Show that satisfies the time-dependent Schrdinger equation for a particle in a uniform gravitational field, where

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Show that

satisfies the time-dependent Schrödinger equation for a particle in a uniform gravitational field,

where Ψ0 (x,t) is the free gaussian wave packet (Equation 2.111). Find (x) as a function of time, and comment on the result.

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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