Some spectral properties of a generalized Friedrichs model

We consider self-adjoint generalized Friedrichs model h(p), p ∈ T3 (T3 is the threedimensional torus), in the case where the parameter functions w1 and w2 of this operator has the special forms. These functions has non-degenerate minimum at the several different points. Threshold effects for the con...

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Main Authors: Tulkin Kh Rasulov, Khalim Kh Turdiev
Format: Article
Language:English
Published: Samara State Technical University 2011-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/21028/17286
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author Tulkin Kh Rasulov
Khalim Kh Turdiev
author_facet Tulkin Kh Rasulov
Khalim Kh Turdiev
author_sort Tulkin Kh Rasulov
collection DOAJ
description We consider self-adjoint generalized Friedrichs model h(p), p ∈ T3 (T3 is the threedimensional torus), in the case where the parameter functions w1 and w2 of this operator has the special forms. These functions has non-degenerate minimum at the several different points. Threshold effects for the considering operator are studied depending on the minimum points of w2.
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spelling doaj.art-9393b4b3a9bd474a995188b96fe7bb442022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-06-0115218118818445Some spectral properties of a generalized Friedrichs modelTulkin Kh Rasulov0Khalim Kh Turdiev1Bukhara State University, Physics and Mathematics FacultyUniversity of Bern, Faculty of ScienceWe consider self-adjoint generalized Friedrichs model h(p), p ∈ T3 (T3 is the threedimensional torus), in the case where the parameter functions w1 and w2 of this operator has the special forms. These functions has non-degenerate minimum at the several different points. Threshold effects for the considering operator are studied depending on the minimum points of w2.https://journals.eco-vector.com/1991-8615/article/viewFile/21028/17286generalized friedrichs modelzero energy resonanceeigenvaluefredholm determinant
spellingShingle Tulkin Kh Rasulov
Khalim Kh Turdiev
Some spectral properties of a generalized Friedrichs model
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
generalized friedrichs model
zero energy resonance
eigenvalue
fredholm determinant
title Some spectral properties of a generalized Friedrichs model
title_full Some spectral properties of a generalized Friedrichs model
title_fullStr Some spectral properties of a generalized Friedrichs model
title_full_unstemmed Some spectral properties of a generalized Friedrichs model
title_short Some spectral properties of a generalized Friedrichs model
title_sort some spectral properties of a generalized friedrichs model
topic generalized friedrichs model
zero energy resonance
eigenvalue
fredholm determinant
url https://journals.eco-vector.com/1991-8615/article/viewFile/21028/17286
work_keys_str_mv AT tulkinkhrasulov somespectralpropertiesofageneralizedfriedrichsmodel
AT khalimkhturdiev somespectralpropertiesofageneralizedfriedrichsmodel