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CHEM113A P_05_soln_113A_W10

CHEM113A P_05_soln_113A_W10 - Q;CW®¥%Wy ME €962">...

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Unformatted text preview: Q;CW®¥%Wy ME €962" :> E: V61 if; u"; (“(Cosawfimezh b} .——- N36, Hz: EEG: 7‘ a) QM— flirf‘r—Ifl' Mm “TY “g , fl .. u ‘ ..‘ ‘1 :5 thel TCOSQD fftsiflg “ Ox”? Ho ufirwerq Q (“@5353 " b= m 310 99 92% . “A: 9 l “—‘W V O ““ KN?) t Q=FCOE€3 buran Pcrew-QCA rt) 0%” L11 E“ CSEVW VQK‘QQ Pfl‘cfirfifi {SW v -- C) Wm") mm 0} X?) «p g1? WW)? New)“ Q {*3 {T1 )4": may? *Fx 1Q mfiykfip f“: QM K [a CM") emeffi-m 3 191%) +1 . 4,... W Eganecw QS E3 '~ ‘1?“ m 3 V“) 6%. U¢= (”03% (,Mffl a“: 4:: {W‘- 1 {EJ iii” a big IWW‘W f: dew”, “(A Preview #05 (Chem1 13A W10. due Wed. 01113110 at 12:05pm in class) Assigned reading: Engel 2.3«~2.5 Attendance record: I am [\A present at or [ ] absent from this class meeting (see date and time above). Name: \«ris—to tar HE Forming study groups is permissible but you must construct your soiutions independently. By riting down aname, I confirm that l strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names or everyone who you worked with on this preview in the space above. [1] Complex functions. Quantum wavefunctions are complex in general. Problem P2.8 (scanned below for your convenience) is a simple exercise on complex functions. To hel ou with a smooth transition durin the "take- oft" period, you can iust do (0) and (d) 5m. 8 Express the foitowinn complex numbers 111 the term a-iIIiJ. 34 Zeim’z (3" gm is]: .g Wffi'g‘? '- 111394 1: NS) d “fie V a) .II AMI. + I) =2<o+ 0 In Billie - ZEUOSL IMLMEE) NECO LL ) L/ C) e,“ : Cos’ix‘t LS‘IQ'T‘” ‘ “‘ +310): ”H L . sii ‘54 3E H "3‘ ‘35; LEJVLJ’Q") A357??? “ SHE, (cosq + LVN) ELEM—E3 WWWWWW l T : 36 (was ENE. 2— \./ t l ,.,.-—~--"",’ ,1 £_ a4 Q Slim to [2] Eigenvalue problem. Soiving eigenvalue problem is one of the most important math skills in QM. Problems P2.11 (scanned below for your convenience). To help you with a smooth transition during the “take-off” period, you can iust do (b) and (0). Feel free to write on the back or attach extra pages. f P2.11 Determine in each at the following cases it the tor-lotion in the first column ts an eigenfunbrion of the operator in the second column If so; what is the eigenvalue? s‘mm: a. .It3 d3/dx3 L' » N . . t“ b. .1? y .r(fl/z¥x)+ y{&}féiy} ‘ w ..... c. sinficosrf: 63/632 : ' . Tfl‘b"? g '3 : 41336 , .. _. ' '5 ® 3.4. LS not cm 21681“?an 03 9&9. awake“, V"! M60 +363) : 3(3) + 50¢) = 2% _ @xi £3 «\q, eiaan§gmfim 0: fig, 'wmw , *3 = 1%) eitgnmlvt 1 an -— __ @ Sinemsfié is QM, eécbenSmcfim (:55 APR afar-aw?" Sinecos¢ : (-l)(s\n6cosg§) QC (waive, 2 an =_ ...
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