Problem 2.13 A particle in the harmonic oscillator potential starts out in the state ¥(x. 0) = A[3¥o(r)+ 41(x)]. %3D (a) Find A. (b) Construct ¥ (r, t) and [¥(r. t)F. (c) Find (x) and (p). Don’t get too excited if they oscillate at the classical frequency; what would it have been had I specified 2(x), instead of y1(x)? Check that Ehrenfest's theorem (Equation 1.38) holds for this wave function.

Problem 2.13 A particle in the harmonic oscillator potential starts out in the state ¥(x. 0) = A[3¥o(r)+ 41(x)]. %3D (a) Find A. (b) Construct ¥ (r, t) and [¥(r. t)F. (c) Find (x) and (p). Don’t get too excited if they oscillate at the classical frequency; what would it have been had I specified 2(x), instead of y1(x)? Check that Ehrenfest's theorem (Equation 1.38) holds for this wave function.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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