# Operators, switching basis.

## Homework Statement

I need to prove that, $$<p'|\hat{x}p> = i\hbar\frac{d}{dp'}\delta{p-p'}$$

i.e. find the position operator in the momentum basis p for p'...

It's easy to prove that $$<x'|\hat{x}x> = <\hat{x}x'|x> = x'<x'|x> = x'\delta{x-x'}$$
(position operator in position basis for x')
since I can use the fact that the operator x is hermitian. But what about for the first problem? Any hints?

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