Construction of the classical $R$-matrices for the Toda and Calogero models
Abstract
Description
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.
Latex file 23 pages
Latex file 23 pages