Symmetry reduction and superintegrable Hamiltonian systems

Details Symmetry reduction and superintegrable Hamiltonian systems Symmetry reduction and superintegrable Hamiltonian systems

2009-06-18

arxiv.org/abs/0906.3396v1

Physics

Mathematical Physics

9 pages

Scientific paper

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.

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