Chapter 7 Problem Solutions

D 1 erf h1l which mathematica gives as 0157 problem

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Unformatted text preview: = x —êHm wL „x —êHm wL ¬༼ Flip bounds and replace u ¨ -u in former integral therefore Printed by Mathematica for Students 3 - —êHm wL pc.d. = KŸ -¶ 4 +Ÿ ¶ —êHm wL Ch7ProblemSetKey.nb - —êHm wL m w 1ê 2 = I p — M KŸ - -1 1 = +Ÿ ¶ ¶ -u Ÿ1 „ u ‰ p y0 HxL ¶ —êHm wL JŸ -¶ + Ÿ 1 N „ u ‰-u p 2 = O„x 2 O„x‰ - u= m w x2 ¬༼ Let — 2 „u = x —êHm wL „x —êHm wL ¬༼ Flip bounds and replace u ¨ -u in former integral 2 therefore J p í [email protected] - erfH1LD pc.d. = 1 - erf H1L which Mathematica gives as º 0.157. Problem 7.23 We have the harmonic oscillator eigenstate expansion of a coherent state a\ from problem 7.20 a\ = ‰- a 2 ê2 an ⁄¶= 0 n n\ n! Thus X b a\ = B‰= ‰- I a = ‰- I a b...
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This note was uploaded on 02/01/2014 for the course PHYC 491/496 taught by Professor Akimasamiyake during the Fall '13 term at New Mexico.

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