor, Acta.Phys.Slov 48, 157 (1998)


11 R.Cirelli, M.Gatti, A.Mania, J.Geom.Phys. 29, 64 (1999)

12 T.M.Rassias, J.Math.Anal.Appl. 235, 108 (1999)

2000:

13 P.Pesic, Found.Phys.Lett. 13, 55 (2000)


15 E.G.Beltrametti, S.Bugajski, V.S.Varadarajan, J.Math.Phys. 41, 2500 (2000)


17 D.C.Brody, L.P.Hughston, J.Geom.Ph.38,19 (2001)

18 T.M.Rassias, Nonlin Anal-Theor.47, 2597 (2001)

2010:

19 D.C Brody, A.C.T Gustavsson, L.P. Hughston, J.Math. 43, 8 (2010).

19 D.C Brody, A.C.T Gustavsson, L.P. Hughston, J.Math. 43, 8 (2010).

20 Molladavoudi, S. and Zainuddin, H. and Chan, K.T., Jensen-Shannon divergenceand non-linear quantum dynamics, Physics Letters, Section A: General, Atomicand Solid State Physics, 2012, 376, 26-27, 1955-1961.

21 Bertini, C. and Leporini, R., Logics from quantum computation with boundedadditive operators, International Journal of Quantum Information, 2012, 10, 3.

38

23 B. Mielnik, Combinatorial Dynamics,in ”Proceedings of 14 ICG TMP”, ed. Y.M.Cho,World Scientific, Seoul, Korea, 1985, pp. 265-267.

1 D.J.Fernandez, N.Cim. B107, 885 (1992)

25 B. Mielnik, Evolution Loops,J.Math. Phys. 27, 2290 (1986).

1 J.Plebanski, J.Math.Phys. 30, 993 (1989)

2 D.Sanjines C., Rev.Mex.Fis.36, 181 (1990)

3 D.J.Fernandez, Acta.Phys.Polon. B21, 589 (1990)

4 D.J.Fernandez, J.Phys.A 25, 6409 (1992)

5 D.J.Fernandez, Europh.Lett. 21, 147 (1993)

6 D.Fernandez, Int.J.Theor.Phys. 33, 2037 (1994)


8 O.V.Man’ko,NasaConf.Publ.3322,ed.D.Han et al. Maryland (1996), p.235.

9 J.O.Rosas, ”Manipulacion Dinamica y Factorizacion Generalizada”, Ph.D.Thesis,Mexico (1997)

10 L.J. Boya, Nuov.Cim.B 113, 409 (1998)

2000:

11 A.Emmanouilidou, XG.Zhao, PRL 85, 1626 (2000)

12 Bender, CM and Brody, DC and Meister, BK, Entropy and temperature ofa quantum Carnot engine, PROCEEDINGS OF THE ROYAL SOCIETY OFLONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERINGSCIENCES, 2002, 458, 2022, 1519-1526.

13 Ortega, R and Santander, M, Trigonometry of ‘complex Hermitian’-type ho-mogeneous symmetric spaces, JOURNAL OF PHYSICS A-MATHEMATICALAND GENERAL, 2002, 35, 37, 7877-7917.

14 Vertesi, T. and Englman, R., Discrimination between evolution operators,PHYSICAL REVIEW A, 2007, 76, 4.

2010:

39

15 Delgado, F., Entanglement and control operations in Heisenberg 3-D interac-tions of two qubits, REVISTA MEXICANA DE FISICA, 2010, 56, 1, 30-39.

16 Waldherr, G. and Mahler, G., Emergence of irreversibility in embedded quan-tum systems, EPL, 2010, 89, 4.

17 Delgado, Francisco, Quantum control on entangled bipartite qubits, PHYSI-CAL REVIEW A, 2010, 81, 4.

18 Delgado, Francisco, MEASUREMENT IN CONTROL AND DISCRIMINA-TION OF ENTANGLED PAIRS UNDER SELF-DISTORTION, INTERNA-TIONAL JOURNAL OF QUANTUM INFORMATION, 2011, 9, 1, 165-179.DOI: 10.1142/S0219749911007186.

26 B. Mielnik, D.J. Fernandez, Electron Trapped in a Rotating Magnetic Field.J. Math. Phys. 30, 527 (1989).

1 Tkachuk VM, Vakarchuk SI, JOURNAL OF PHYSICS A-MATHEMATICALAND GENERAL, (34), 3, 653-662 (2001).

2 Lin QG, Anisotropic harmonic oscillator in a static electromagnetic field, COM-MUNICATIONS IN THEORETICAL PHYSICS (38), 6, 667-674 (2002).

28 D. Fernandez, B. Mielnik, Nodal Resonance In Strong Standing Wave, Phys.Rev. A41, 5788 (1990).

1 M.Garrauby and S.Stenholm, Phys.Rev.A45 364 (1992)

2 Na, Y. C. Neil and Yamamoto, Yoshihisa, Time-domain simulation of Schrodingerequation to determine the effective potential induced by an oscillating standingwave, JOURNAL OF APPLIED PHYSICS, 100 (2006), 4.

29 B. Mielnik, The Paradox of Two Bottles in Quantum Mechanics, (invited arti-cle) Found. Phys. 20,745 (1990).

1 J.Finkelstein, Found.Phys.Lett. 5, 383 (1992)

2 T.Durt, Helv.Phys.Acta 72, 356 (1999)

40

30 B. Mielnik, Is the Reduction of the Wave Packet Indeed Neccessaryin QuantumMechanics?, in ”Problems in Quantum Physics: Gdansk (1989).

1 E. Santos, Found.Phys. 21, 221 (1991)

41

33 B. Mielnik, T. M Rassias, On the Alexandrov problem of conservative distance,Proc. Am. Math. Soc. 116, 1115 (1992).

1 U.Everling, Proc.Am.Math.Soc. 123, 2855 (1995)

2000:

2 Y.M.Ma, Acta Math.Sci. 20, 359 (2000)

3 S.H.Xiang, J.Math.Anal.Appl. 254, 262 (2001)

4 G.G.Ding, Taiwan J.Math. 5, 109 (2001)

5 Chu, HY and Lee, KH and Park, CG, On the Aleksandrov problem in linearn-normed spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLI-CATIONS, 2004, 59, 7, 1001-1011.

6 Jung, Soon-Mo, A characterization of isometries on an open convex set, BUL-LETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2006, 37, 3, 351-359.

7 Liu, Rui, On extension of isometries between unit spheres of L-infinity (Gamma)-type space and a Banach space E, JOURNAL OF MATHEMATICAL ANAL-YSIS AND APPLICATIONS, 2007, 333, 2, 959-970.

8 Tan, Liyun and Xiang, Shuhuang, ON THE ALEKSANDROV-RASSIAS PROB-LEM AND THE HYERS-ULAM-RASSIAS STABILITY PROBLEM, BANACHJOURNAL OF MATHEMATICAL ANALYSIS, 2007, 1, 1, 11-22.

9 Enflo, Per and Moslehian, Mohammad Sal, AN INTERVIEW WITH THEMIS-TOCLES M. RASSIAS, BANACH JOURNAL OF MATHEMATICAL ANAL-YSIS, 2007, 1, 2, 252-260.

10 Chu, Hahng-Yun and Ku, Se-Hyun and Kang, Dong Seung, Characterizationson 2-isometries, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLI-CATIONS, 2008, 340, 1, 621-628.

11 Chu, Hahng-Yun and Choi, Sung Kyu and Kang, Dong Seung, Mappings ofconservative distances in linear n-normed spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70, 3, 1168-1174.

12 Gao Jinmei, On the Alexandrov problem of distance preserving mapping,JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009,352, 2, 583-590.

13 Jung, Soon-Mo, A characterization of isometries on an open convex set, II,BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2009, 40, 1,77-84.

42

2010:

14 Chen, Xiao Yun and Song, Mei Mei, Characterizations on isometries in linearn-normed spaces, NONLINEAR ANALYSIS-THEORY METHODS & APPLI-CATIONS, 2010, 72, 3-4, 1895-1901.

15 Choy, Jaeyoo and Chu, Hahng-Yun and Ku, Se-Hyun, Characterizations onMazur-Ulam theorem, NONLINEAR ANALYSIS-THEORY METHODS & AP-PLICATIONS, 2010, 72, 3-4, 1291-1297.

16 Kubzdela, Albert, Isometries, Mazur-Ulam theorem and Aleksandrov prob-lem for non-Archimedean normed spaces, NONLINEAR ANALYSIS-THEORYMETHODS & APPLICATIONS, 2012, 75, 4, 2060–2068. DOI: 10.1016/j.na.2011.10.006.

36 D. Fernandez, B. Mielnik, Controlling Quantum Motion, J.Math.Phys. 35,2083 (1994).

1 O.V.Man’ko, Nuov.Cim.111B, 1111 (1996)

2 O.V.Man’ko, NasaConf.Publ.3322,ed.D.Han et al. Maryland (1996), p.235

2000:

3 Ramakrishna, V and Ober, RJ and Flores, KL and Rabitz, H, Control of acoupled two-spin system without hard pulses, PHYSICAL REVIEW A, 2002,65, 6.

4 Schmidt, AGM and da Luz, MGE, Wave-packet dynamics for general contactinteractions on a circular setup: Revivals, bouncing, and trapping, PHYSICALREVIEW A, 2004, 69, 5.

5 Vertesi, T. and Englman, R., Discrimination between evolution operators, PHYS-ICAL REVIEW A, 2007, 76, 4.

6 Schmidt, Alexandre G. M. and Martins, Bruno N., CONTROL OF QUANTUMROTOR WITH SPIN-1/2, MODERN PHYSICS LETTERS B, 2012, 26, 4.DOI: 10.1142/S0217984911500217.

7 Schmidt, A.G.M. and Martins, B.N., Control of quantum rotor with spin-1/2,Modern Physics Letters B, 2012, 26, 4.

37 B. Mielnik, The Screen Problem, Found. Phys.24, 1113 (1994).

1 N.Grot, C.Rovelli and R.S.Tate, Phys.Rev.A 54, 4676 (1996)

43

2 Ph.Blanchard and A.Jadczyk, Helv.Phys.Acta 69, 613 (1996)

3 V.Delgado and J.G.Muga, Phys.Rev.A 56, 3425 (1997)

4 A.Jadczyk and G.Kondrat, J.Phys.A 30, 1863 (1997)

5 J.G.Muga, Superlatt.M. 23, 833 (1998)

6 C.R.Leavens, Superlatt.M. 23, 795 (1998)

7 C.R.Leavens, Phys.Rev.A 58, 840 (1998)

8 J.G.Muga, R.Sala and J.P.Palao, ”The time of arrival concept in quantum me-chanics”, Superlatt.Microsyst.24, No.4 (1998)

9 V.Delgado, Phys.Rev.A 59, 1010 (1999)

10 J.Oppenheim, B.Reznik and W.G.Unruh, in ’Quantum Future’, eds. Ph.Blanchard,A.Jadczyk, Springer Verlag, Berlin (1999), p. 204.

11 J.Finkelstein, Phys.Rev.A 59, 3218 (1999)

12 P.Kochanski, K.Wodkiewicz, Phys.Rev.A 60, 2689 (1999)

13 T.Durt, Helv.Phys.Acta 72, 356 (1999)

2000:

14 J.G.Muga, C.R.Leavens, Phys.Rep.338, 354 (2000)

15 Skulimowski, M, Construction of time covariant POV measures, PHYSICSLETTERS A, 2002, 297, 3-4.

16 Leavens, CR, On the ”standard” quantum mechanical approach to times ofarrival, PHYSICS LETTERS A, 2002, 303, 2-3, 154-165.

17 Egusquiza, IL and Muga, JG and Navarro, B and Ruschhaupt, A, Comment on:”On the standard quantum-mechanical approach to times of arrival”, PHYSICSLETTERS A, 2003, 313, 5-6, 498-501.

18 Hahne, GE, Time as an observable in nonrelativistic quantum mechanics, OFPHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36, 25, 7149-7172.

19 Hegerfeldt, GC and Seidel, D and Muga, JG, Quantum arrival times and op-erator normalization, PHYSICAL REVIEW A, 2003, 68, 2.

20 Kouznetsov, D and Oberst, H, Reflection of waves from a ridged surface andthe Zeno effect, OPTICAL REVIEW, 2005, 12, 5, 363-366.

21 Jadczyk, Arkadiusz, Quantum fractals. Geometric modeling of quantum jumpswith conformal maps, ADVANCES IN APPLIED CLIFFORD ALGEBRAS,2008, 18.

22 Hahne, G. E., Quantum dwell-correlation times in the scattering of two non-relativistic particles, PHYSICAL REVIEW A, 2009, 80, 6.

44

2010:

23 Mackrory, Jonathan B. and Jacobs, Kurt and Steck, Daniel A., Reflection ofa particle from a quantum measurement, NEWOF PHYSICS, 2010, 12.

38 B. Mielnik, Marco A. Reyes, Classical Trajectories and QuantumSpectra,NASA Conf.Publ. 3322, (1996), pp. 123-131.


2 Hawkins, RM and Lidsey, JE, Ermakov-Pinney equation in scalar field cosmolo-gies, PHYSICAL REVIEW D, 2002, 66, 2.

3 Kryachko, ES, Notes on the Riccati equation, COLLECTION OF CZECHOSLO-VAK CHEMICAL COMMUNICATIONS, 2005, 70, 7, 941-950.

4 Zakhar’ev, BN and Chabanov, VM, New results concerning the behavior ofwaves in transparent, periodic, and multichannel structures, PHYSICS OFPARTICLES AND NUCLEI, 2005, 36, 6, 779-799.

5 Khmelnytskaya, Kira V. and Kravchenko, Vladislav V., On a complex differen-tial Riccati equation, OF PHYSICS A-MATHEMATICAL AND THEORETI-CAL, 2008, 41, 8.

40 B. Mielnik, M.A. Reyes, The classical Schrodinger’s equation, J.Phys.A 29,6009 (1996).

1 J.A.Ketoja, Physica D 109, 70 (1997)

2 B.N.Zakharev and V.M.Chabanov, Phys.Part.Nucl. 30, 111 (1999)

3 H.Rosu, J.L.Romero, Nuov.Cim.B, 114, 569 (1999)

2000:

4 B.N.Zakharev and V.M.Chabanov, Few-Body Syst.30 143 (2001)

5 Khmelnytskaya, Kira V. and Kravchenko, Vladislav V., On a complex differ-ential Riccati equation, JOURNAL OF PHYSICS A-MATHEMATICAL ANDTHEORETICAL, 2008, 41, 8. DOI: 10.1088/1751-8113/41/8/085205.

45

41* B. Mielnik, Comments on: ”Weinberg’s Nonlinear Quantum Mechanics andEinstein-Podolsky-Rosen paradox”, by Joseph Polchinski, arXiv: quant-ph/0012041v3

1 C. Simon, V. Buzek, N. Gisin, No-Signaling Condition and Quantum Dynamics,Phys. Rev. Letters (2001) 87, 17.

2 S. Gheorghiu-Svirschevski, Inferring linear quantum dynamics without no-signaling,(2003) arXiv: quant-ph/0311042v1

3 M. Ferrero, D. Salgado, J.L. Sanchez-Gomez, Nonlinear quantum evolution doesnot imply supraluminal communication, Phys. Rev. A (2004) 70, 014101.

4 Aditi Sen, Ujjwal Sen, Testing Quantum dynamics using signaling, Phys. Rev.A (2005) 72, 014304.

5 V. Jejjala, M. Kavic, D. Minic, Time and M-Theory, (2007) arXiv: 0706.2252v3.

6 G. Svetlichny, Informal Resource Letter - Nonlinear quantum mechanics onarXiv up to August 2004, (2008) arXiv: quant-ph/0410036v7

42 F. Delgado, B. Mielnik, Magnetic control of squeezing effects, J.Phys.A 31,309 (1998).

1 V.V.Dodonov, J.Opt.B 4, R1-R33 (2002)

2 Ramakrishna, V and Ober, RJ and Flores, KL and Rabitz, H, Control of acoupled two-spin system without hard pulses, Phys. Rev. A 65, 6 (2002).

3 Dodonov, VV and Andreata, MA, Shrinking quantum packets in one dimension,Phys. Lett. A 310, 2-3, 101-109 (2003).

4 Schmidt, Alexandre G. M., Squeezing a wave packet with an angular-dependentmass, J. Phys. A-Math. Theo. 42, 24, (2009).

43 F. Delgado, B. Mielnik and M.A. Reyes, Squeezed States and HelmholtzSpectra, Phys.Lett.A 237, 359 (1998).

1 Cordero-Soto, Ricardo and Suazo, Erwin and Suslov, Sergei K., Quantum integralsof motion for variable quadratic Hamiltonians, ANNALS OF PHYSICS, 2010,325, 9, 1884-1912.

2 Guo, Guang-Jie and Ren, Zhong-Zhou and Ju, Guo-Xing and Guo, Xiao-Yong,Quantum tunneling effect of a time-dependent inverted harmonic oscillator, OFPHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44, 18.

46

3 Unal, Nuri, Quasi-coherent states for harmonic oscillator with time-dependent pa-rameters, OF MATHEMATICAL PHYSICS, 2012, 53, 1.

4 Guo, G.-J. and Ren, Z.-Z. and Ju, G.-X. and Guo, X.-Y., Quantum tunnelingeffect of a time-dependent inverted harmonic oscillator, Journal of Physics A:Mathematical and Theoretical, 2011, 44, 18.

47

44 D.J. Fernandez, V. Hussin and B. Mielnik, A simple generation of exactlysolvable anharmonic oscillators, Phys.Lett.A 244, 309 (1998).

1 O.Rosas O., J.Phys.A 31, L507 (1998)

2 O.Rosas O., J.Phys.A 31, 10163 (1998)

3 T.V.Kuley and V.M.Tkachuk, J.Phys. A 32, 2157 (1999)

4 H.C.Rosu, Nuov.Cim. 114B, 723 (1999)

5 A.Ramos and J.F.Carinena, in ’Symmetries in quantum mechanics and quantumoptics’, Univ.de Burgos, Burgos (1999), p.259.

6 J.O.Rosas-Ortiz, in ’Symmetries in quantum mechanics and quantum optics’,Univ.de Burgos, Burgos (1999), p.285.

7 H.C. Rosu, in ’Symmetries in quantum mechanics and quantum optics’, Univ.deBurgos, Burgos (1999), p.301.

8 V.Milanovic and Z.Ikonovic, J.Phys.A 32 7001 (1999)

9 J.I.Diaz, J.Negro, L.M.Nieto, and O.Rosas- Ortiz, J.Phys.A 32, 8447 (1999)

10 B.F.Samsonov, Phys.Lett.A 263, 274 (1999)

2000:

11 A.Andrianov, F.Cannata, M.Ioffe and D.Nishiniadze, Phys.Lett.A 266, 341(2000)

12 H.C.Rosu, Int.J.Theor.Phys.39, 105 (2000)

13 J.F.Carinena, A.Ramos, Mod.Phys.Lett.A 15, 1079 (2000)

14 J.Negro, L.M.Nieto, O.Rosas O., in Proc. VI-th ICSSUR, NASA/CP-2000-209899, p.226

15 S.K.Bose, A.Schulze-Halberg, Mod.Phys.Lett. A 15, 1583 (2000)

16 J.Negro, L.M.Nieto, O.Rosas-Ortiz, J.Math.Phys. 41, 7964 (2000)

17 H.Rosu, Int.J.Theor.Phys. 39, 2191 (2000)

18 J.Morales, J.J.Pena, J.L.Lopez-Bonilla, J.Math.Phys. 42, 966 (2001)

19 K.J.Liu, Chin.Phys. 10, 277 (2001)

20 J.L.Chen et al, J.Phys.A 34, 8889 (2001)

21 Klippert, R and Rosu, HC, Strictly isospectral potentials from excited quantumstates, Int. J. Theo. Phys., 2002, 41, 2, 331-340.

48

22 Andrianov, AA and Sokolov, AV, Nonlinear supersymmetry in quantum me-chanics: algebraic properties and differential representation, NUCLEAR PHYSICSB, 2003, 660, 1-2, 25-50.

23 Nieto, LM and Pecheritsin, AA and Samsonov, BF, Intertwining technique forthe one-dimensional stationary Dirac equation, ANNALS OF PHYSICS, 2003,305, 2, 151-189.

24 Rosas-Ortiz, O and Munoz, R, Non-hermitian SUSY hydrogen-like Hamiltoni-ans with real spectra, J. Phys. A. Math. Gen., 2003, 36, 31, 8497-8506.

25 Rosas-Ortiz, O, On susy periodicity defects of the Lame potentials, REVISTAMEXICANA DE FISICA, 2003, 49, Suppl. 2, 145-147.

26 Roy, B and Roychoudhury, R, Second-order intertwining operator and isospec-tral partner of complex PT invariant potential, J. Mod. Phys. Lett. A., 2004,19, 30, 2279-2287.

27 Pena, JJ and Morales, J and Zamora-Gallardo, E and Garcia-Ravelo, J, Isospec-tral orthogonal polynomials from the Darboux transforms, Int. J. QuantumChemistry, 2004, 100, 6, 957-963.

28 Andrianov, AA and Cannata, F, Nonlinear supersymmetry for spectral designin quantum mechanics, J.Phys. A. Math. Gen., 2004, 37, 43, 10297-10321.

29 Morales, J. and Pena, J. J., Supersymmetric quantum mechanics and statisticalphysics: Schrodinger-like thermodynamic equation, PHYSICA SCRIPTA, 2006,74, 1, 71-76.

30 Morales, J. and Pena, J. J. and Ovando, G. and Garcia-Ravelo, J., Isospectralpotentials: Special functions partners and factorization operators, J. MolecularStructure-Theochem, 2006, 769, 1-3, 9-14.

31 Carinena, Jose F. and Ranada, Manuel F. and Santander, Mariano, A quantumexactly solvable non-linear oscillator with quasi-harmonic behaviour, ANNALSOF PHYSICS, 2007, 322, 2, 434-459.

32 Andrianov, A. A. and Cannata, F. and Sokolov, A. V., Non-linear supersymme-try for non-hermitian, non-diagonalizable Hamiltonians: I. General properties,J. NUCLEAR PHYSICS B, 2007, 773, 3, 107-136.

33 Fernandez-Garcia, Nicolas and Rosas-Ortiz, Oscar, Gamow-Siegert functionsand Darboux-deformed short range potentials, ANNALS OF PHYSICS, 2008,323, 6, 1397-1414.

34 Pena, J. J. and Ovando, G. and Morales, J. and Garcia-Ravelo, J. and Garcia,J., Exactly solvable quantum potentials with special functions solutions, Int. J.Quantum Chemistry, 2008, 108, 10, 1750-1757.

49

35 Carinena, Jose F. and Ramos, Arturo, GENERALIZED BACKLUND-DARBOUXTRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS,Int. Geometric Methods Mod. Phys., 2008, 5, 4, 605-640.

36 Contreras-Astorga, Alonso and Fernandez C, David J., Supersymmetric part-ners of the trigonometric Poschl-Teller potentials, J. Phys. A. Math. Theo.,2008, 41, 47.

2010:

37 Grandati, Y. and Berard, A., Rational solutions for the Riccati-Schrodingerequations associated to translationally shape invariant potentials, ANNALS OFPHYSICS, 2010, 325, 6, 1235-1259.

38 Mukherjee, Neetik and Pathak, Ranjit K. and Bhattacharyya, Kamal, Near-Exact Supersymmetric Partner Potentials: Construction and Exploitation, IN-TERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2011, 111, 14,3597–3607. DOI: 10.1002/qua.22925.

39 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum mechan-ics: Concepts and realizations, Journal of Physics A: Mathematical and Theo-retical, 2012, 45, 50.

40 Grandati, Y., Multistep DBT and regular rational extensions of the isotonic os-cillator, Annals of Physics, 2012, 327, 10, 2411-2431.

41 Patra, P. and Dutta, A. and Saha, J.P., SUSY formalism for the symmetric doublewell potential, Pramana - Journal of Physics, 2013, 80, 1, 21-30.

42 Mukherjee, N., A simple and effective technique to variationally interpret thestructure of SUSY partners of mirror image potentials, Journal of MathematicalChemistry, 2013, 51, 3, 954-975.

49 B. Mielnik, L. M. Nieto, O. Rosas-Ortiz, Finite difference algorithm forhigher order supersymmetry, Phys.Lett.A 269, 70 (2000).

1 D.J. Fernandez, V.Hussin, J.Phys.A 32, 3603 (1999) (preprint citado)

2000:

2 J.F. Carinena, A.Ramos, D.F.Fernandez, Ann.Phys (NY) 292, 42 (2001)

3 D.J. Fernandez, H.Rosu, Phys.Scr. 64, 177 (2001)

4 J.J. Pena et al., Int.J.Quant.Chem.85, 244 (2001)

5 A. Odzijewicz, A.Ryzko, J.Phys.A 35, 747 (2002)

50

6 A. Ramos, PhD. Thesis, Facultad de Ciencias, Departamento de Fısica Teorica,Universidad de Zaragoza, (Espana 2002).

7 Fakhri, H and Sobhanian, S and Zahed, H, KdV conservation laws for somesupersymmetric potentials, NEW OF PHYSICS, 2002, 4.

8 Cotfas, N, Shape invariance, raising and lowering operators in hypergeometrictype equations, OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002,35, 44, 9355-9365.

9 A. Dobrogowska, PhD. Thesis, Instytut Fizyki Teoretycznej, Uniwersytet WBialymstoku, Bialystok (Poland 2003).

10 J. Bagger, S. Duplij and W. Siegel (Eds.), Concise Encyclopedia of Supersym-metry and Noncommutative Structures in Mathematics and Physics, KluwerAcademic Publishers, Dordrecht (2003). Higher-Order Supersymmetry? pp.186-188.

11 Morales, J and Pena, JJ and Lopez-Bonilla, JL, Solvable rotating poten-tials and their generalizations, OF MOLECULAR STRUCTURE-THEOCHEM,2003, 621, 1-2, 19-26.

12 Fernandez, DJ and Munoz, R and Ramos, A, Second order SUSY transforma-tions with ‘complex energies’, PHYSICS LETTERS A, 2003, 308, 1, 11-16.

13 Fernandez, DJ and Salinas-Hernandez, E, The confluent algorithm in second-order supersymmetric quantum mechanics, OF PHYSICS A-MATHEMATICALAND GENERAL, 2003, 36, 10, 2537-2543.

14 Morales, J and Pena, JJ and Rubio-Ponce, A, New isospectral generalizedpotentials, THEORETICAL CHEMISTRY ACCOUNTS, 2003, 110, 6, 403-409.

15 Plyushchay, M, Nonlinear supersymmetry: from classical to quantum mechan-ics, OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37, 43, 10375-10384.

16 Andrianov, AA and Cannata, F, Nonlinear supersymmetry for spectral designin quantum mechanics, OF PHYSICS A-MATHEMATICAL AND GENERAL,2004, 37, 43, 10297-10321.

17 Fernandez, DJ and Salinas-Hernandez, E, Wronskian formula for confluentsecond-order supersymmetric quantum mechanics, PHYSICS LETTERS A, 2005,338, 1, 13-18.

18 Dobrogowska, A and Odzijewicz, A, Second order q-difference equations solv-able by factorization method, OF COMPUTATIONAL AND APPLIED MATH-EMATICS, 2006, 193, 1, 319-346.

19 Carinena, Jose F. and Ramos, Arturo, GENERALIZED BACKLUND-DARBOUXTRANSFORMATIONS IN ONE-DIMENSIONAL QUANTUM MECHANICS,

51

INTERNATIONAL OF GEOMETRIC METHODS IN MODERN PHYSICS,2008, 5, 4, 605-640.

20 Contreras-Astorga, Alonso and Fernandez C, David J., Supersymmetric part-ners of the trigonometric Poschl-Teller potentials, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 47.

21 Grandati, Y. and Berard, A., Rational solutions for the Riccati-Schrodingerequations associated to translationally shape invariant potentials, ANNALS OFPHYSICS, 2010, 325, 6, 1235-1259.

22 Grandati, Yves, Solvable rational extensions of the isotonic oscillator, AN-NALS OF PHYSICS, 2011, 326, 8, 2074-2090.

23 Fernandez C, David J. and Salinas-Hernandez, Encarnacion, Hyperconfluentthird-order supersymmetric quantum mechanics, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 36.

24 Midya, Bikashkali, Nonsingular potentials from excited state factorization of aquantum system with position-dependent mass, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 43.

25 Bermudez, David and Fernandez C, David J. and Fernandez-Garcia, Nicolas,Wronskian differential formula for confluent supersymmetric quantum mechan-ics, PHYSICS LETTERS A, 2012, 376, 5, 692-696.

26 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum mechan-ics: Concepts and realizations, of Physics A: Mathematical and Theoretical,2012, 45, 50,

27 Fernandez, D.J., Harmonic oscillator SUSY partners and evolution loops, Sym-metry, Integrability and Geometry: Methods and Applications (SIGMA), 2012,8.

28 Grandati, Y., Multistep DBT and regular rational extensions of the isotonicoscillator, Annals of Physics, 2012, 327, 10, 2411-2431.

29 Dobrogowska, A., The q-deformation of the Morse potential, Applied Mathe-matics Letters, 2013, 26, 7, 769-773.

30 Bermudez, D. and Fernandez C., D.J., Factorization method and new potentialsfrom the inverted oscillator, Annals of Physics, 2013, 333, 290-306.

31 Dobrogowska, A. and Jakimowicz, G., Factorization method applied to thesecond order q-difference operators, Applied Mathematics and Computation,2014, 228, 147-152.

32 Fernandez, D.J. and Morales-Salgado, V.S., Supersymmetric partners of theharmonic oscillator with an infinite potential barrier, of Physics A: Mathematicaland Theoretical, 2014, 47, 3.

52

51 B. Mielnik, D.J. Fernandez, in 39-th IEEE CDC, Causal Publ., Sydney,(2000) p. 961

1 V.Ramakrishna et al., in 39-th IEEE CDC, Causal Publ. Sydney (2000), p.955

54 B. Mielnik, Nonlinear quantum mechanics: a conflict with the Ptolomean struc-ture?, Phys. Lett. A, 289 (2001), 1-2, 1-8.

1 Garcia-Compean, H and Plebanski, JF and Przanowski, M and Turrubiates, FJ,Deformation quantization of geometric quantum mechanics, J. Phys. A: Math.Gen. 35, 19, 4301-4319 (2002).

2 Czachor, M and Doebner, HD, Correlation experiments in nonlinear quantummechanics, PHYSICS LETTERS A, 2002, 301, 3-4, 139-152.

3 McHarris, WC, Quantum imponderables having parallels in nonlinear dynamics:indications of nonlinearities at the heart of quantum mechanics?, J. Optics. B:Quant. Semiclassical Optics 5, 3, 5442-5449 (2003).

4 Parwani, RR, An information-theoretic link between spacetime symmetries andquantum linearity, ANNALS OF PHYSICS, 2005, 315, 2, 419-452.

5 Yurtsever, U and Hockney, G, Signalling, entanglement and quantum evolutionbeyond Cauchy horizons, CLASSICAL AND QUANTUM GRAVITY, 2005, 22,2, 295-312.

6 McHarris, WC, Nonlinearities in quantum mechanics, BRAZILIANOF PHYSICS,2005, 35, 2B, 380-384.

7 Kent, A, Nonlinearity without superluminality, PHYSICAL REVIEW A, 2005,72, 1.

8 Yalabik, M. Cemal, Nonlinear Schrodinger equation for quantum computation,MODERN PHYSICS LETTERS B, 2006, 20, 18, 1099-1106.

9 McHarris, Wm. C., Chaos meets quantum mechanics: Possible nonlinear vin-dication of Einstein’s arguments - Paradoxes of the Copenhagen interpretation:Nonlinear parallels, COMPLEXITY, 2007, 12, 4, 12-18.


2010:

53

11 Brody, Dorje C. and Gustavsson, Anna C. T. and Hughston, Lane P., Non-linearity and constrained quantum motion, J. Phys. A-Math. Theo. 43, 8,(2010).

12 McHarris, W.C., Chaos and the quantum: How nonlinear effects can explaincertain quantum paradoxes, Journal of Physics: Conference Series, 2011, 306,1.

13 Buric, N. and Popovic, D.B. and Radonjic, M. and Prvanovic, S., HamiltonianFormulation of Statistical Ensembles and Mixed States of Quantum and HybridSystems, Foundations of Physics, 2013, 43, 12, 1459-1477.

14 Buric, N. and Menda, I. and Popovic, D.B. and Radonjic, M. and Prvanovic, S.,Hybrid dynamics as a constrained quantum system, Journal of Physics: Con-ference Series, 2013, 442, 1.

15 Buric, N. and Popovic, D.B. and Radonjic, M. and Prvanovic, S., Phase spacetheory of quantum-classical systems with nonlinear and stochastic dynamics,Annals of Physics, 2014, 343, 16-26.

55 D.J. Fernandez, B. Mielnik, O. Rosas-Ortiz, B.F. Samsonov, The Phe-nomenon Of Darboux Displacement, Phys. Lett. A 294, 168 (2002).

1 Khare, A and Sukhatme, U, Analytically solvable PT-invariant periodic potentials,PHYSICS LETTERS A, 2004, 324, 5-6, 406-414.

2 Khare, A and Sukhatme, U , Periodic potentials and supersymmetry, OF PHYSICSA-MATHEMATICAL AND GENERAL, 2004, 37, 43, 10037-10055.

3 Correa, Francisco and Jakubsky, Vit and Plyushchay, Mikhail S. , Finite-gap sys-tems, tri-supersymmetry and self-isospectrality, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 48.

4 Nagasawa, Tomoaki and Ohya, Satoshi and Sakamoto, Kazuki and Sakamoto,Makoto and Sekiya, Kosuke , Hierarchy of QM SUSYs on a bounded domain,OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42, 26.

5 Olkhovsky, V. S. and Maydanyuk, S. P. and Recami, E. , Non-self-adjoint op-erators as observables in quantum theory and nuclear physics, PHYSICS OFPARTICLES AND NUCLEI, 2010, 41, 4, 508-530.

6 Jakubsky, Vit and Nieto, Luis-Miguel and Plyushchay, Mikhail S. , The origin ofthe hidden supersymmetry, PHYSICS LETTERS B, 2010, 692, 1, 51-56.

7 Plyushchay, Mikhail S. and Nieto, Luis-Miguel , Self-isospectrality, mirror symme-try, and exotic nonlinear supersymmetry, PHYSICAL REVIEW D, 2010, 82,6.

54

8 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum mechanics:Concepts and realizations, of Physics A: Mathematical and Theoretical, 2012,45, 50.

9 Correa, F. and Plyushchay, M.S., Self-isospectral tri-supersymmetry in PT-symmetricquantum systems with pure imaginary periodicity, Annals of Physics, 2012, 327,6, 1761-1783.

10 Arancibia, A. and Plyushchay, M.S., Extended supersymmetry of the self-isospectralcrystalline and soliton chains, Physical Review D - Particles, Fields, Gravitationand Cosmology, 2012, 85, 4.

11 Correa, F. and Jakubsk, V., Finite-gap twists of carbon nanotubes and an emer-gent hidden supersymmetry, Physical Review D - Particles, Fields, Gravitationand Cosmology, 2013, 87, 8.

12 Arancibia, A. and Guilarte, J.M. and Plyushchay, M.S., Effect of scalings andtranslations on the supersymmetric quantum mechanical structure of solitonsystems, Physical Review D - Particles, Fields, Gravitation and Cosmology,2013, 87, 4.

57 D.J. Fernandez, B. Mielnik, O. Rosas-Ortiz, B.F. Samsonov, NONLO-CAL SUSY DEFORMATIONS OF PERIODIC POTENTIALS, J. Phys. A 35(2002), 4279.

1 Khare, A and Sukhatme, U, Analytically solvable PT-invariant periodic potentials,PHYSICS LETTERS A, 2004, 324, 5-6, 406-414.

2 Ranjani, SS and Kapoor, AK and Panigrahi, PK, Band edge eigenfunctions andeigenvalues for periodic potentials through the quantum Hamilton-Jacobi for-malism, MODERN PHYSICS LETTERS A, 2004, 19, 27, 2047-2058.

3 Khare, A and Sukhatme, U, Periodic potentials and supersymmetry, OF PHYSICSA-MATHEMATICAL AND GENERAL, 2004, 37, 43, 10037-10055.

4 Chabanov, VM and Zakhariev, BN, To the theory of waves in periodic structuresin inverse problem approach, INTERNATIONAL OF MODERN PHYSICS B,2004, 18, 30, 3941-3957.

5 Zakhar’ev, BN and Chabanov, VM, New results concerning the behavior of wavesin transparent, periodic, and multichannel structures, PHYSICS OF PARTI-CLES AND NUCLEI, 2005, 36, 6, 779-799.

6 M. Trott, The mathematical guidebook for symbolics, Springer (NY, USA 2006),pp. 1076.

55

7 Gonzalez-Lopez, A and Tanaka, T, Nonlinear pseudo-supersymmetry in the frame-work of N-fold supersymmetry, OF PHYSICS A-MATHEMATICAL AND GEN-ERAL, 2006, 39, 14, 3715-3723.

8 Ioffe, M. V. and Guilarte, J. Mateos and Valinevich, P. A., A class of partiallysolvable two-dimensional quantum models with periodic potentials, NUCLEARPHYSICS B, 2008, 790, 3, 414-431.

9 Correa, Francisco and Jakubsky, Vit and Plyushchay, Mikhail S., Finite-gap sys-tems, tri-supersymmetry and self-isospectrality, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 48.

10 Andrianov, Alexander A. and Sokolov, Andrey V., Hidden Symmetry from Su-persymmetry in One-Dimensional Quantum Mechanics, SYMMETRY INTE-GRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5.

11 Nagasawa, Tomoaki and Ohya, Satoshi and Sakamoto, Kazuki and Sakamoto,Makoto and Sekiya, Kosuke, Hierarchy of QM SUSYs on a bounded domain,OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42, 26.

12 Khmelnytskaya, K. V. and Rosu, H. C., Spectral parameter power series represen-tation for Hill’s discriminant, ANNALS OF PHYSICS, 2010, 325, 11, 2512-2521.

13 Bermudez, David and Fernandez C, David J. and Fernandez-Garcia, Nicolas,Wronskian differential formula for confluent supersymmetric quantum mechan-ics, PHYSICS LETTERS A, 2012, 376, 5, 692-696.

14 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum mechanics:Concepts and realizations, Journal of Physics A: Mathematical and Theoretical,2012, 45, 50.

15 Arancibia, A. and Guilarte, J.M. and Plyushchay, M.S., Effect of scalings andtranslations on the supersymmetric quantum mechanical structure of solitonsystems, Physical Review D - Particles, Fields, Gravitation and Cosmology,2013, 87, 4.

16 Sokolov, A.V., Polynomial supersymmetry for matrix Hamiltonians, Physics Let-ters, Section A: General, Atomic and Solid State Physics, 2013, 377, 9, 655-662.

58 A. Ramirez, B. Mielnik, The Challenge of non-Hermitian Structures in Physics,Rev. Mex. Fis. 49, Supl. 2, 130-133 (2003).

1 Znojil, M, Solvable simulation of a double well problem in symmetric quantummechanics, J. Phys. A Math. Gen. 36, 7639 (2003).

56

2 Znojil, M, Symmetric models in more dimensions and solvable square-well ver-sions of their angular Schrodinger equations, J. Phys. Math. Gen. 36, 7825(2003).

3 G. Scolarici, On pseudo-Hermitian nondiagonalizable Hamiltonians, J. Math.Phys. 44, 4450 (2003).

4 O. Rosas-Ortiz, Non-Hermitian SUSY hydrogen like Hamiltonians with realspectra, J. Phys. A Math. Gen. 36, 8497 (2003).

5 A. Mostafazadeh, Pseudounitary operators and pseudounitary quantum me-chanics, J. Math. Phys. 45, 932 (2004).

6 Znojil, M, Linear representation of energy-dependent Hamiltonians, PHYSICSLETTERS A 326, 1-2, 70-76, (2004).DOI: 10.1016/S0375-9601(04)00558-4,

7 Znojil, M, Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation, JOURNAL OF PHYSICS A-MATHEMATICAL AND GEN-ERAL 37, 40, 9557-9571 (2004).DOI: 10.1088/0305-4470/37/40/016,

8 Andrianov, AA and Cannata, F, Nonlinear supersymmetry for spectral designin quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL ANDGENERAL 37, 43, 10297-10321 (2004).DOI: 10.1088/0305-4470/37/43/019,

9 Znojil, M, PT-symmetric regularizations in supersymmetric quantum mechan-ics, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37, 43,10209-10222 (2004).DOI: 10.1088/0305-4470/37/43/013,

10 Bender, CM and Brod, J and Refig, A and Reuter, ME, The C operator in PT-symmetric quantum theories, JOURNAL OF PHYSICS A-MATHEMATICALAND GENERAL 37, 43, 10139-10165 (2004).DOI: 10.1088/0305-4470/37/43/009,

11 Znojil, M, Fragile PT-symmetry in a solvable model, JOURNAL OF MATH-EMATICAL PHYSICS 45, 11, 4418-4430 (2004).DOI: 10.1063/1.1803928,

12 Takook, MV, A natural renormalization of the one-loop effective action forscalar field in curved spacetime, INTERNATIONAL JOURNAL OF MODERNPHYSICS E-NUCLEAR PHYSICS 14, 2, 219-223 (2005).DOI: 10.1142/S0218301305002953,

13 Mostafazadeh, A, Pseudo-Hermitian description of PT-symmetric systems de-fined on a complex contour, JOURNAL OF PHYSICS A-MATHEMATICALAND GENERAL 38, 14, 3213-3234 (2005).DOI: 10.1088/0305-4470/38/14/011,

57

14 Samsonov, BF and Shamshutdinova, VV, Quadratic pseudosupersymmetry intwo-level systems, JOURNAL OF PHYSICS A-MATHEMATICAL AND GEN-ERAL 38, 21, 4715-4725 (2005)DOI: 10.1088/0305-4470/38/21/015,

15 Znojil, M, Solvable PT-symmetric model with a tunable interspersion of non-merging levels, JOURNAL OF MATHEMATICAL PHYSICS 46, 6 (2005).DOI: 10.1063/1.1925249,

16 Munoz, R, On the generation of non-Hermitian Hamiltonians with real spectraby a modified Darboux transform, PHYSICS LETTERS A 345, 4-6, 287-292(2005).DOI: 10.1016/j.physleta.2005.07.040,

17 Bagchi, B and Banerjee, A and Caliceti, E and Cannata, F and Geyer, HBand Quesne, C and Znojil, M, CPT-conserving hamiltonians and their nonlinearsupersymmetrization using differential charge-operators C, INTERNATIONALJOURNAL OF MODERN PHYSICS A 20, 30, 7107-7128 (2005).DOI: 10.1142/S0217751X05022901,

18 Banerjee, A, A perturbative treatment of a generalized PT-symmetric quarticanharmonic oscillator, MODERN PHYSICS LETTERS A 20, 39, 3013-3023(2005).DOI: 10.1142/S0217732305018475,

19 Bagchi, B. and Mallik, S. and Bila, H. and Jakubsky, V. and Znojil, M. andQuesne, C., PT-symmetric supersymmetry in a solvable short-range model, IN-TERNATIONAL JOURNAL OF MODERN PHYSICS A 21, 10, 2173-2190(2006).DOI: 10.1142/S0217751X0602951X,

20 Znojil, Miloslav, Matching method and exact solvability of discrete PT-symmetricsquare wells, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL39, 32, 10247-10261 (2006).

21 Jakubsky, Vit and Smejkal, Jaroslav, A positive-definite scalar product forfree Proca particle, CZECHOSLOVAK JOURNAL OF PHYSICS 56, 9, 985-997 (2006).

22 Rosas-Ortiz, Oscar, Gamow vectors and supersymmetric quantum mechanics,REVISTA MEXICANA DE FISICA 53, 2, S, 103-109 (2007).

23 Roychoudhury, R. and Roy, B., Intertwining operator in nonlinear pseudo-supersymmetry, PHYSICS LETTERS A 361, 4-5, 291-293 (2007).

24 N. Fernandez-Garcia, On a class of hairy barriers and Gamow vectors, AIPConf. Proc. 885, 30 (2007).

25 Znojil, Miloslav, Conditional observability, PHYSICS LETTERS B 650, 5-6,440-446 (2007).

58

26 Roy, B. and Roychoudhury, R., Nonlocal PT-symmetric potentials, JOURNALOF PHYSICS A-MATHEMATICAL AND THEORETICAL 40, 29, 8479-8486(2007).

27 Nesterov, Alexander I. and de la Cruz, Fermin Aceves, Infinite-dimensionalrepresentations of the rotation group and Dirac monopole problem, JOURNALOF MATHEMATICAL PHYSICS 49, 1 (2008).

28 Roychoudhury, R. and Roy, B., Pseudo-supersymmetry and third order inter-twining operator, PHYSICS LETTERS A 372, 7, 997-1000 (2008).

29 Fernandez-Garcia, Nicolas and Rosas-Ortiz, Oscar, Gamow-Siegert functionsand Darboux-deformed short range potentials, ANNALS OF PHYSICS 323, 6,1397-1414 (2008).

30 Znojil, Miloslav, Horizons of stability, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL 41, 24 (2008).

31 Rouhani, S. and Takook, M. V., A Naturally Renormalized Quantum FieldTheory, INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 48, 10,2740-2747 (2009).

2010:

32 Fernandez-Garcia, Nicolas and Rosas-Ortiz, Oscar, Extended WKB Method,Resonances and Supersymmetric Radial Barriers, INTERNATIONAL JOUR-NAL OF THEORETICAL PHYSICS 50, 7, SI, 2057-2066 (2011).

33 Refaei, A., Euler-Heisenberg Lagrangian through Krein regularization, Interna-tional Journal of Modern Physics A, 2013, 28, 14.

60 B. Mielnik and O. Rosas-Ortiz, Factorization, little or great algorithm ?,JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37 (2004),43, 10007-10035.

1 Fernandez, DJ and Salinas-Hernandez, E, PHYSICS LETTERS A, 338 (2005),1, 13-18.

2 Fernandez, DJ and Ganguly, A, PHYSICS LETTERS A, 338 (2005), 3, 203-208.

3 Mosna, RA and Hamilton, IP and Delle Site, L, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 38 (2005), 17, 3869-3878.

4 Humi, M, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,38 (2005), 28, 6351-6361.

59

5 Samsonov, Boris F, SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians, Journal of Physics A: Mathematical and General,(2005)

6 C.D.J Fernandez, Higher-order supersymmetric quantum mechanics, Arxiv preprintquant-ph/ (2005).

7 R.A. Mosna, Quantumclassical correspondence via a deformed kinetic operator,J. Phys. A: Math. Gen. 38, 3869 (2005).DOI:10.1088/0305-4470/38/17/011.

8 Humi, M, JOURNAL OF MATHEMATICAL PHYSICS, 46( 2005), 8.

9 Pupasov, Andrey M. and Samsonov, Boris F., SYMMETRY INTEGRABILITYAND GEOMETRY-METHODS AND APPLICATIONS, 1 (2005), 020.

10 M.A. and Lohe, An algebraic formulation of quantum mechanics in fractionaldimensions, Reports on Mathematical Physics 57, 1, 131-146 (2006).

11 De Vincenzo, Salvatore, CHINESE PHYSICS LETTERS, 23 (2006), 8, 1969-1972.

12 Samsonov, Boris F. and Pupasov, Andrey M., PHYSICS LETTERS A, 356(2006), 3, 210-214.

13 Samsonov, Boris F., PHYSICS LETTERS A, 358 (2006), 2, 105-114.

14 Morales, J. and Pena, J. J. and Ovando, G. and Garcia-Ravelo, J., JOURNALOF MOLECULAR STRUCTURE-THEOCHEM, 769 (2006), 1-3, 9-14.

15 Cornejo-Perez, O. and Negro, J. and Nieto, L. M. and Rosu, H. C., FOUN-DATIONS OF PHYSICS, 36 (2006),10, 1587-1599.

16 M. Trott, The Mathematical guidebook for symbolics, Springer (NY, USA2006), pp. 892.

17 P. Siegl, BSc. Thesis, Faculty of Nuclear Science and Physical Engineering,Czech Technical University (Prague 2006).

18 Fernandez, David J. and Ganguly, Asish, ANNALS OF PHYSICS, 322 (2007),5, 1143-1161.

19 Shamshutdinova, V. V. and Samsonov, Boris F. and Gitman, D. M., ANNALSOF PHYSICS, 2007, 322, 5, 1043-1061.

20 Sokolov, A. V., Non-linear supersymmetry for non-Hermitian, non-diagonalizableHamiltonians: II. Rigorous results, NUCLEAR PHYSICS B, 2007, 773, 3, 137-171.

21 N. FernandezGarcıa, Darbouxdeformed barriers and resonances in quantummechanics, Rev. Mex. Fis. 53, 4, 2007.

60

22 Andrianov, A. A. and Cannata, F. and Sokolov, A. V., Non-linear supersymme-try for non-hermitian, non-diagonalizable Hamiltonians: I. General properties,NUCLEAR PHYSICS B, 2007, 773, 3, 107-136

23 Pupasov, Andrey M. and Samsonov, Boris F. and Guenther, Uwe, Exact prop-agators for SUSY partners, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2007, 40, 34, 10557-10587.

24 N. Fernandez-Garcıa, On a Class of Hairy Square Barriers and Gamow Vectors,AIP Conference Proceedings (2007).

25 Mateo, J. and Negro, J., Third-order differential ladder operators and super-symmetric quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2008, 41, 4.

26 S. Menouar, M. Maamache, Y. Saadi and J.R. Choi, Exact wavefunctions fora time-dependent Coulomb potential, J. Phys. A: Math. Theor. 41, 215303(2008).DOI:10.1088/1751-8113/41/21/215303

27 Schulze-Halberg, Axel, Darboux transformations for effective mass Schrodingerequations with energy-dependent potentials, INTERNATIONAL JOURNALOF MODERN PHYSICS A, 2008, 23, 3-4, 537-546.

28 Khmelnytskaya, Kira V. and Kravchenko, Vladislav V., On a complex differ-ential Riccati equation, JOURNAL OF PHYSICS A-MATHEMATICAL ANDTHEORETICAL, 2008, 41, 8.

29 Dattoli, G. and Levi, D. and Winternitz, P., Heisenberg algebra, umbral calcu-lus and orthogonal polynomials, JOURNAL OF MATHEMATICAL PHYSICS,2008, 49, 5.

30 Samsonov, Boris F. and Shamshutdinova, V. V., Dynamical qubit controllingvia pseudo-supersymmetry of two-level systems, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41, 24.

31 Contreras-Astorga, Alonso and Fernandez C, David J., Supersymmetric part-ners of the trigonometric Poschl-Teller potentials, JOURNAL OF PHYSICSA-MATHEMATICAL AND THEORETICAL, 2008, 41, 47.

32 Shamshutdinova, Varvara V. and Pichugin, Konstantin N. and Rotter, Ingridand Samsonov, Boris F., Feshbach projection-operator formalism applied toresonance scattering on Bargmann-type potentials, PHYSICAL REVIEW A,2008, 78, 6, Part A.

33 Bagchi, B. and Quesne, C. and Roychoudhury, R., Isospectrality of conven-tional and new extended potentials, second-order supersymmetry and role ofPT symmetry, PRAMANA-JOURNAL OF PHYSICS, 2009, 73, 2, Sp. Iss. SI,337-347.

61

34 M. Mustafa, A Venn diagram for supersymmetric, exactly solvable, shape in-variant, and Infeld-Hull factorizable potentials, Arxiv preprint arXiv:0911.4206,(2009).

35 Quesne, Christiane, Solvable Rational Potentials and Exceptional OrthogonalPolynomials in Supersymmetric Quantum Mechanics, SYMMETRY INTEGRA-BILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5.

36 V.V. Kravchenko, Applied Pseudoanalytic Function Theory, Birkhauser Basel(2009), pp. 179.

2010:

37 A. M. Pupasov, PhD. Thesis, Universite Libre de Bruxelles, Faculte des Sci-ences Appliques & Tomsk University, Physics Faculty (Russia 2010).

38 Polotto, F. and Araujo, M. T. and Drigo Filho, E., Solutions of the Fokker-Planck equation for a Morse isospectral potential, JOURNAL OF PHYSICSA-MATHEMATICAL AND THEORETICAL, 2010, 43, 1.

39 Daoud, M. and Kibler, M. R., Phase operators, temporally stable phase states,mutually unbiased bases and exactly solvable quantum systems, JOURNAL OFPHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43, 11.

40 Sadurni, E. and Seligman, T. H. and Mortessagne, F., Playing relativisticbilliards beyond graphene, NEW JOURNAL OF PHYSICS, 2010, 12.

41 N. Cotfas, Hypergeometric type operators and their supersymmetric partners,Arxiv preprint arXiv:1004.1496 (2010).

42 Berger, Micheal S. and Ussembayev, Nail S., Second-order supersymmetricoperators and excited states, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2010, 43, 38.

43 Samsonov, Boris F., SUSY transformations with complex factorization con-stants: application to spectral singularities, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2010, 43, 40.

44 Olkhovsky, V. S. and Maydanyuk, S. P. and Recami, E., Non-self-adjoint op-erators as observables in quantum theory and nuclear physics, PHYSICS OFPARTICLES AND NUCLEI 41, 4, 508-530 (2010).

45 Contreras-Astorga, Alonso and Fernandez C, David J. and Velazquez, Mer-cedes, Coherent states for quadratic Hamiltonians, JOURNAL OF PHYSICSA-MATHEMATICAL AND THEORETICAL, 44, 3 (2011).

46 Dominguez-Hernandez, Samuel and Fernandez C., David, Rosen-Morse Po-tential and Its Supersymmetric Partners, International Journal of TheoreticalPhysics 50, 7, 1993-2001 (2011).

62

47 D. Bermudez, N. Fernandez-Garcıa, Wronskian differential formula for theconfluent supersymmetric quantum mechanics. Arxiv preprint arXiv:1109.0079,(2011).

48 D.J. Fernandez, C.M. Gadella, L.M. Nieto, Supersymmetry Transformationsfor Delta Potentials? Symm. Int. Geom.: Methods and Applications, SIGMA7 (2011), 029, 14.

49 D. Bermudez and D.J. Fernandez, Supersymmetric Quantum Mechanics andPainleve IV Equation, Symm. Int. Geo.: Methods and Applications, SIGMA 7(2011), 025, 14.

50 H.C. Rosu, K.V. Khmelnytskaya, Parametric oscillators from factorizationsemploying a constant-shifted Riccati solution of the classical harmonic oscillator,Physics Letters A 375, 40, 3491-3495(2011).

51 Gianfreda, M. and Landolfi, G. , Wave packets and statistics concerned withSUSY-QM partners of Paul trap Hamiltonians, THEORETICAL AND MATH-EMATICAL PHYSICS, 2011, 168, 1, 924-938.

52 Bermudez, David and Fernandez C, David J. , Non-hermitian Hamiltoniansand the Painleve IV equation with real parameters, PHYSICS LETTERS A,2011, 375, 33, 2974-2978.

53 Agboola, D. , Complete Analytical Solutions of the Mie-Type Potentials inN-Dimensions, ACTA PHYSICA POLONICA A, 2011, 120, 3, 371-377.

54 Fernandez C, David J. and Salinas-Hernandez, Encarnacion , Hyperconfluentthird-order supersymmetric quantum mechanics, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 36.

55 Midya, Bikashkali , Nonsingular potentials from excited state factorization of aquantum system with position-dependent mass, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 43.

56 Bermudez, David and Fernandez C, David J. and Fernandez-Garcia, Nicolas ,Wronskian differential formula for confluent supersymmetric quantum mechan-ics, PHYSICS LETTERS A, 2012, 376, 5, 692-696.

57 Chou, C.-C. and Biamonte, M.T. and Bodmann, B.G. and Kouri, D.J., Newsystem-specific coherent states for bound state calculations, Journal of PhysicsA: Mathematical and Theoretical, 2012, 45, 50.

58 Andrianov, A.A. and Ioffe, M.V., Nonlinear supersymmetric quantum me-chanics: Concepts and realizations, Journal of Physics A: Mathematical andTheoretical, 2012, 45, 50.

59 Bermudez, D., Complex SUSY transformations and the Painlev IV equation,Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),2012, 8.

63


61 Marquette, I., Singular isotonic oscillator, supersymmetry and superintegrabil-ity, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA),2012, 8.

62 Contreras-Astorga, A. and Fernandez C, D.J. and Negro, J., Solutions of theDirac equation in a magnetic field and intertwining operators?, Symmetry, In-tegrability and Geometry: Methods and Applications (SIGMA), 2012, 8.

63 Roy, P., Comment on ”a novel class of isospectral deformations in supersym-metric quantum mechanics”, Journal of High Energy Physics, 2012, 2012, 10.

64 Arcos-Olalla, R. and Reyes, M.A. and Rosu, H.C., An alternative factorizationof the quantum harmonic oscillator and two-parameter family of self-adjointoperators, Physics Letters, Section A: General, Atomic and Solid State Physics,2012, 376, 45.

65 Goyal, A. and Gupta, R. and Loomba, S. and Kumar, C.N., Riccati parame-terized self-similar waves in tapered graded-index waveguides, Physics Letters,Section A: General, Atomic and Solid State Physics, 2012, 376, 45, 3454-3457.

66 Kumar, C.N. and Gupta, R. and Goyal, A. and Loomba, S. and Raju, T.S. andPanigrahi, P.K., Controlled giant rogue waves in nonlinear fiber optics, PhysicalReview A - Atomic, Molecular, and Optical Physics, 2012, 86, 2.

67 Berezovoj, V.P. and Konchatnij, M.I., Dynamics of localized states in ex-tended supersymmetric quantum mechanics with multi-well potentials, Journalof Physics A: Mathematical and Theoretical, 2012, 45, 22.

68 Gupta, R. and Loomba, S. and Kumar, C.N., Class of nonlinearity controlparameter for bright solitons of non-autonomous NLSE with trapping potential,IEEE Journal of Quantum Electronics, 2012, 48, 7, 847-851.

69 Quesne, C., Revisiting (quasi-)exactly solvable rational extensions of the morsepotential, International Journal of Modern Physics A, 2012, 27, 13.

70 Maya-Mendieta, M. and Oliveros-Oliveros, J. and Teniza-Tetlalmatzi, E. andVargas-Ubera, J., Hermitian operators and boundary conditions, Revista Mex-icana de Fisica, 2012, 58, 1, 94-103.

71 Marquette, I., Classical ladder operators, polynomial Poisson algebras, andclassification of superintegrable systems, Journal of Mathematical Physics, 2012,53, 1.

72 Bermudez, D. and Fernandez C., D.J., Factorization method and new poten-tials from the inverted oscillator, Annals of Physics, 2013, 333, 290-306.

64

72 Chou, C.-C. and Kouri, D.J., Multidimensional supersymmetric quantum me-chanics: Spurious states for the tensor sector two hamiltonian, Journal of Phys-ical Chemistry A, 2013, 117, 16, 3442-3448.

72 Mak, M.K. and Harko, T., New further integrability cases for the Riccatiequation, Applied Mathematics and Computation, 2013, 219, 14, 7465-7471.

73 Goyal, A. and Gupta, R. and Kumar, C.N. and Soloman Raju, T. and Pani-grahi, P.K., Controlling optical similaritons in a graded-index nonlinear waveg-uide by tailoring of the tapering profile, Optics Communications, 2013, 300,236-243.

74 Patra, P. and Dutta, A. and Saha, J.P., SUSY formalism for the symmetricdouble well potential, Pramana - Journal of Physics, 2013, 80, 1, 21-30.

75 Ho, C.-L. and Lee, J.-C. and Sasaki, R., Scattering amplitudes for multi-indexed extensions of solvable potentials, Annals of Physics, 2014, 343, 115-131.

76 Rosu, H.C. and Mancas, S.C. and Chen, P., One-parameter families of super-symmetric isospectral potentials from Riccati solutions in function compositionform, Annals of Physics, 2014, 343, 87-102.

77 Fernandez, D.J. and Morales-Salgado, V.S., Supersymmetric partners of theharmonic oscillator with an infinite potential barrier, Journal of Physics A:Mathematical and Theoretical, 2014, 47, 3.

78 Gomez-Ullate, D. and Grandati, Y. and Milson, R., Rational extensions of thequantum harmonic oscillator and exceptional Hermite polynomials, Journal ofPhysics A: Mathematical and Theoretical, 2014, 47, 1.

62 S.G Cruz y Cruz and B. Mielnik, The Parity Phenomenon for Floquet Spec-tra, Phys. Lett A 352, 36-40 (2005).

1 Fernandez, David J. and Velazquez, Mercedes, Coherent states approach to Pen-ning trap, OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009,42, 8.

2 Contreras-Astorga, Alonso and Fernandez C, David J. and Velazquez, Mercedes,Coherent states for quadratic Hamiltonians, OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 3.

3 Contreras-Astorga, Alonso and Fernandez C, David J., Coherent States for theAsymmetric Penning Trap, INTERNATIONAL OF THEORETICAL PHYSICS,2011, 50, 7, SI, 2084-2093.

65

63 B. Mielnik and A. Ramirez, Ion Traps: Some Semiclassical Observations,Phys. Scr. 82 055002 (2010).

1 Contreras-Astorga, Alonso and Fernandez C, David J. and Velazquez, Mercedes,Coherent states for quadratic Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICALAND THEORETICAL, 2011, 44, 3.


66

Date post:	17-Jul-2020
Category:	Documents
Upload:	others
View:	1 times
Download:	0 times

Bogdan Mielnikbogdan/citas/citas.pdf · 2014-04-13 · Bogdan Mielnik Citas 1968{2014 2 .B. Mielnik...

Documents