On the superintegrable Richelot systems
Exactly Solvable and Integrable Systems
2011-09-06 v1
Abstract
We introduce the Richelot class of superintegrable systems in N-dimensions whose n<=N equations of motion coincide with the Abel equations on n-1 genus hyperellipic curve. The corresponding additional integrals of motion are the second order polynomials of momenta and multiseparability of the Richelot superintegrable systems is related with classical theory of covers of the hyperelliptic curves.
Keywords
Cite
@article{arxiv.0909.2923,
title = {On the superintegrable Richelot systems},
author = {A V Tsiganov},
journal= {arXiv preprint arXiv:0909.2923},
year = {2011}
}
Comments
13 pages, a talk given at the Conference "Symmetry Methods in Physics" devoted to the memory of Professor Y.F.Smirnov, July 6-9, 2009