Addition theorems and the Drach superintegrable systems
Exactly Solvable and Integrable Systems
2010-06-22 v2
Abstract
We propose new construction of the polynomial integrals of motion related to the addition theorems. As an example we reconstruct Drach systems and get some new two-dimensional superintegrable Stackel systems with third, fifth and seventh order integrals of motion.
Cite
@article{arxiv.0805.3443,
title = {Addition theorems and the Drach superintegrable systems},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:0805.3443},
year = {2010}
}
Comments
18 pages, the talk given on the conference "Superintegrable Systems in Classical and Quantum Mechanics", Prague 2008