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


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2014/943868
Publisher: Hindawi Publishing Corporation
Keywords: Faddeev equation; Spectrum of a model operator; Hamiltonian; Nonconserved number of particles
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 04 Feb 2016 00:59
Last Modified: 04 Feb 2016 00:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/943868
URI: http://psasir.upm.edu.my/id/eprint/35701
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