C^{(2)}_{N+1} Ruijsenaars-Schneider models
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We define the notion of C^{(2)}_{N+1} Ruijsenaars-Schneider models and construct their Lax formulation. They are obtained by a particular folding of the A_{2N+1} systems. Their commuting Hamiltonians are linear combinations of Koornwinder-van Diejen ``external fields'' Ruijsenaars-Schneider models, for specific values of the exponential one-body couplings but with the most general 2 double-poles structure as opposed to the formerly studied BC_N case. Extensions to the elliptic potentials are briefly discussed.
Cite
@article{arxiv.nlin/0201055,
title = {C^{(2)}_{N+1} Ruijsenaars-Schneider models},
author = {Jean Avan and Genevieve Rollet},
journal= {arXiv preprint arXiv:nlin/0201055},
year = {2007}
}
Comments
15 pages, LaTeX, no figures