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 af dette arbejde

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

2 Citationer (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.

Originalsprog	Engelsk
Artikelnummer	1650010
Tidsskrift	Reviews in Mathematical Physics
Vol/bind	28
Nummer	5
Antal sider	12
ISSN	0129-055X
DOI	https://doi.org/10.1142/S0129055X16500100
Status	Udgivet - 1 jun. 2016

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10.1142/S0129055X16500100

Citationsformater

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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

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DO - 10.1142/S0129055X16500100

M3 - Journal article

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VL - 28

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

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ER -

Rellich’s theorem and N-body Schrödinger operators

Abstract

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