How to Prove Momentum Operator is Hermite Operator?

1. Karmerlo

14
Hi, I have little trouble in proving a proving problem ---

How to Prove Momentum Operator is Hermite Operator?

Thanks.

2. haushofer

1,067
Apply the definition of a Hermitian operator on the inner product (which is an integral), do a partial integration and use that wave functions have to be in L2 (and thus have certain boundary conditions at infinity).

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