Geodesic
Spinor Bose condensate and $\mathrm{su}(1,1)$ Richardson model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 43-56

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A dilute gas of trapped bosonic atoms with hyperfine spin $F=1$ interacting with the classical laser field is considered. In the single mode approximation the Hamiltonian of the model may be expressed in terms of the boson realization of the $\mathrm{su}(1,1)$ algebra. The model is solved by the Algebraic Bethe Ansatz approach. 
@article{ZNSL_2004_317_a2,
     author = {N. M. Bogolyubov},
     title = {Spinor {Bose} condensate and  $\mathrm{su}(1,1)$ {Richardson} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {43--56},
     publisher = {mathdoc},
     volume = {317},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a2/}
}
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N. M. Bogolyubov. Spinor Bose condensate and  $\mathrm{su}(1,1)$ Richardson model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 43-56. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a2/