Asymmetric six-vertex model and the~classical Ruijsenaars--Schneider system of particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 235-249

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We discuss the correspondence between models solved by the Bethe ansatz and classical integrable systems of the Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric six-vertex model parameterized by trigonometric (hyperbolic) functions.
Keywords: six-vertex model, Ruijsenaars–Schneider system of particles, quantum–classical correspondence.
@article{TMF_2017_192_2_a4,
     author = {A. V. Zabrodin and A. V. Zotov and A. N. Liashyk and D. S. Rudneva},
     title = {Asymmetric six-vertex model and the~classical {Ruijsenaars--Schneider} system of particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--249},
     publisher = {mathdoc},
     volume = {192},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a4/}
}
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A. V. Zabrodin; A. V. Zotov; A. N. Liashyk; D. S. Rudneva. Asymmetric six-vertex model and the~classical Ruijsenaars--Schneider system of particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 2, pp. 235-249. http://geodesic.mathdoc.fr/item/TMF_2017_192_2_a4/