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

We solve a model which describes internal degrees of freedom of the spinor Bose–Einstein condensate with dipole-dipole interaction up to its eigenstates and eigenvalues. A representation of the Hamiltonian of the model in terms of generators of the su(1, 1) algebra allows one to develop the quantum...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-08, Vol.168 (6), p.759-771
Main Authors: Abarenkova, N. I., Bogoliubov, N. M.
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
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Summary:We solve a model which describes internal degrees of freedom of the spinor Bose–Einstein condensate with dipole-dipole interaction up to its eigenstates and eigenvalues. A representation of the Hamiltonian of the model in terms of generators of the su(1, 1) algebra allows one to develop the quantum inverse method for its study. The method of solution provides a general framework within which many related problems can be solved similarly. Bibliography: 15 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-010-0024-9