Algebraic Bethe anzatz and the Tavis–Cummings model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 66-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The $N$-atoms-radiation-field model is solved for its eigenvalues and eigenstates by the Algebraic Bethe anzatz and the comparison with the traditional approach is established. The eigenenergies and the amplitudes of the wave function are expressed through the solutions of the Bethe equations. The determinant representation of the norms of the wave functions and of the expectation values are obtained. The algebraic approach establish the connections of the cinsidered model with the other exactly solvable models.
@article{ZNSL_1997_245_a3,
     author = {N. M. Bogolyubov},
     title = {Algebraic {Bethe} anzatz and the {Tavis{\textendash}Cummings} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {66--79},
     year = {1997},
     volume = {245},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a3/}
}
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N. M. Bogolyubov. Algebraic Bethe anzatz and the Tavis–Cummings model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 66-79. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a3/