(a) Show that the wave function of a particle in the infinite square well returns to its...

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(a) Show that the wave function of a particle in the infinite square well returns to its original form after a quantum revival time T = 4mα2/πћ. That is: Ψ (x,T) = Ψ (x,0) for any state (not just a stationary state).

(b) What is the classical revival time, for a particle of energy E bouncing back and forth between the walls?

(c) For what energy are the two revival times equal?

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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