PREPRINT
C5C84E67-5D7F-4804-B0E0-6850E2B01F76

Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space

Joshua T. Horwood, Raymond G. McLenaghan, Roman G. Smirnov
arXiv:math-ph/0605023

Submitted on 7 May 2006

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.

Preprint

Subjects: Mathematical Physics; Astrophysics; Mathematics - Analysis of PDEs; Mathematics - Differential Geometry; Nonlinear Sciences - Exactly Solvable and Integrable Systems

URL: https://arxiv.org/abs/math-ph/0605023