Superintegrable Extensions of Superintegrable Systems
Mathematical Physics
2012-10-12 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on and and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases including Tremblay-Turbiner-Winternitz and three-particle Calogero systems.
Cite
@article{arxiv.1210.3126,
title = {Superintegrable Extensions of Superintegrable Systems},
author = {Claudia M. Chanu and Luca Degiovanni and Giovanni Rastelli},
journal= {arXiv preprint arXiv:1210.3126},
year = {2012}
}
Comments
This article recollects results published in arXiv:1101.5975 and applies them in a new context