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The following lecture notes for PHYS 414, Quantum Mechanics II,...

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The following lecture notes for PHYS 414, Quantum Mechanics II, are the sole property of Glenn Agnolet, Physics Department, Texas A&M University. They are not to be copied or distributed without the consent of the author.
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Page 1: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

The following lecture notes for PHYS 414, Quantum Mechanics II, arethe sole property of Glenn Agnolet, Physics Department, Texas A&MUniversity. They are not to be copied or distributed without the consentof the author.

Page 2: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 3: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 5: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 7: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 13: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 14: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 15: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 16: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 17: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 19: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 21: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 22: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 23: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 24: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 25: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 26: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 27: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 28: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 29: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 30: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 31: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 32: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 35: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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305

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.

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(— ± [

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3”

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e1c)

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Page 49: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

d0 c cck s

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Page 50: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

CSeo

V if °‘ LL11S2.5 q7ceb1 l:Is2s

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u) j 4)

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. C

Page 51: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

EVcLtj l&L kL

9.1ev’

/0.0eV

On 1c eL affru fL d’

r . Z

h -k . S c. S

121 16 18 2O22 24

r

0.2

0.1

r

r

Fig. 14.3 The radial probability density P(r) r2R,. for six quantumstates of hydrogen as a function of r in Bohr radii. (The curve for the 2porbital is drawn twice for comparison.)

Page 52: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

o.q eV

t Bohr Theory Coulomb Interaction Exchange Coulomb InteractionsE

(eV)Singlet States Triplet States

(para) (ortho)—54.16 Exp. 1st Ionization Energy

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//

152 /—108.8 E,””(1 state)

Figure 10-I Schematic diagram of the lowest states of helium. The spin-orbit interaction hasbeen neglected since it is only —,lO’ eV. Degeneracies of levels are given in parentheses.

Page 53: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

32o

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Page 57: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

32

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Page 58: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 59: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

t’i 4 +Lt, C O rz+ S4YAA4ft

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32

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Page 61: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

H-E—- g

— j0 +. —

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Page 62: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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33b

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3 2,

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Page 65: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 66: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

333

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L Tn $vt

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Page 67: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

*LJ

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Page 71: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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Page 72: The following lecture notes for PHYS 414, Quantum Mechanics II, …people.physics.tamu.edu/agnolet/Teaching/PHYS_414/PHYS... · 2013-08-26 · The following lecture notes for PHYS

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, ‘10

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