$R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models

Details $R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models $R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models

1993-12-03

arxiv.org/abs/hep-th/9312031v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/0375-9601(94)91008-1

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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