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 sympletic mapping. Lax pair, sympletic 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. An exact solution of the initial value problem is given.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call