Integrable Systems with Pairwise Interactions and Functional Equations
High Energy Physics - Theory
2008-02-03 v2
Abstract
A new ansatz is presented for a Lax pair describing systems of particles on the line interacting via (possibly nonsymmetric) pairwise forces. Particular cases of this yield the known Lax pairs for the Calogero-Moser and Toda systems, as well as their relativistic generalisations. The ansatz leads to a system of functional equations. Several new functional equations are described and the general analytic solution to some of these is given. New integrable systems are described.
Cite
@article{arxiv.hep-th/9411240,
title = {Integrable Systems with Pairwise Interactions and Functional Equations},
author = {H. W. Braden and V. M. Buchstaber},
journal= {arXiv preprint arXiv:hep-th/9411240},
year = {2008}
}
Comments
32 pages latex2e. Some Proofs removed. New Examples