R-matrices for the n=2,3 Elliptic Calogero-Moser Models
Abstract
The classical (dynamical) R-matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent R-matrices. The R-matrices presented include the dynamical R-matrices of Avan and Talon as degenerate cases of the elliptic potential.
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