Is the Radial Momentum Operator Hermitian?

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SUMMARY

The radial momentum operator is confirmed to be Hermitian when considering the momentum conjugate to the radial coordinate r. The proof involves sandwiching the operator between two wavefunctions and applying integration by parts, taking into account the integration measure that includes a factor of r². This ensures that the operator satisfies the necessary conditions for Hermiticity in quantum mechanics.

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Does anyone has proof of radial momentum operator as an Hermitian operator? Thanks.
 
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By the radial momentum operator you mean the momentum conjugate to r? Sandwich it between two wavefunctions, integrate by parts, and all should work out. Remember the integration measure contains a factor of r^2.
 

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