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Newton's second law claims that $F=ma$. In terms of quantum mechanics, the equality can be written as $ \frac{d\langle p \rangle}{dt} = -\langle \nabla V(x) \rangle$. How can I prove this with non-relativistic Schrodinger Equation?

I've calculated the expectation of $p=mv$, and tried to take the derivative under the integral. And there I'm stuck.

arax
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