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This Quantum World/Implications and applications/Time independent Schrödinger equation
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Time-independent Schrödinger equation
If the potential V does not depend on time, then the Schrödinger equation has solutions that are products of a time-independent function and a time-dependent phase factor :
Because the probability density is independent of time, these solutions are called stationary.
Plug into
to find that satisfies the time-independent Schrödinger equation
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