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1, Show that the real and imaginary parts (separately) of the time-dependent ground state wave function...

1, Show that the real and imaginary parts (separately) of the time-dependent ground state wave function psi(x,t) for a particle confined to an impenetrable box can be written as a linear combination of two traveling waves.

2, Show the decomposition in (1) is consistent with the classical behavior of a particle in an impenetrable box.

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