Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 3, Pages 518–527
DOI: https://doi.org/10.4213/tmf6107 (Mi tmf6107) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Discrete spectrum of a model operator in Fock space

T. H. Rasulov

A. Navoi Samarkand State University
Full-text PDF (397 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6107
Abstract: We consider a model describing a "truncated" operator (truncated with respect to the number of particles) acting in the direct sum of zero-, one-, and two-particle subspaces of a Fock space. Under some natural conditions on the parameters specifying the model, we prove that the discrete spectrum is finite.
Keywords: discrete spectrum, Fock space, compact operator, continuity in the uniform operator topology, Hilbert–Schmidt operator, Weinberg equation.
Received: 06.11.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 3, Pages 1313–1321
DOI: https://doi.org/10.1007/s11232-007-0115-z
Bibliographic databases:
Language: Russian
Citation: T. H. Rasulov, “Discrete spectrum of a model operator in Fock space”, TMF, 152:3 (2007), 518–527; Theoret. and Math. Phys., 152:3 (2007), 1313–1321
Citation in format AMSBIB
\Bibitem{Ras07}
\by T.~H.~Rasulov
\paper Discrete spectrum of a~model operator in Fock space
\jour TMF
\yr 2007
\vol 152
\issue 3
\pages 518--527
\mathnet{http://mi.mathnet.ru/tmf6107}
\crossref{https://doi.org/10.4213/tmf6107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2402249}
\zmath{https://zbmath.org/?q=an:1131.81012}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2007TMP...152.1313R}
\elib{https://elibrary.ru/item.asp?id=9918140}
\transl
\jour Theoret. and Math. Phys.
\yr 2007
\vol 152
\issue 3
\pages 1313--1321
\crossref{https://doi.org/10.1007/s11232-007-0115-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000249733400009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34748812506}
Linking options:
  • https://www.mathnet.ru/eng/tmf6107
  • https://doi.org/10.4213/tmf6107
  • https://www.mathnet.ru/eng/tmf/v152/i3/p518
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:380
    Full-text PDF :194
    References:45
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024