Integrals of motion and trajectories for the Perlick system I: an algebraic approach

Ragnisco O., KURU Ş., Negro J.

25th International Conference on Integrable Systems and Quantum Symmetries (ISQS), Prague, Czech Republic, 6 - 10 June 2017, vol.965 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 965
  • Doi Number: 10.1088/1742-6596/965/1/012033
  • City: Prague
  • Country: Czech Republic
  • Ankara University Affiliated: Yes

Abstract

In this paper we tersely recall the main algebraic and geometric properties of the maximally superintegrable system known as "Perlick System Tipe I", considering all possible values of the relevant parameters. We will follow a classical variant of the so called factorization method, emphasizing the role played the Poisson Algebra of the constants of motion in sheding light on the geometric features of the trajectories.