Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems

Abstract

Classical trajectories are calculated for two Hamiltonian systems with ring shaped potentials. Both systems are super-integrable, but not maximally super-integrable, having four globally defined single valued integrals of motion each. All finite trajectories are quasi-periodical; they become truly periodical if a commensurability condition is imposed on an angular momentum component.

Cited by in corpus (4)

• Exact Solvability of Superintegrable Systems
• The generalized MIC-Kepler system
• On the use of the group SO(4,2) in atomic and molecular physics
• Self-Adjointness of Generalized MIC-Kepler System