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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 374, 2010, pp. 5–27.
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Abarenkova, N.I., Bogoliubov, N.M. Solution of an integrable model of the spinor Bose–Einstein condensate with dipole-dipole interaction. J Math Sci 168, 759–771 (2010). https://doi.org/10.1007/s10958-010-0024-9
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DOI: https://doi.org/10.1007/s10958-010-0024-9