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CHEM113A P_07_soln_113A_W10

CHEM113A P_07_soln_113A_W10 - Preview#07(Chem113AW’10 due...

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Unformatted text preview: Preview #07 (Chem113AW’10, due Tue. 01119110 at 12:05pm in class) Assignedfixreading: Engel 3.1--3.2 (tier. 1] _ Attendance record: lam [J] present at or[ ] absent from this class meeting (see date andtime above). Name: 1 i Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, i confirm that I strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names of everyone who you worked with on this preview in the space above. [1] Born conditions. The quantum wavefunctions liJ(;~(,t) must satisfy several mathematical conditions to ensure that it represents a possible physical stae. These conditions are called "Born conditions" and three of them are listed on Engel p. 38 (yer. 1): (1)'L|J(x,t) be “single—valued”, (2) '~|J(x,t) be "continuous", and (3) L|a'()<,t) be “normalizable" (for examples, cannot be infinite). Which of the following are well-behaved over the indicated interval? For those which are NOT, please clearly explain why they are not. To alleviate your workload, iust do (a),(b),(e1. ' {fl} 1' (0: 9‘53] (b) 3””: sinh m: (i), as} x {C} (1 ...... 3533M [“11 I] (d) 8"”: ms .3: {0, so} is} ten *"" 1.x [0, be] a) OofldifiOl/ifii J)? (0; WT) . if 3 G) \l/(m is ngiermflwd {mm 0+9 is £19 Shown in. mg 3mm, @ What) are W'chgt) om loo’fh mnTlnocw. [337. {$3.}: “Til/e "I. @ “((3%) \S M summits-sets. - m w 1 RI X L) Via) Ax :: L (if) (13;. :- .-- )2. It? . . in 0 E‘, . * ' ~ iii 5’: s. 6 -'2x. 1 _,_ i engx<giij£ ....... j z Li. (6—: eggs: EX (6 QWWWX "" ax . ....... as 2 2 d5; _ was ¥mewfirJLfla . ‘E fit“ 1 Fx ’36—- 3X :- “ii-F“ Fax 4* i6 ax E) K: difin’iioflfl it .11 27((“6 + 29 2 (0,2943) 8/4 ;. ® WM) {5 émgw Vaimd (shown w/ (flaw) . @ Vbh‘t) afld [HE (iMinfiVfl €Xi$+ afld CUE Mh'flUSM- 0‘ Wad-EX :— 33-d- (Lofifinuous rR‘am on; m , x ETA ) x +\ . 9/ ® SEQ (fiafil'xfdx : 0Q. (mic/Maw WW Tx-gq (arm/fig (mama N30, ”M jmv‘n aH/Wi'xj '19 simi\oi..r +9 “’mi'x, Tm 1%"ng [or “ME. (MG uww "We CUWe) WEE“ QWWAQ‘W "00 as )(F—Hya . Mm “—9 m ‘} /_>_M_NM,,_,.._..”w? _' 1‘ a: K w——?b{) .9,- ,-" . . :4 (I; 3'; I; f I: V/. i J .= Preview #07 (Chem113A W‘10, due Tue. 01:19:10 at 12:05pm in class) Assigned reading: Engel 3.1——3.2 (ver. 1) Attendance record: I am [a present at or [ ] absent from this class meeting (see date and time above). Name: Chats Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, 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 of everyone who you worked with on this preview in the space above. [1] Born conditions. The quantum wavefunctions l-P(x,t) must satisfy several mathematical conditions to ensure that it represents a possible physical stae. These conditions are called “Born conditions” and three of them are listed on Engel p. 38 (ver. 1): (1) Lll(x,t) be “single—valued", (2) Ll’(x,t) be "continuous", and (3) Llv'()<,t) be “normalizable” (for examples, cannot be infinite). Which of the following are well-behaved over the indicated interval? For those which are NOT, please clearly explain why they are not. To alleviate your workload, iust do (a),(b),(e). _ (all; (i), a?) is} (.1 w 263)“ (941,11) ' (tire-“3mg xx £95m} {c} 1312’” 1.x {0, so) " , - “(by Missile to, m) /. [AW&*%=M,MMWEWMW MIW;MW_ V,- (WSW Jam 75 mic—M1, MW M Wan/W its“ MW 3 ’ ...
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