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,.f I f{ ti,{a A\?sil ' tt'JJU') '+ I ftttq) 4i'pg =. +i, b hJ 'Y{.ut1 4f**n =- + .= H-\ ! hi" == rsq rKii,,.ra "-* [turt rKtru*d)( #-, *_*-) = e.c( kf kn k*r_, Ln',ln-tal, :itkflt i";;nsicl0r ,t Cclil,t{,rr'corl ,t** inlt lz,qtrul y rirvt wft}n tlr, lJ<stt f rnuo fft&r$q.el rr,f*e ul,l,{nr K (!,tLwd b4 shil.4 t* f '= wLL.? \ h) Tlr--, loaxl frlr ".1" lx [<,rdl,r.rLt4il nvr,iq rjffi\dd4 fur sdq,fi &t- 3tA'.d,.a=s-ffUa f = -'4r, L) * btrLz) &r'.'&,*g 1t) a'.d gz) s,nA ttrAnT1xg3rri;ri : -tE = E- tlr z-k- Sepiir"Q v")daiia:s n^d lnir*1m13 v+4rt^ bv,l,fufl4 tca,'dfi'i;ui1; @ r_*_-.p,, 1=1y,e 6* y=r ,r J'=-T jn'n u* R J _d1 :J*r;,, -T' ( T_1,^ = {o(*_i;) .1 ). r"l * P For L1 L. {_- 4, 'JL L "{|* ir*,b :9 4 ,l-L - ^ i LI\ ='rf 6) c.^te fr = {n e, J wirw n F lln i4trfudr ?-C **r( frl1 = r + *rr*r) i q[ *) - r" *r'l-fr),[_"rt;JF ., I @,J ewt.4r.,J (t- -'"(-fr\) e \f,: {,*1,.a,1,4J ;1 {l,ri;x *,*" **{*ru!r, c.d+fkr r l.t't\ trt4r t ri:t !.r
Transcript
Page 1: 'Y{.ut1 - National University of Singaporephyweb.physics.nus.edu.sg/~physoc/beta/resources/pyp/pc... · 2015. 11. 10. · ,.f I f{ ti,{a A\?sil tt'JJU') '+ I ftttq) 4i'pg =.+i, b

,.fI

f{ ti,{a A\?sil

' tt'JJU') '+

I

ftttq) 4i'pg =. +i, b hJ 'Y{.ut1

4f**n =- + .= H-\ ! hi" == rsq rKii,,.ra

"-* [turt rKtru*d)( #-, *_*-)= e.c( kf kn k*r_,

Ln',ln-tal, :itkflt

i";;nsicl0r ,t Cclil,t{,rr'corl ,t** inlt lz,qtrul y rirvt wft}n tlr,lJ<stt f rnuo fft&r$q.el rr,f*e ul,l,{nr K (!,tLwd b4 shil.4 t*

f '= wLL.? \ h)

Tlr--, loaxl frlr ".1" lx [<,rdl,r.rLt4il nvr,iq rjffi\dd4 fur sdq,fi &t-3tA'.d,.a=s-ffUa

f = -'4r, L) * btrLz)

&r'.'&,*g 1t) a'.d gz) s,nA ttrAnT1xg3rri;ri :

-tE = E-tlr z-k-

Sepiir"Q v")daiia:s n^d lnir*1m13 v+4rt^ bv,l,fufl4 tca,'dfi'i;ui1;

@ r_*_-.p,, 1=1y,e

6* y=r ,r J'=-Tjn'n u* R

J _d1 :J*r;,,-T' (

T_1,^ = {o(*_i;)

.1). r"l *

P

For

L1L.

{_- 4,'JL

L

"{|* ir*,b

:94

,l-L

-^ i LI\='rf 6)c.^te fr = {n e, J wirw n F lln i4trfudr ?-C

**r( frl1 = r + *rr*r) i q[ *) - r" *r'l-fr),[_"rt;JF

.,I

@,Jewt.4r.,J (t- -'"(-fr\)

e\f,:

{,*1,.a,1,4J ;1 {l,ri;x *,*" **{*ru!r, c.d+fkr rl.t't\ trt4r t ri:t !.r

Page 2: 'Y{.ut1 - National University of Singaporephyweb.physics.nus.edu.sg/~physoc/beta/resources/pyp/pc... · 2015. 11. 10. · ,.f I f{ ti,{a A\?sil tt'JJU') '+ I ftttq) 4i'pg =.+i, b

4 wr# el,ne nu.ri,r ii*rr !-{ l,r{r p.d*h Wr =*jp o{V = &Vf (i;:[:*tne p'"AC€{i )

iuud dz,rt g:il* ot* hq n,trii,r'gi,r4*r v\"?-= +f{Jg.'*pa\L

Ti**t r,i,l;il[ 6o,"u- er', 'ii"e gn1,5 bi/= rltr*V- :, fi|- f ,V,

A*riirry1 1" 1'1 tru"r,f tf *@n^**V,*,nu*c:

A\,,1= i\".+ C\

tlc[,{rU:At1c; Q= L] , su 4t{ =

* Lb = ?rVr -l'rV. ry Llz t

5D -llut frt.ct: # Lr*-t*nt{VrttnL

c*5;,cilY *t" u* wfi'vu

-{nce {fe{!s3q-t

Iilr,tJ

\5

LL

\N,.

lruVe : LL* ftVt

'Az= Vi'

f *..' -).t

srnec - -. t.+Y, r

'rr/hr.[,r

gtits $c = 4z-\"

'atV[*t rrrilk^q. r., z S., iV^C -du t--w?&-t- ; *rqth inti.r.;z i'\ d4\{&rli

'J4>l

lrr->

f**ilter Jtt o-wztvs

!

Sltrvc.> '-l .b >'i!

rv\u'h l,rl"rg *c =

dTr_.4a rf i;,-lf1J^u.

i.efuc'q"r{ .

Io

>t]

f

i1^pu!,tniYA

\", r p 'ltit liiq o|

t'.:.I?t\_v

Jq^e dr, 6-wi\ve u r.r1, o tdc*\ in+&,wnb\

"11.s ir4q+ wrl,i <-,r.t{.23E {a:lr'r *sng ir4tatn .&i,a. tst y'..fu,1,n,!

Page 3: 'Y{.ut1 - National University of Singaporephyweb.physics.nus.edu.sg/~physoc/beta/resources/pyp/pc... · 2015. 11. 10. · ,.f I f{ ti,{a A\?sil tt'JJU') '+ I ftttq) 4i'pg =.+i, b

-€rl !

(rJ f,r ir"du,r,''r' 1ua,'thvi t+...4,i= J'#' = frcuf_ .=' "1. 'T

Er inlnrll,-r., i;o\rrv3 d:t q '

A(= ffu: J,"nr;{=-) -:7*'

n cu i^S)'b

n6,.i,r(A)

t,,) ftcat inbrrt G{c'41'1 tr€f b'+c :

!{ru,'t' evltft{- c{cur; &V '}+'t

t

T; rrrytlvt &fhqt"^u"! inaWsg"

lHrutts JJ,.e

'{}q 'tC*atr,.e;

F

I 11]

V,i*

uL{ -

lcf-u

,Ji

f -- -

\

ie Lv -.( l. * th) (ri*c'irarrc hm+$y'

n Cr (L *to) (ii",ha.nt coelrn"i

l- cr(rj-r^)_ ryryll.r i -r --r ) LT.- tb)\-V'\,€ ttt

q^d/ar &putttt, 'Tb r ftt*w,,t AJ arvl Tn

igtv'$ aJ itjlzt {h^t4 tuv-ts,q. qw.tha1_tL i4y-t1atJ=TRR = +*.{ = [g=1tJ (a2.2,.,,)

117 i. ll1.5 -{"5$'r'rdl

fylVl'wfr rctrahnxu s,tnI4d &1wtog

U _ nt-hrt:Rf = (rr = L:*td! -'"1

_- t 6tnnn.rfil [.rue-i.13.]

t t ! i$ = [t er)(s5cnr") - l, -'|+Y *,n'- i

l,-/xic 'reri

hr,rr,r^dj r +i cl,i,L = ?+'f = A(::-r**)q bJt6+*r

- -aLl/".-t

Fm

&*&'+ d€ e1;liaL.,qa1, biq.na*y Oad;j/*..q^-l.q V.# uf

$,'ev1 a\i b

ir o

{_or )

(f ri)

<-*-_--{ts+*lt?.

lhv4uiuo h{,1{ I wtl'.h 0f' r,Lr;r[.

r11:/.te& ne'= l.l3J

fl" =f 'g;;

Page 4: 'Y{.ut1 - National University of Singaporephyweb.physics.nus.edu.sg/~physoc/beta/resources/pyp/pc... · 2015. 11. 10. · ,.f I f{ ti,{a A\?sil tt'JJU') '+ I ftttq) 4i'pg =.+i, b

I ltj 'ri

rL r{? $ -ft"Er't r|\, z I

si/rLq).f 'u.€ -Zx,rij l:lrat-^_t!

ii h'* f ' - t- "'L, L. Ii,- -t t-

'rv\

r'n^ := /n",.\{ + t*"i"

fii; r#6^i {-w #- O. f&L{- da,n{atr,rAf *f- r'u'r'q ltfld,

c =l =I-- ( o^df + * Fi I)Z'FIF \

F#"19.

^Iclf' *f r*f rtl 3

c{F

-

>

-l,l

ti

(\

*f/\.

tl

@


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