Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems

Details Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems

2004-05-04

arxiv.org/abs/quant-ph/0405017v1

Physics Letters A 147 (1990) 338-342

Physics

Quantum Physics

Scientific paper

10.1016/0375-9601(90)90549-4

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.

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