Geodesic
One-dimensional two-component Bose gas and the algebraic Bethe ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 409-433 Cet article a éte moissonné depuis la source Math-Net.Ru

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We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a $\delta$-function repulsive interaction. Using a lattice approximation of the $L$-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.
Keywords: Bethe ansatz, Bethe vector.
Mots-clés : monodromy matrix 
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N. A. Slavnov. One-dimensional two-component Bose gas and the algebraic Bethe ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 409-433. http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a4/

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