Loading [MathJax]/jax/output/CommonHTML/jax.js
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, 2012, Volume 170, Number 3, Pages 409–422
DOI: https://doi.org/10.4213/tmf6775 (Mi tmf6775) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

Yu. Kh. Eshkabilov, R. R. Kucharov

Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (454 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6775
Abstract: We study the position of the essential spectrum of a three-body Schrödinger operator H. We evaluate the lower boundary of the essential spectrum of H and prove that the number of eigenvalues located below the lower edge of the essential spectrum in the H model is finite.
Keywords: essential spectrum, discrete spectrum, lower boundary of the essential spectrum, Schrödinger operator.
Received: 01.04.2011
Revised: 01.07.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 341–353
DOI: https://doi.org/10.1007/s11232-012-0034-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Kh. Eshkabilov, R. R. Kucharov, “Essential and discrete spectra of the three-particle Schrödinger operator on a lattice”, TMF, 170:3 (2012), 409–422; Theoret. and Math. Phys., 170:3 (2012), 341–353
Citation in format AMSBIB
\Bibitem{EshKuc12}
\by Yu.~Kh.~Eshkabilov, R.~R.~Kucharov
\paper Essential and discrete spectra of the~three-particle Schr\"odinger operator on a~lattice
\jour TMF
\yr 2012
\vol 170
\issue 3
\pages 409--422
\mathnet{http://mi.mathnet.ru/tmf6775}
\crossref{https://doi.org/10.4213/tmf6775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3168849}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...170..341E}
\elib{https://elibrary.ru/item.asp?id=20732433}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 3
\pages 341--353
\crossref{https://doi.org/10.1007/s11232-012-0034-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303456600007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860359320}
Linking options:
  • https://www.mathnet.ru/eng/tmf6775
  • https://doi.org/10.4213/tmf6775
  • https://www.mathnet.ru/eng/tmf/v170/i3/p409
    • This publication is cited in the following 6 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:667
    Full-text PDF :215
    References:120
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025