Show that for time-independent potentials the solutions of the time-dependent Schrödinger equation can always be written

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answerhappygod
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Show that for time-independent potentials the solutions of the time-dependent Schrödinger equation can always be written

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Show that for time-independent potentials the solutions of thetime-dependent Schrödinger
equation can always be written as the product y(r,t) = f(r) g(t)of two functions. What is the form
of g(t) for a constant total energy of the particle?
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