Rellich's theorem and N-body Schrodinger operators

E. Skibsted; K. Ito

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Rellich's theorem and N-body Schrodinger operators

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arxiv 1602.07493 v1 pith:U2YFBCQF submitted 2016-02-24 math-ph math.FAmath.MP

Rellich's theorem and N-body Schrodinger operators

K. Ito , E. Skibsted This is my paper

classification math-ph math.FAmath.MP

keywords operatorsrellichschrodingertheoremappliesatomscalculusestimate

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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.

Rellich's theorem and N-body Schrodinger operators

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