Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
Mathematical Physics
2009-11-11 v1 Astrophysics
Analysis of PDEs
Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
The problem of the invariant classification of the orthogonal coordinate webs defined in Euclidean space is solved within the framework of Felix Klein's Erlangen Program. The results are applied to the problem of integrability of the Calogero-Moser model.
Keywords
Cite
@article{arxiv.math-ph/0605023,
title = {Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space},
author = {Joshua T. Horwood and Raymond G. McLenaghan and Roman G. Smirnov},
journal= {arXiv preprint arXiv:math-ph/0605023},
year = {2009}
}