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Solution to problem 2,14 CH2, Modern quantum mechanics 2nd edition by Sakurai and Napolitano
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SoRurditlof olifoltor 2e'l 2c:tl
?r'\lerq 2,lLl - Ch2
Cort siJer d one ol ;mer7S r uno,l
"= [4(x *ip)2h
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Sr e'Yt'L,1.
(a, o')(o + et) = a2 +ad+ cf a n d'
Pr*b L. ^ 2,111 LH 2 * Soteu'oi bt\
Step L+
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= @)G -lo "l n > l< "' \nctf n > + <m laLl tl t - I m t"r1r,
a -L?LS-.n
: _LhS n,n
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{ ?r"blr* <Hz- 2,r.{)G{,54D eVb) ile tn*//<
e./h@)=t$n,eJ).(*)Rrf |a,ce, Q - y.P fltert vre |ef
#@)=+(G,vtt)*W)frs fhtrc h r) o tine )eyer,"l*,rtrl x ,"r) p *p/ivtg
,)/'|frQr)-+ (fa yyr)
/uw cdnsirler Cfr, ryJ
Iu,ytrJ =lH,xlr*xfu,pJL/ q ha ra Sfa/nr! aru) re)c. lrtfu x]=4
rr1
[u-pJ= Lh *qYUsll/G the-s< vol rell ^-u7,et[t".fJ= -ifr( +yifrdprTl '--w
s .^ b gr i fu6ry .rh, v ol,rut -/ fn . xfJ ),r eluo&ion?..{!#
{ ?r}=+f*(Pr*Lr("#,J-t t = er-*(r/Y-t=7--\- dx /=r9 (*p:2(r>_+#
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A"rnr
:9 e*>:o'lhls ; bl/rel virr'a/
sftp sd IFrro hnrrrtor)ic eSCi lla-to r
v Cx1 = \n@2xz&-- mozx-jdx : zu
Hrt)ce 1, )ttxup o,=.;, *H] ;.:1, o) L,s sort
2 (D = /(v)<r) = (v)ws Lnu,u@=+ [n rL) heufu;le_ (xr) _\ d++ J ft_llere (v) = +) oiir?:
: Ln ("r* b )fi O
ilen ce ws fr.u.J (r)= (v)E,rl I S.,\ouon
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