Download Time Independent Perturbation Theory - Homework 1 | PHYS 623 and more Assignments Quantum Mechanics in PDF only on Docsity! "!$#&%('*)&+-,/...012 3547698:<; => ?67352@ AB=5C: ?D52& E@GF>AH$I<IIKJL5M&%()1'*)1 NOQPSRTN%UV'W)1X&PZY\[^]_N%_#&M$X`'W)X( Pba<N cdN)dX&PZe$NN%fNghf&,Siakjl#>m O1m no'^YpXN%fq]UN?rP/)&UN<st`(('^uXv]w)XxB%NwgyP/(N%zo{ Y\P|B('^YSfw ,SiB N)&P|_}7~ ,Ei~jE ,Ej&,BOV]w'*[|:]wUN?rPS) U&`# $('*Y/Sm M&OVe
m P/e$M018: V ?lE ?69/@<D5 d8:2&2&8:3/::< < 8
D:C $M ]wX('*N)1)M O aPS%v_Rf'XkX&Pb#PS%'WN$e
s&[*'*UPV}9 m jps$%P\gyP/%_X(NX( PbP/M ]?X'WN) _NwgB!$YvR_]wa&[mM ]wX('*N)1)M&O aPS%v_Rf'X&NM&Xx#<P/%('*N$e
s$[W'*UPV}jps %(PSgyPS%_X(NQX&PbP/M ]wX('*N) TNg5X&'*x&NOQPSRTN%Um /T<>-o o-`¡£¢¤x¥:¡h¦-¥B§-¨©¡ª\«¬-x« ¥h® ¯ °-¨Zk¡hx¥ª±³² ² ´/²µ¨Z-¶²l² ´u·¹¸ J¹º¼»¤½698E¾S¿b!$YvRT]a&[À QB%Na [WP/O,,m i<mÂÁoÃWÄÅ7Æ/|}yÇuQÈ`ÉP-%v]w'^É'*)&+]w) e[WN?RTPS%'*)&+ÊN#<P/%]wX(N% X(N('WOQ#&[*'WgyX( PY\NOQ#&M&X]?X'WN) /m }9ÇÇËoÌ:'W) e&'W)&+¹X(&PlP\c&]Y\Xo%(PEÉM [Xo%P/M&'*%P/x][WOQNÉXo)&Nd[*]a<N%xa<PEYS]M ÉP 'X ]wOQNM&)XvfX(Nk]¹É 'gÍX©NwgX(&PbN%('*+'*)dNg5X&PZY\NN%ve$'*) ]?XP`Î5mÏ J¹º Ï ½698/¾Q2&Ð ½h2$ S¿TÑHN) É'^e$P/%_]lXuRTNwËuXv]?XP M ])X(M&OÒ($uXPSOÒe&P/Y\%'WaP/e1aVX( PZÓo]wOQ'*[XN)&'^]w) ÔÕ×ÖÙØÛÚfÜ_ÝÞ ßà á*âßàãá^â ÚfÜxäÞæåç }u, Rf&PS%P Ú Ü s Þ s ß s<]w) eè]%(P ]w[*[>%P/][7mªL_&'^_'*fX(&PbOQNÉXf+P/)&PS%v]w[
ÓxP/%(OQ'WX('^]w)é OV]wX(%'c
mê 2<ëÊÌ:'W)<edX&PbP\c&]YpXfPS'*+P/)r?][WM&PEf]w) ek)&N%(OV]w[*'*ìSP/ekPS'*+P/)rP/Y\X(N%HNwg ÔÕmê Cªë !UP\XYvdX(&P P/'W+PS)r?]w[*M&P/TNwg ÔÕí]BgyM&)<YpX('*N)<_Nwg Þ Rf&PS) Þ Yv<]w)&+P/Hgy%(NO Þïîðäoß X(N Þïñ³ß mBòoNX( PPS) PS%+¹[*PSrPS[^TYS%(N(_N%QóÉ%PS#PS[^ôl'*)1X(&Pb%PS+'WN) Þïõ ~QRf PS%P`X&PSdRHNM&[*e-YS%(N(T'Wg ß RHP/%(P©ìSP/%(Nöê ÐëÑHN)<É'^e$PS%'*)&+ X&P ß XPS%OV_Nwg:X(&PZÓ`]wOQ'W[WX(N)&'^]w)}u,E_]_]Q#<P/%ÉXM&%(a<]?X('*N)Ks&Y\NOQ#&M&X(P©X(&P ÷<%ÉXx]w) e-(P/Y\N) eN%ve$P/%oPS) PS%+-[WP/rP/[:(&'WgÍX©M ('W)&+k)&N)&e$P/+P/)&PS%v]?XPZ#<P/%ÉXM&%a ]?X'WN)X(&P/N%}9](M&OQ'W)&+ ÞùøÖú~\mbÑHNOQ# ]w%PX( P©%P/(M&[WXHRf'WX(kX(&P©P\c$# ]) ('WN)¹Nwg>X&P©P\c&]Y\XHPS'*+P/)r ][WM P/X(N[WN?RTP/ÉXH)&N)r ])&'^É&'*)&+lN%ve$PS%H'W) ßQûÞ Rf&P/)Þïñ³ß mê 3hëüuf)&N)$Ëe$PS+PS)&P/%]wX(P #<P/%ÉXM&%a ]?X'WN)dX&PSN%(1]w#&#&[*'^YS]wa [WP '*)-X(&PbN#&#<NÉ'WX(PZY/](P Þïîµß öÊÌ&N%fRf '*Yv-r?]w[*M&P/Nwg ßVûÞ X(&PZe&PS+P/)&PS%v]?XP©]) e1)&N)&e$P/+P/)&PS%v]?XPorP/%('*N) HX( Pb#<P/%ÉXM&%(a<]?X('*N)kX( PSN%d]%(Pb]w# #&%(N#&%'*]wX(PEöê $ëò`P/Y\%'WaP &N?RïX&PPS'*+PS)rP/YpXN%v_PSrN[*rPZRf&P/) Þ Yv<]w)&+P/_gy%NO Þîýäoß X(N Þþñÿß m ]?X ]w%PZX( PPS'*+P/)rP/Y\X(N%T]?X Þ Ö ~ö»KJ ! #"%$&'( )* +,-.$0/0$ %1203&45,7686981:tÛgy%PSPb#<]w%(X('^Y\[*P©Ng5OV]<; s&RT] rP`)M&Ola<P/%=s&OQNOQP/)XM&O?>@ =s ]) edU'*)&P\X'*Y P/)&PS%+ A }B=&ÖC>@&D = D û E;ON?rP/TN) P\Ëe$'WOQP/) É'*N)<]w[*[W¹][WN)&+ X&PbÎ&Ë]?c$'^_M&) e$P/%fX( Pb'W)GF<M&PS) YSPbNwg5X(&PbRTP/]U¹#<P/%('*N$e$'^Y`#NwXPS)X('^]w[ Þ }9ÎÖ 0HYSNS}BI Î ç }7Rf&PS%PH î A }!I û pmê 2<뺼»Â½H<678/¾/¿% 'W[*PQX(&P¹(#P/YpX%(M OÙNwgTX( PV#&%(Na&[*PSOÙ'^Z]YpX(M<]w[*[WYSN)X('*)M&NM<Ss
gyN%ZÉN[Wr'*)&+1X(&PQgyN[W[*N?Rf'*)&+#&%Na&[*PSOV/s'WXVOQ] aPY\N)rPS)&'*PS)XX(Ne$'^(YS%(PSX('*ìSP-'XVa'*O#N('*)&+ X(&P-#PS%'WN$e$'^Y1a<NM&) e&]%(YSN) e$'WX('*N)<J }9ÎÖ J }9Î ÝLK ps$Rf&P/%(P©] a 'W+Qe$'^uXv]w) YSP K Rf'W[*[
a<P`X]UP/)¹X(N'*)$÷ )&'WXu¹]?XTX(&P©PS)<edNg5YS][*YSM&[*]wX('*N) /mhL_&'*%P/(M&[Xvx'*)M ]w)X'WìE]?X('*N)1X&P R_] rPbrP/YpXN%xr?][WM&PES|M=NkÖ EOQP ûK }9(PSPl# ]w+P/ow. &w~ NgB!&YvR_]wa [>gyN%`]OQN%PZe$P\Xv]w'*[WPEe1P\c$#&[^]w) ]wX('*N)<\mR ÊPbOV] d][*(N¹](M&OQP`X ]?X K '^x(PS[*P/Y\X(P/e-(NQX( ]wXIl][*(NQa<P/[WN)&+fX(NQX( P(P\XxNwg:r?]w[*M&P/oOQP ûEK mÌ:'W)<edX&PbOV]?X%('WcdPS[*PSOQP/)XvfNwg5X(&Pb#PS%(X(M %(a ]wX('*N)}7T'W)1X( Pba ]('*_Ng:M )&#<P/%ÉXM&%a<PEekP/)&PS%+VP/'W+PS) ÉX]wX(PESm