a) Show that the wave function returns to its original form after a time T = 4ma2/πℏ, i.e., Ψ(psi)(x, T) = Ψ(psi)(x, 0) for any state (not just stationary states). b) What would be the classical equivalent of T, for a particle of energy E that bounces periodically between the walls of potential?
a) Show that the wave function returns to its original form after a time T = 4ma2/πℏ, i.e., Ψ(psi)(x, T) = Ψ(psi)(x, 0) for any state (not just stationary states). b) What would be the classical equivalent of T, for a particle of energy E that bounces periodically between the walls of potential?
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Suppose a particle of mass m is attached to a well of infinite potential.
a) Show that the wave function returns to its original form after a time T = 4ma2/πℏ, i.e.,
Ψ(psi)(x, T) = Ψ(psi)(x, 0) for any state (not just stationary states).
b) What would be the classical equivalent of T, for a particle of energy E that bounces periodically between
the walls of potential?
c) For what energy are both times (classical and quantum) equal?
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