(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 = 4ma2/πħ. 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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