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Time-dependent schrödinger equation

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Reference no: EM132669646

Using Time-Dependent Schrödinger Equation, we have derived that for any operator Â, its average value satisfies:

d<Â>/dt = (i/?) ?ψ|[H,Â]|ψ? +<∂Â/∂t>

Show that: d/dt=-<∂V^/∂x>

Note that this is a one-dimensional problem, and p^ is the momentum operator with respect to x only. V^ is the potential energy operator and it is a function of x. Interpret this result.

Reference no: EM132669646

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