Rellich’s theorem and N-body Schrödinger operators

K. Ito; E. Skibsted

doi:10.1142/S0129055X16500100

Rellich’s theorem and N-body Schrödinger operators

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

2 Citations (Scopus)

Abstract

We show an optimal version of Rellich's theorem for generalized N-body Schrödinger 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 [10] and a functional calculus localization technique.

Original language	English
Article number	1650010
Journal	Reviews in Mathematical Physics
Volume	28
Issue	5
Number of pages	12
ISSN	0129-055X
DOIs	https://doi.org/10.1142/S0129055X16500100
Publication status	Published - 1 Jun 2016

Keywords

(Formula presented.)-body Schrödinger operators
minimal non-threshold generalized eigenfunctions

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10.1142/S0129055X16500100

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title = "Rellich{\textquoteright}s theorem and N-body Schr{\"o}dinger operators",

abstract = "We show an optimal version of Rellich's theorem for generalized N-body Schr{\"o}dinger 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 [10] and a functional calculus localization technique.",

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AU - Ito, K.

AU - Skibsted, E.

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N2 - We show an optimal version of Rellich's theorem for generalized N-body Schrödinger 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 [10] and a functional calculus localization technique.

AB - We show an optimal version of Rellich's theorem for generalized N-body Schrödinger 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 [10] and a functional calculus localization technique.

KW - (Formula presented.)-body Schrödinger operators

KW - minimal non-threshold generalized eigenfunctions

U2 - 10.1142/S0129055X16500100

DO - 10.1142/S0129055X16500100

M3 - Journal article

AN - SCOPUS:84978958290

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VL - 28

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

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M1 - 1650010

ER -

Rellich’s theorem and N-body Schrödinger operators

Abstract

Keywords

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