The non-self-adjointness of the radial momentum operator inndimensions

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The non-self-adjointness of the radial momentum operator in n dimensions

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 n...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2002

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/35/16/311