1210.3126 (Claudia M. Chanu et al.)

Superintegrable Extensions of Superintegrable Systems    [PDF]

Claudia M. Chanu, Luca Degiovanni, Giovanni Rastelli

A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on $\mathbb E^2$ and $\mathbb S^2$ 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.

View original: http://arxiv.org/abs/1210.3126