The Smorodinsky-Winternitz potential revisited
Mathematical Physics
2012-08-01 v1 math.MP
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 the Tremblay-Turbiner-Winternitz potential is multi-separable.
Keywords
Cite
@article{arxiv.1207.7350,
title = {The Smorodinsky-Winternitz potential revisited},
author = {Roman G. Smirnov and Amelia L. Yzaguirre},
journal= {arXiv preprint arXiv:1207.7350},
year = {2012}
}
Comments
14 pages