We propose a new construction of the polynomial integrals of motion related to the addition theorems. As an example we reconstruct Drach systems and get some new two-dimensional superintegrable Stäckel systems with third-, fifth- and seventh-order integrals of motion.

Original languageEnglish
Article number335204
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number33
DOIs
StatePublished - 22 Aug 2008

    Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

ID: 8484457