Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 86–94
DOI: https://doi.org/10.4213/mzm4337 (Mi mzm4337) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian

T. H. Rasulov

A. Navoi Samarkand State University
Full-text PDF (452 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4337
Abstract: In this paper, we study the essential spectrum of a model lattice Hamiltonian describing a system with fluctuating number of particles ($0\le n\le2$) in the quasimomentum representation. The spectral properties are described in terms of the boundary values of a function of a complex variable, whose meaning is that of the kernel of the Schur complement
$$ H_{11}-z-H_{12}(H_{22}-z)^{-1}H_{12}^*. $$
Keywords: Schur complement, quasimomentum representation, many-body problem, fluctuating number of particles, essential spectrum.
Received: 20.03.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 80–87
DOI: https://doi.org/10.1134/S0001434608010100
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: T. H. Rasulov, “On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian”, Mat. Zametki, 83:1 (2008), 86–94; Math. Notes, 83:1 (2008), 80–87
Citation in format AMSBIB
\Bibitem{Ras08}
\by T.~H.~Rasulov
\paper On the Structure of the Essential Spectrum of a Model Many-Body Hamiltonian
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 1
\pages 86--94
\mathnet{http://mi.mathnet.ru/mzm4337}
\crossref{https://doi.org/10.4213/mzm4337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2400001}
\zmath{https://zbmath.org/?q=an:1156.47061}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 1
\pages 80--87
\crossref{https://doi.org/10.1134/S0001434608010100}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000254056300010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-48849091796}
Linking options:
  • https://www.mathnet.ru/eng/mzm4337
  • https://doi.org/10.4213/mzm4337
  • https://www.mathnet.ru/eng/mzm/v83/i1/p86
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:481
    Full-text PDF :202
    References:68
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024