A time-discretized version of the Calogero-Moser model
High Energy Physics - Theory
2009-10-28 v1 Condensed Matter
Exactly Solvable and Integrable Systems
solv-int
Abstract
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 -matrix is the same as for the continuum model.
Keywords
Cite
@article{arxiv.hep-th/9403052,
title = {A time-discretized version of the Calogero-Moser model},
author = {Frank W. Nijhoff and Gen-Di Pang},
journal= {arXiv preprint arXiv:hep-th/9403052},
year = {2009}
}
Comments
12 pages. LaTeX, Stylefile `equations.sty' appended at the end