A time-discretized version of the Calogero-Moser model

Details A time-discretized version of the Calogero-Moser model A time-discretized version of the Calogero-Moser model

1994-03-08

arxiv.org/abs/hep-th/9403052v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. LaTeX, Stylefile `equations.sty' appended at the end

Scientific paper

10.1016/0375-9601(94)90566-5

We introduce an integrable time-discretized version of the classical Calogero-Moser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. Lax pair, symplectic structure and sufficient set of invariants of the discrete Calogero-Moser model are constructed. The classical $r$-matrix is the same as for the continuum model.

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