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Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice

We consider a system of three arbitrary quantum particles on a three-dimensional lattice interacting via attractive pair-contact potentials and attractive potentials of particles at the nearest-neighbor sites. We prove that the Hamiltonian of the corresponding three-particle system has infinitely ma...

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Main Authors: Muminov, M. E., Aliev, N. M.
Format: Article
Published: 2015
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/58315/
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spelling my.utm.583152021-11-03T08:50:39Z http://eprints.utm.my/id/eprint/58315/ Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice Muminov, M. E. Aliev, N. M. Q Science (General) We consider a system of three arbitrary quantum particles on a three-dimensional lattice interacting via attractive pair-contact potentials and attractive potentials of particles at the nearest-neighbor sites. We prove that the Hamiltonian of the corresponding three-particle system has infinitely many eigenvalues. We also list different types of attractive potentials whose eigenvalues can be to the left of the essential spectrum, in a gap in the essential spectrum, and in the essential spectrum of the considered operator. 2015 Article PeerReviewed Muminov, M. E. and Aliev, N. M. (2015) Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice. Theoretical And Mathematical Physics, 182 (3). pp. 381-396. ISSN 4016-25
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science (General)
spellingShingle Q Science (General)
Muminov, M. E.
Aliev, N. M.
Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
description We consider a system of three arbitrary quantum particles on a three-dimensional lattice interacting via attractive pair-contact potentials and attractive potentials of particles at the nearest-neighbor sites. We prove that the Hamiltonian of the corresponding three-particle system has infinitely many eigenvalues. We also list different types of attractive potentials whose eigenvalues can be to the left of the essential spectrum, in a gap in the essential spectrum, and in the essential spectrum of the considered operator.
format Article
author Muminov, M. E.
Aliev, N. M.
author_facet Muminov, M. E.
Aliev, N. M.
author_sort Muminov, M. E.
title Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
title_short Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
title_full Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
title_fullStr Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
title_full_unstemmed Discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
title_sort discrete spectrum of a noncompact pertubation ofa three-particle schrodinger operator on a lattice
publishDate 2015
url http://eprints.utm.my/id/eprint/58315/
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score 13.160551

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