The Efimov effect and an extended Szegő-Kac limit theorem
type: Item
instance of: scholarly article
title: The Efimov effect and an extended Szegő-Kac limit theorem
zbMATH Open document ID: 0903.45003
DOI: 10.1023/A:1007466105600
author: S. N. Lakaev
author: K. A. Makarov
author: S. Albeverio
published in: Letters in Mathematical Physics
publication date: 1998-08-10T00:00:00Z
review text: This study is motivated by the Efimov effect in the three-body problem. The aim of the paper is to compute the preexponential factor in the asymptotic distribution of a certain sequence which appears in the Faddeev approach to the problem. To do this the authors study the Fredholm determinant asymptotics of convolution operators on finite intervals with rational symbols having real zeros. The extension of the Szegő-Kac-Ahiezer formula to symbols with real zeros is obtained.
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 1154677
zbMATH Keywords: three-body problem
zbMATH Keywords: Efimov effect
zbMATH Keywords: Wiener-Hopf operators
zbMATH Keywords: Fredholm determinants
zbMATH Keywords: convolution operators
zbMATH Keywords: rational symbols
zbMATH Keywords: Szegő-Kac limit theorem
MaRDI profile type: Publication
full work available at URL: a:1007466105600
OpenAlex ID: W134792766
description: scientific article; zbMATH DE number 1154677