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Ehrenfest theorem

Differentiating $\langle\psi|O|\psi\rangle$ and using $i\hbar|\dot\psi\rangle=H|\psi\rangle$ and its adjoint gives
$$
\frac d{dt}\langle O\rangle
=\frac i\hbar\langle[H,O]\rangle
+\left\langle\frac{\partial O}{\partial t}\right\rangle.
$$


Proof of Ehrenfest theorem from the Schrodinger equation

Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 4 / 4D / a / Solution

Proof of Ehrenfest theorem from the Schrodinger equation

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Proof of Ehrenfest theorem from the Schrodinger equation

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