Construction of the classical $R$-matrices for the Toda and Calogero models

Abstract

We use the definition of the Calogero-Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their $R$-matrices. In the Toda case, the analogous construction yields constant $R$-matrices. By contrast, for Calogero-Moser models they are dynamical objects.

arXiv commentLatex file 23 pages

References in corpus (1)

• Classical R-matrix structure for the Calogero model

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