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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35701/ http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf |
| _version_ | 1848848128140115968 |
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| author | Muminov, Zahriddin Ismail, Fudziah Rasulov, Jamshid |
| author_facet | Muminov, Zahriddin Ismail, Fudziah Rasulov, Jamshid |
| author_sort | Muminov, Zahriddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:29:34Z |
| format | Article |
| id | upm-35701 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:29:34Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/35701/ http://psasir.upm.edu.my/id/eprint/35701/ http://psasir.upm.edu.my/id/eprint/35701/ http://psasir.upm.edu.my/id/eprint/35701/1/The%20Faddeev%20Equation%20and%20the%20Essential%20Spectrum%20of.pdf |