Spinor bose condensate and the su(1,1) Richardson model

We consider a dilute gas of trapped bosonic atoms with hyperfine spin F = 1 that interacts with the classical laser field. In the single mode approximation, the Hamiltonian of the model may be expressed in terms of the boson realization of the su(1, 1) algebra. The model is solved by the Algebraic Bethe Ansatz approach. Bibliography: 15 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 317, 2004, pp. 43–56.