The non-self-adjointness of the radial momentum operator in n dimensions
نویسنده
چکیده
The non self-adjointness of the radial momentum operator has been noted before by several authors, but the various proofs are incorrect. We give a rigorous proof that the n-dimensional radial momentum operator is not self-adjoint and has no selfadjoint extensions. The main idea of the proof is to show that this operator is unitarily equivalent to the momentum operator on L[(0,∞), dr] which is not self-adjoint and has no self-adjoint extensions.
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