Classical R-matrix structure for the Calogero model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file 9 pages

Scientific paper

10.1016/0370-2693(93)90039-K

A classical R-matrix structure is described for the Lax representation of the
integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix
is dynamical, non antisymmetric and non-invertible. It immediately triggers the
integrability of the Type I, II and III potentials, and the algebraic
structures associated with the Type V potential.

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