Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems

Preprint

4 May 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0405017

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.

Keywords

INTEGRABLE HAMILTONIAN
CLASSICAL TRAJECTORIES
HAMILTONIAN SYSTEMS
SYSTEMS CLASSICAL
QUASI PERIODICAL
SUPER INTEGRABLE
ANGULAR MOMENTUM
TRAJECTORIES

All Related Versions

Version 1, 2004-05-04, ArXiv
Published version: Physics Letters A, 147 (7), 338.

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