Lecture Notes: Schrodinger's Equation PDF

Lecte lotes. : Schrodige Eq utbis ehe- dimeuSi + 2M 4-time-depodeut 2m 2? fo. Ware-1923 behavs lihe t bag a ane A movip ebiect mt...

Lecte lotes. : Schrodige Eq utbis ehe- dimeuSi + 2M 4-time-depodeut 2m 2? fo. Ware-1923 behavs lihe t bag a ane A movip ebiect mtte have genenaliettan all foms ot and þartile -- dual chaa testts. SAVe Moa.Beyh. 1924 Ware funeti epeatie ate Wavr des(ajbud by he saefunctit a toject trine t is h,y,t) aud at te thu þoit  foud in infniteal alume dv l- dadyde) alout a point x,9,2) derted by Pa,y)dV is in Castekja coerdiateo. AV da dyde Va,y,*,A) + Cmplez functinn In genesal 2 hastile muof ee seneukne He tatal Sime te to al 4 normaled waur-functi. chaafestts f eue futs contrhluuo aud i\ple valued, finite mut he fiit, t n o and y novmalezle Eq:) arabe7 as 2 S t oy t o "muof to erO Qnd ’to oven all sce e fiite Constut vrale Ez: for a wane Yo,o) C eapl-) fid the " C that mmaliees te wave (A: Co foud i tee itenal (Aus: s64).  2 tine) Aame at ttoiet mometum an ofo erat aud packet tecntetf spechal thsprevides Amytehutes a(u) eneg oetun and leyerE)no vales ef ek ui þasttkeAesoibesa ay) chanpeowavepat undgoes pachet oare te k, V dicekion, and conttrtueut fte each As auith wave a(k) elatrinstt) (non k) Qud E/* Lcos A (x-at)J si(kx-ust) u i + plae - t)i(kq- Ae Wene (10) feotile foe a Scdoödigds Equcka bare kCE*-a) Y= A e- (w: k, k ÞA). EY - KE PE tue + U. 2m -tine fr. 3D. + t 2m  (-& I8 calleA Hamtaia A 2 lt) E(*) 4) e-iat 2 ) EPR) tw + U) da neheutet for foa padele, Ub) o da As fuch. ika ik a slctrtn to S iet Heue teis all pobabiletio calated fon Yu. Uecallecl statt and can de caleaatud fm tutiine. indatendeut were bith a patile a 2 P(G t)dv 2 þsbailty deuy Codita astine to poitn þababi spau þobabiihy veies. tuselatrt ie setifil vesfy tka fos thiiwe cmsdr shredinpen' theo tte fastcle at time iot a P7,) AV  Crntat te inteyal in the then spae entisx to luneV votu td convegeo. se 4 ineal nemalizati lape venishes at pakt y the eestauceo ad velne wae a tor V 2,PR, -So.d =AV#) deus cusneut pebaliity Tv()- 2me a. I)-6 tuatasswmed kan real. U(,*)w - (*)= et + J4v at abability ofchage af eate The  lrea) patde tonian a a opnat Hermitau Called e atthey wlich ditn fo this gatisfa cm wfuck thntot he A. at t H abovoe Cah We tojon arni ** s(°,)= Re deutg Ct abiig contauty aualbrous to (1V) that Bee e from Expetatin Values clascical cAQO CARO. ’ vale of posta. Cooiate. Th qruatum mechamics e detri he po ita i The expeotci ale of tue posti ao woHe as TStaudad duriatra for momutum 7  we associata Sh qreartum mechoncs axampte, ottn, momeutumm, «each obseake fr aambfe ehogy all a oeeaes. Aseouatad dpat (oae- dimeusio) prstit momuchm E t 2 t potertialeg 5 A Kinett eng K Hamiltnia H A-+U). ad Eapeotctra. values 7 9 Thee-dneninl Caee ddV = d'g. stich is all are Guivaleut moeutum: E xpxetetri vele peneltt it ay Exputati value U )P(+) d*