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    • https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Introductory_Quantum_Mechanics_(Fitzpatrick)/03%3A_Fundamentals_of_Quantum_Mechanics/3.04%3A_Ehrenfest's_Theorem
      It follows from the previous equation that \[\begin{aligned} \frac{d\langle p\rangle}{dt} = -{\rm i}\,\hbar\int_{-\infty}^{\infty} \left(\frac{\partial\psi^\ast}{\partial t}\,\frac{\partial\psi}{\part...It follows from the previous equation that \[\begin{aligned} \frac{d\langle p\rangle}{dt} = -{\rm i}\,\hbar\int_{-\infty}^{\infty} \left(\frac{\partial\psi^\ast}{\partial t}\,\frac{\partial\psi}{\partial x} + \psi^\ast\,\frac{\partial^{\,2}\psi}{\partial t\,\partial x}\right)dx= \int_{-\infty}^{\infty}\left[ \left({\rm i}\,\hbar\,\frac{\partial\psi}{\partial t}\right)^\ast\frac{\partial \psi}{\partial x} + \frac{\partial\psi^\ast}{\partial x}\left({\rm i}\,\hbar\,\frac{\partial\psi}{\partial t}…

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