Classical R-matrix structure for the Calogero model

Abstract

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.

Latex file 9 pages

References in corpus (2)

• Explicit Solution to the N-Body Calogero Problem
• Algebraic Structures and Eigenstates for Integrable Collective Field Theories

Cited by in corpus (54)

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