Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High Dimension
High Energy Physics - Theory
2008-02-03 v2
Abstract
A new series of integrable cases of the many-body problem in many-dimensional spaces is found. That series appears as a part of the larger series of integrable problems, which are in 1-1 correspondence with Krichever-Novikov algebras of affine type (that is with pairs each one consisting of some finite root system and some Riemann surface of finite genus with two marked points).
Keywords
Cite
@article{arxiv.hep-th/9510165,
title = {Integrable Many-Body Systems of Calogero-Moser-Sutherland Type in High Dimension},
author = {O. Sheinman},
journal= {arXiv preprint arXiv:hep-th/9510165},
year = {2008}
}
Comments
amstex, no figures