Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system
Mathematical Physics
2015-12-02 v2 Differential Geometry
math.MP
Abstract
We reconsider the (rational) Calogero-Moser system from the point of view of bi-Hamiltonian geometry. By using geometrical tools of the latter, we explicitly construct set(s) of spectral canonical coordinates, that is, complete sets of Darboux coordinates defined by the eigenvalues and the eigenvectors of the Lax matrix.
Keywords
Cite
@article{arxiv.1511.06339,
title = {Bi-Hamiltonian geometry and canonical spectral coordinates for the Rational Calogero-Moser system},
author = {Gregorio Falqui and Igor Mencattini},
journal= {arXiv preprint arXiv:1511.06339},
year = {2015}
}
Comments
19 pages, typos corrected, exposition streamlined