Higher-order superintegrable systems separating in polar coordinates


32nd International Colloquium on Group Theoretical Methods in Physics (ICGTMP Group), Prague, Czech Republic, 9 - 13 July 2018, vol.1194 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1194
  • Doi Number: 10.1088/1742-6596/1194/1/012118
  • City: Prague
  • Country: Czech Republic
  • Hacettepe University Affiliated: Yes


Classical and Quantum mechanical superintegrable systems that are separating in polar coordinates are analyzed. The motion is restricted to a Euclidean plane E-2 and the additional integral is assumed to be a polynomial of degree N >= 3 in momenta. Cases N = 3, 4 and 5 are investigated in detail. This leads to a general and unified description of higher-order superintegrability in the case of potentials allowing separation in polar coordinates.