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So the problem is find <x> in P space.

The solution's logic is use formula:

The submit with

Then one will get the integral

by noticing that , one can replace xe^{ipx/ħ}in the integral

so that

and then after solving the integral one can find the expectation value for x.

The part I don't understand is why , firstly I am not sure where is the minus sign comes from. Next I don't think I can just change the order of e^{ipx/ħ}and Φ because the term d/dp.

Could anyone help me figure the integral out?

Thank you everybody.

Shell

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# I Problem during finding <x> in p space

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