Geometric parametrices and the many-body Birman-Schwinger principle
type: Item
instance of: scholarly article
title: Geometric parametrices and the many-body Birman-Schwinger principle
zbMATH Open document ID: 0543.47044
DOI: 10.1215/S0012-7094-83-05023-8
published in: Duke Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The spectral properties of N-body Schrödinger operators are studied using the resolvent equations of Fredholm type and certain geometric constructions. The estimation of the number of bound states are given and effectively applied for certain short-range interactions. The exponential bounds on eigenfunctions are discussed also.
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 3863933
zbMATH Keywords: geometric parametrices
zbMATH Keywords: many-body Birman-Schwinger principle
zbMATH Keywords: spectral properties of N-body Schrödinger operators
zbMATH Keywords: resolvent equations of Fredholm type
zbMATH Keywords: estimation of the number of bound states
zbMATH Keywords: short-range interactions
author: I. M. Sigal
reviewed by: Robert Alicki
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3863933