Symmetry reduction and superintegrable Hamiltonian systems
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
We construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems are maximally superintegrable. We also discuss the reduction method used in this article and its possible generalization to other maximally superintegrable systems.
Cite
@article{arxiv.0906.3396,
title = {Symmetry reduction and superintegrable Hamiltonian systems},
author = {M. A. Rodriguez and P. Tempesta and P. Winternitz},
journal= {arXiv preprint arXiv:0906.3396},
year = {2015}
}
Comments
9 pages