<x|p>, something my professor wanted to do in class today.(adsbygoogle = window.adsbygoogle || []).push({});

She then jumped from <x|p> to evaluating <x|p|p> (not sure why).

So now we have <x|pI|p> with the middle p and I being momentum and identity operators respectively.

This is Integral{<x|p|x'><x'|x>}dx'.

I buy all of this, but here's where I don't understand. She claims <x|p|x'>=-i*hbar*DeltaFunction(x-x')*d/dx and that doesn't make much sense to me, though that may be because I'm still pretty unfamiliar with Dirac notation. Where did the delta function pop out from?

Can anybody enlighten me? Thanks.

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# Momentum in x-basis?

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