On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy
Mathematical Physics
2020-07-21 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We report on the the trigonometric spin Ruijsenaars--Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion on the Lie group U(n). In particular, we give a direct proof of a previously stated result about the form of the second Poisson bracket in terms of convenient variables.
Keywords
Cite
@article{arxiv.2007.09658,
title = {On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy},
author = {L. Feher and I. Marshall},
journal= {arXiv preprint arXiv:2007.09658},
year = {2020}
}
Comments
Contribution to the proceedings of the XXXVIII Workshop on Geometric Methods in Physics (Bialowieza, June 2019), 9 pages