lecture_26_notes - {3- node: uh WK :- n-H “L as“:...

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Unformatted text preview: {3- node: uh WK :- n-H “L as“: E““—E"°‘ @+\\L-n7‘ Curd aha/Q. °< lee. Cu’dfl’ wow: Cg“ En {3-9.} { “kl! Me: ® in §I!Q){ n \n LP Cong-u“. NRA.“ 0- #- (19"; "~ No". and“; at.” can (‘97 \c' A Musk“. PG¢*‘\=.\¢ \<‘ LQNFLAQ&~ 0.0: h!“ onym cw baited“ G—gfh a? L26-2 For a particle in a square box, as n becomes larger , the probability of finding the particle at a given x between 0 and L becomes (A) more concentrated near the middle of the well (B) more concentrated near the walls @nore uniform between 0 and L .. OJ bow“ NE W IN" Ext“? clowns“, l /\ A CorQIQMAMCQ 3 M I fnnwfit‘. 5") “ 7"“ A+ ‘oryt. h, 7.. a eye‘s-JG” dam ed 2‘ ‘ QnA-c-‘V‘m ._ be [‘01 {A a let-91. V\ wot-kl! 6-0019" U“ H armonCé D$\~\\o:\v~ Eq' "'- El; 43:; bin“? : a a E“: Ln *éB'h‘u.’ “a: u.=\fig L26-3 For a particle in harmonic potential U = 1/2 k x2, what value of x corresponds to U(x) = Er1 for n large, where En == nhco? (A) xn = (2En/k)“2 En: ii h“ f- (B) xn = (2nhco/k)“2 K“; 2. n (C) both (A) and (B) T ‘- 9- n‘Hu. t; ‘z. Xe. 3-- R n'k {é [a : 1 n ‘R “'7 6: x2” Luke.“ 1L ont=iku‘ X0:- C.\ou'.nlq\ Wave Functions for the Harmonic Oscillator limo!2 |w(x)l2 l¢'(x)l2 |¢(x)|2 . —A . 0 . A . As n Increases, En Increases, A Increases, wave function spreads out, and particle distribution approaches classical expectation. E,M _ E ... a a CT““ \90th1 +mn-I'sficn: beg-Ugo.“ btvn‘ a. Unbavd awn; [.0 Fun“! LJclI I") T. UnkmnH-and loucu, we. ‘11 Lanna“, “war 7, shw 2. - i Laue“ i as esu ’— t 3 9’: ca 1-: z: n?- manthJ-I- .. (9 OJ. S'Nf'i'ufl VF \\9|'U- -- amch Rut-ca. l 'h‘“ M ‘9 ‘2.qu- 8 an; a; If! 'v“ FO’ btg 5+muk§ed Us $can-‘rom2out {mumm' W (In? = op'huJ \nk-de, EC” ear (-1, e:- 0.5/5 $1“th be 5:3 ahMI,¢,(: g. WL7V| ® CaJ'G, (Fa bry—Perot interferometer) "-5.1, in. --~ '04“, Cefl'én UHUC\QI’M (“x ’51-) kn“ “flu-Cur: (cu-u}, d. 1‘dc 5‘, 1. Of“) flwhns em, all“) Can» 6nd: will as, m CMV\“>L be. Mekfica by show. «mu. ._ soon-L ct‘Ml‘J' \n a“ dwr.’ Vuv Iahle flu): \‘A an“). - Coo“, he‘s“ $+\H. E. d. amp 0: ‘7‘“.tfl-m E. alga, 6“er ...
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This note was uploaded on 03/31/2009 for the course PHYS 214 taught by Professor Thorne during the Spring '08 term at Cornell University (Engineering School).

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lecture_26_notes - {3- node: uh WK :- n-H “L as“:...

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