The r-matrix structure of the Euler-Calogero-Moser model
نویسنده
چکیده
We construct the r-matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the r-matrix for the O(N) Euler-Calogero-Moser model and for the standard AN Calogero-Moser model. PAR LPTHE 93-55 L.P.T.H.E. Université Paris VI (CNRS UA 280), Box 126, Tour 16, 1 étage, 4 place Jussieu, F-75252 PARIS CEDEX 05
منابع مشابه
Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model
A generalisation of the classical Calogero-Moser model obtained by coupling it to the Gaudin model is considered. The recently found classical dynamical r-matrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 93-55] for the Euler-Calogero-Moser model is used to separate variables for this generalised Calogero-Moser model in the case in which there are two Calogero-Moser particles. The model is t...
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