Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 2(27), Pages 34–43
DOI: https://doi.org/10.14498/vsgtu981 (Mi vsgtu981) 		 
Functional Analysis

Structure of the essential spectrum of a model operator associated to a system of three particles on a lattice

T. H. Rasulov

Bukhara State University, Bukhara, Uzbekistan
Full-text PDF (177 kB)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu981
Abstract: We consider a model operator $H$ associated to a system of three particles interacting via nonlocal pair potentials on a three dimensional lattice. The existence conditions of the eigenvalues of a corresponding Friedrichs model are found and the structure of the essential spectrum of $H$ is studied.
Keywords: model operator, nonlocal potential, essential spectrum, Friedrichs model, eigenvalue, Fredholm determinant.
Original article submitted 13/VII/2011
revision submitted – 27/III/2012
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: Primary 81Q10; Secondary 35P20, 47N50
Language: Russian
Citation: T. H. Rasulov, “Structure of the essential spectrum of a model operator associated to a system of three particles on a lattice”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 34–43
Citation in format AMSBIB
\Bibitem{Ras12}
\by T.~H.~Rasulov
\paper Structure of the essential spectrum of a model operator associated to a system of three particles on a~lattice
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 2(27)
\pages 34--43
\mathnet{http://mi.mathnet.ru/vsgtu981}
\crossref{https://doi.org/10.14498/vsgtu981}
\zmath{https://zbmath.org/?q=an:1326.81076}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu981
  • https://www.mathnet.ru/eng/vsgtu/v127/p34
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025