This might be trivial for some people but this has been bothering lately.(adsbygoogle = window.adsbygoogle || []).push({});

If P is momentum operator and p its eigenvalue then the eigenfunction is u_{p}(x) = exp(ipx/h). where h is the reduced Planck constant (sorry cant find a way to make the proper notation).

While it can also be proved that <x|p> = exp(ipx/h) (omitting constant pre factor), where |p> is also momentum operator eigenfunction in different notation, in this sense one would say that u_{p}(x) = |p>. But why is <x|p> = u_{p}(x) instead?

I will appreciate anyone who is trying to enlighten me in this problem. Thanks in advance.

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# Momentum operator eigenfunction

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