The most general wave function of a particle in the simple harmonic oscillator potential is Show that
Question:
The most general wave function of a particle in the simple harmonic oscillator potential is
Show that the expectation value of position is
where the real constants C and ϕ are given by
Thus the expectation value of position for a particle in the harmonic oscillator oscillates at the classical frequency ω (as you would expect from Ehrenfest’s theorem; see problem 3.19(b)). Use Equation 3.114. As an example, find C and ϕ for the wave function in Problem 2.40.
Problem 3.19(b)
For any (normalized) wave packet representing a particle in the harmonic oscillator potential
Equation 3.114
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Using Equation 3114 In the last step I used Noting that n ki...View the full answer
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Related Book For 
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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