Symmetry reduction and superintegrable Hamiltonian systems

M. A. Rodriguez, P. Tempesta, P. Winternitz

Published 2009-06-18Version 1

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.