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Zap. Nauchn. Sem. POMI, 2010, Volume 374, Pages 5–27 (Mi znsl3591)  

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

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.

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English version:
Journal of Mathematical Sciences (New York), 2010, 168:6, 759–771

UDC: 517.9
Received: 12.01.2010

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}


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