Given a stationary state(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

H \psi = E \psi \Rightarrow \left(-\frac{\hbar^2}{2m}\frac{\partial^2}{\partial x^2} + V(x)\right)\psi = E\psi

[/tex]

Firstly is it true that

[tex]

\left<p\right> = \frac{\hbar}{i}\int\psi^* \frac{\partial \psi}{\partial x} dx= 0

[/tex] ??

If it is, how do we prove it?

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# Is the expectation value of momentum of a stationary state zero?

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