On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)
High Energy Physics - Theory
2009-10-31 v1
Abstract
We construct a two parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta.
Keywords
Cite
@article{arxiv.hep-th/9906240,
title = {On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)},
author = {H. W. Braden and A. Marshakov and A. Mironov and A. Morozov},
journal= {arXiv preprint arXiv:hep-th/9906240},
year = {2009}
}
Comments
15 pages, LaTeX