Consider the time-dependent ground state wave function Ψ(x,t ) for a quantum particle confined to an impenetrable box.
(a) Show that the real and imaginary parts of Ψ(x,t) , separately, can be written as the sum of two travelling waves.
(b) Show that the decompositions in part (a) are consistent with your understanding of the classical behavior of a particle in an impenetrable box.
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