The Smorodinsky-Winternitz potential revisited

Abstract

We employ joint invariants of Killing two-tensors defined in the Euclidean plane to characterize the Smorodinsky-Winternitz potential and explain the geometric meaning of its arbitrary parameters. In addition, we verify for which values of the arbitrary parameter $k$ the Tremblay-Turbiner-Winternitz potential is multi-separable.

14 pages

Cited by in corpus (1)

• A Geometric Study of Superintegrable Systems