Perturbation Theory - Quantum Physics II - Handwritten Notes | PHYS 3660, Study notes of Quantum Physics

Download Perturbation Theory - Quantum Physics II - Handwritten Notes | PHYS 3660 and more Study notes Quantum Physics in PDF only on Docsity! Lecture A'S Pertuch=ton theory’ Expaccl eressy et genvelues af Ee Ce CHOATE fo) os) Fails if E = € fot. n “~ . Re solve Sing olen ene rete. p e Collect all. stetes sith / wn Set up mastcly. H Gritliths calls this VJ [cat 1a Pe s ind . Ti wayn E+ En Som ee mF an cturbetion theoty : th fs) ae mn = 5 CaM EHD way Then need to. exactly ch Obter. eigenstates Since CH OTH 4’ | o.y= tagonalite wratorx< EO ae pS (stint elgenst tes ot He) oO Cor men, CER Kew, use regnler formals Exew ple frou Demetr pec tucbetron theaty E, = -iF wens ote ) ( with Sun exte refing evel alf w) (8 aS | —+ _ [> lagona ls yetion _chegenecete, . [More then thet, [Sat get hele 1 (3. ees ¥. En@os & £ ° nly too stetes con't cho anelyticn ly fa senere| Leon. pooetul tol! A | Theorems (Su phos ope ctor Bo commete§ — corth 4?) eH! Sey ai A are eee clegenerete ergeeststes, at 4O | and. alse €lgenstetes ef A watt ; distinct eigenualae S, Then CHO UH IHOS ZO, se are seek steles +a cose for porta betion, Theory, pcm mee— ; woo “1 Praof: — _ ey Ayo = ote A 4 my se) “ah, Z se ew Zhe. . lot ft w | Have | Se 1 ce tw. €. So We. Can avuad L8 mpl ty Aiegerali ting id! ws. CA, Hi Js0 C4, Anl~ WALD = © (o-v) <4 TH (4 >= 0 2 io S C4! 1H ergenstetes, of A