Rellich's theorem and N-body Schrodinger operators

Published 24 Feb 2016 in math-ph, math.FA, and math.MP | (1602.07493v1)

Abstract: We show an optimal version of the Rellich theorem for generalized many-body Schrodinger operators. It applies to singular potentials, in particular to a model for atoms and molecules with infinite mass and finite extent nuclei. Our proof relies on a Mourre estimate and a functional calculus localization technique.

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