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

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

1993-06-21

arxiv.org/abs/hep-th/9306102v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex file 23 pages

Scientific paper

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.

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