Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems
Quantum Physics
2009-11-10 v1 Chemical Physics
Classical Physics
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
Cite
@article{arxiv.quant-ph/0405017,
title = {Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems},
author = {Maurice Robert Kibler and Pavel Winternitz},
journal= {arXiv preprint arXiv:quant-ph/0405017},
year = {2009}
}