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[tex]\langle x'|\hat{p} \hat{x} | x \rangle[/tex].

Are these steps correct?

1. [tex]\hat{x}[/tex] operates on the x eigenstate to get

[tex]\langle x'|\hat{p} x | x \rangle[/tex].

2. x is a c-number so can be pulled out to get

[tex]x \langle x'|\hat{p} | x \rangle[/tex].

3. [tex]x \langle x'|\hat{p} | x \rangle = x \frac{\partial}{\partial x'}\delta (x'-x)[/tex]

The part I'm most wary on is 2 where I pulled x out. It seems like the p operator is acting on it so I shouln't be able to do that.

Alternatively, could I do the following:

1. have p operate on [tex]\hat{x}[/tex] first to get

[tex] \frac{\partial}{\partial x'}x' \delta (x'-x)[/tex]

2. Which becomes

[tex] \delta (x'-x) + x' \delta'(x'-x)[/tex]

Is one of these two routes incorrect?

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# Homework Help: More operator questions

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