1207.7350 (Roman G. Smirnov et al.)

The Smorodinsky-Winternitz potential revisited    [PDF]

Roman G. Smirnov, Amelia L. Yzaguirre

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.

View original: http://arxiv.org/abs/1207.7350