Rellich's theorem and N-body Schrodinger operators

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.

11 pp

References in corpus (1)

• Absence of Quantum States Corresponding to Unstable Classical Channels