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, 2009, Volume 159, Number 2, Pages 299–317
DOI: https://doi.org/10.4213/tmf6350
(Mi tmf6350)
 

This article is cited in 15 scientific papers (total in 15 papers)

The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

M. I. Muminov

A. Navoi Samarkand State University
References:
Abstract: We consider a system of three arbitrary quantum particles on a three-dimensional lattice that interact via attractive pair contact potentials. We find a condition for a gap to appear in the essential spectrum and prove that there are infinitely many eigenvalues of the Hamiltonian of the corresponding three-particle system in this gap.
Keywords: three-particle system on a lattice, Schrödinger operator, essential spectrum, discrete spectrum, compact operator.
Received: 14.02.2008
Revised: 22.08.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 2, Pages 667–683
DOI: https://doi.org/10.1007/s11232-009-0054-y
Bibliographic databases:
Language: Russian
Citation: M. I. Muminov, “The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice”, TMF, 159:2 (2009), 299–317; Theoret. and Math. Phys., 159:2 (2009), 667–683
Citation in format AMSBIB
\Bibitem{Mum09}
\by M.~I.~Muminov
\paper The~infiniteness of the~number of eigenvalues in the~gap in the~essential spectrum for the~three-particle Schr\"odinger operator on a~lattice
\jour TMF
\yr 2009
\vol 159
\issue 2
\pages 299--317
\mathnet{http://mi.mathnet.ru/tmf6350}
\crossref{https://doi.org/10.4213/tmf6350}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2567343}
\zmath{https://zbmath.org/?q=an:1173.81007}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...159..667M}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 159
\issue 2
\pages 667--683
\crossref{https://doi.org/10.1007/s11232-009-0054-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269080500009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350029465}
Linking options:
  • https://www.mathnet.ru/eng/tmf6350
  • https://doi.org/10.4213/tmf6350
  • https://www.mathnet.ru/eng/tmf/v159/i2/p299
  • This publication is cited in the following 15 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:572
    Full-text PDF :241
    References:87
    First page:7
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024