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

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.