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The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles

A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of...

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Main Authors: Muminov, Zahriddin, Ismail, Fudziah, Rasulov, Jamshid
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf
http://psasir.upm.edu.my/id/eprint/35701/
http://www.hindawi.com/journals/amp/2014/943868/abs/
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spelling my.upm.eprints.357012016-02-04T00:59:27Z http://psasir.upm.edu.my/id/eprint/35701/ The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles Muminov, Zahriddin Ismail, Fudziah Rasulov, Jamshid A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of the spectrum of the Friedreich model . Moreover, for the resolvent of H, the Faddeev type system of integral equations is obtained. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf Muminov, Zahriddin and Ismail, Fudziah and Rasulov, Jamshid (2014) The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles. Advances in Mathematical Physics, 2014. art. no. 943868. pp. 1-10. ISSN 1687-9120; ESSN: 1687-9139 http://www.hindawi.com/journals/amp/2014/943868/abs/ 10.1155/2014/943868
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of the spectrum of the Friedreich model . Moreover, for the resolvent of H, the Faddeev type system of integral equations is obtained.
format Article
author Muminov, Zahriddin
Ismail, Fudziah
Rasulov, Jamshid
spellingShingle Muminov, Zahriddin
Ismail, Fudziah
Rasulov, Jamshid
The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
author_facet Muminov, Zahriddin
Ismail, Fudziah
Rasulov, Jamshid
author_sort Muminov, Zahriddin
title The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
title_short The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
title_full The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
title_fullStr The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
title_full_unstemmed The Faddeev equation and essential spectrum of a model operator associated with the Hamiltonian of nonconserved number of particles
title_sort faddeev equation and essential spectrum of a model operator associated with the hamiltonian of nonconserved number of particles
publisher Hindawi Publishing Corporation
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf
http://psasir.upm.edu.my/id/eprint/35701/
http://www.hindawi.com/journals/amp/2014/943868/abs/
_version_ 1643831532361613312
score 13.160551

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