2012/07/31 by Smirnov, Roman G., Yzaguirre, Amelia L.
#FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1207.7350
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.