# How to Prove Momentum Operator is Hermite Operator?

by Karmerlo
Tags: hermite operator, momentum operator
 P: 14 Hi, I have little trouble in proving a proving problem --- How to Prove Momentum Operator is Hermite Operator? Thanks.
 Sci Advisor P: 869 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).
 HW Helper Sci Advisor P: 11,720 Whether the momentum operator for a particle in 1D is self-adjoint or not is a matter of boundary conditions. See the discussion from pages 1-3 from http://www.hep.caltech.edu/~fcp/math.../linDiffEq.pdf

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