Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 5–27 (Mi znsl3591)  
This article is cited in 1 scientific paper (total in 1 paper)

Solution of the integrable model of the spinor Bose–Einstein condensate with the dipole-dipole interaction

N. I. Abarenkova, N. M. Bogoliubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
Full-text PDF (276 kB) Citations (1)
References:
PDF
HTML
Abstract: The model that describes the internal degrees of freedom of the spinor Bose–Einstein condensate with dipole-dipole interaction is solved up to its eigenstates and eigenvalues. The representation of the Hamiltonian of the model in terms of generators of $su(1,1)$ algebra allowed to develop the quantum inverse method for its investigation. The method of solution provides a general framework within which many related problems can similarly be solved. Bibl. – 16 titles.
Key words and phrases: integrable models, Bose–Einstein condensate.
Received: 12.01.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 6, Pages 759–771
DOI: https://doi.org/10.1007/s10958-010-0024-9
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. I. Abarenkova, N. M. Bogoliubov, “Solution of the integrable model of the spinor Bose–Einstein condensate with the dipole-dipole interaction”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 5–27; J. Math. Sci. (N. Y.), 168:6 (2010), 759–771
Citation in format AMSBIB
\Bibitem{AbaBog10}
\by N.~I.~Abarenkova, N.~M.~Bogoliubov
\paper Solution of the integrable model of the spinor Bose--Einstein condensate with the dipole-dipole interaction
\inbook Questions of quantum field theory and statistical physics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 374
\pages 5--27
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3591}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 6
\pages 759--771
\crossref{https://doi.org/10.1007/s10958-010-0024-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955277542}
Linking options:
  • https://www.mathnet.ru/eng/znsl3591
  • https://www.mathnet.ru/eng/znsl/v374/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:321
    Full-text PDF :106
    References:48
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024