The Faddeev equation and location of the essential spectrum of a three-particle model operator

In this paper a model operator H associated to a system of three-particles on a lattice is considered. The location of the essential spectrum of H is described by the spectrum of channel operators. The Faddeev type equation for the eigenvectors of H is obtained.

Bibliographic Details
Main Authors:	A. A. Rakhmonov, T. Kh. Rasulov
Format:	Article
Language:	English
Published:	Samara State Technical University 2011-06-01
Series:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:	http://mi.mathnet.ru/eng/vsgtu903

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spelling	doaj-8604bcfe7d59427099003181ba16099c2020-11-25T01:16:35ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-06-012(23)17018010.14498/vsgtu903 The Faddeev equation and location of the essential spectrum of a three-particle model operator A. A. RakhmonovT. Kh. Rasulov In this paper a model operator H associated to a system of three-particles on a lattice is considered. The location of the essential spectrum of H is described by the spectrum of channel operators. The Faddeev type equation for the eigenvectors of H is obtained.http://mi.mathnet.ru/eng/vsgtu903
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. A. Rakhmonov T. Kh. Rasulov
spellingShingle	A. A. Rakhmonov T. Kh. Rasulov The Faddeev equation and location of the essential spectrum of a three-particle model operator Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet	A. A. Rakhmonov T. Kh. Rasulov
author_sort	A. A. Rakhmonov
title	The Faddeev equation and location of the essential spectrum of a three-particle model operator
title_short	The Faddeev equation and location of the essential spectrum of a three-particle model operator
title_full	The Faddeev equation and location of the essential spectrum of a three-particle model operator
title_fullStr	The Faddeev equation and location of the essential spectrum of a three-particle model operator
title_full_unstemmed	The Faddeev equation and location of the essential spectrum of a three-particle model operator
title_sort	faddeev equation and location of the essential spectrum of a three-particle model operator
publisher	Samara State Technical University
series	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn	1991-8615 2310-7081
publishDate	2011-06-01
description	In this paper a model operator H associated to a system of three-particles on a lattice is considered. The location of the essential spectrum of H is described by the spectrum of channel operators. The Faddeev type equation for the eigenvectors of H is obtained.
url	http://mi.mathnet.ru/eng/vsgtu903
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The Faddeev equation and location of the essential spectrum of a three-particle model operator

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