The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2

Details The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2 The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2

1998-02-22

arxiv.org/abs/solv-int/9802015v1

Commun.Theor.Phys.33:371-376,2000

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, Latex file 17k

Scientific paper

We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.

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