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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 2, Pages 164–175
DOI: https://doi.org/10.4213/tmf6429 (Mi tmf6429) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Investigation of the spectrum of a model operator in a Fock space

T. H. Rasulov

Samarkand State University, Samarkand, Uzbekistan
Full-text PDF (409 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6429
Abstract: We consider a model operator H corresponding to a quantum system with a nonconserved finite number of particles on a lattice. Based on an analysis of the spectrum of the channel operators, we describe the position of the essential spectrum of H. We obtain a Faddeev-type equation for the eigenvectors of H.
Keywords: model operator, system with nonconserved finite number of particles, Faddeev equation, essential spectrum, channel operator.
Received: 17.11.2008
Revised: 12.02.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1460–1470
DOI: https://doi.org/10.1007/s11232-009-0133-0
Bibliographic databases:
Language: Russian
Citation: T. H. Rasulov, “Investigation of the spectrum of a model operator in a Fock space”, TMF, 161:2 (2009), 164–175; Theoret. and Math. Phys., 161:2 (2009), 1460–1470
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6429
  • https://www.mathnet.ru/eng/tmf/v161/i2/p164
    Erratum
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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