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TMF, 2009, Volume 161, Number 2, Pages 164–175 (Mi tmf6429)  

This article is cited in 1 scientific paper (total in 1 paper)

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

T. H. Rasulov

Samarkand State University, Samarkand, Uzbekistan

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

DOI: https://doi.org/10.4213/tmf6429

Full text: PDF file (409 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 161:2, 1460–1470

Bibliographic databases:

Received: 17.11.2008
Revised: 12.02.2009

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
\Bibitem{Ras09}
\by T.~H.~Rasulov
\paper Investigation of the~spectrum of a~model operator in a~Fock space
\jour TMF
\yr 2009
\vol 161
\issue 2
\pages 164--175
\mathnet{http://mi.mathnet.ru/tmf6429}
\crossref{https://doi.org/10.4213/tmf6429}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2667343}
\zmath{https://zbmath.org/?q=an:1183.81066}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 2
\pages 1460--1470
\crossref{https://doi.org/10.1007/s11232-009-0133-0}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000272664400003}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71949088434}


Linking options:
  • http://mi.mathnet.ru/eng/tmf6429
  • https://doi.org/10.4213/tmf6429
  • http://mi.mathnet.ru/eng/tmf/v161/i2/p164

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    Citing articles on Google Scholar: Russian citations, English citations
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    Erratum

    This publication is cited in the following articles:
    1. T. H. Rasulov, “Study of the essential spectrum of a matrix operator”, Theoret. and Math. Phys., 164:1 (2010), 883–895  mathnet  crossref  crossref  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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