Families of classical subgroup separable superintegrable systems

Details Families of classical subgroup separable superintegrable systems Families of classical subgroup separable superintegrable systems

2009-12-16

arxiv.org/abs/0912.3158v1

Physics

Mathematical Physics

9 pages

Scientific paper

We describe a method for determining a complete set of integrals for a classical Hamiltonian that separates in orthogonal subgroup coordinates. As examples, we use it to determine complete sets of integrals, polynomial in the momenta, for some families of generalized oscillator and Kepler-Coulomb systems, hence demonstrating their superintegrability. The latter generalizes recent results of Verrier and Evans, and Rodriguez, Tempesta and Winternitz. Another example is given of a superintegrable system on a non-conformally flat space.

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