A time-discretized version of the Calogero-Moser model
نویسنده
چکیده
We introduce an integrable time-discretized version of the classical CalogeroMoser 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.
منابع مشابه
Calogero–moser Operators in Infinite Dimension
Various infinite-dimensional versions of the Calogero–Moser operator are discussed. The related class of Jack–Laurent symmetric functions is studied. In the special case when parameter k = −1 the analogue of Jacobi–Trudy formula is given and the relation with representation theory of Lie superlagebra gl(m, n) is discussed.
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