Symmetry reduction and superintegrable Hamiltonian systems
arXiv:0906.3396 · doi:10.1088/1742-6596/175/1/012013
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.
9 pages