Publication

Families of classical subgroup separable superintegrable systems

Abstract
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 Rodríguez, Tempesta and Winternitz. Another example is given of a superintegrable system on a non-conformally flat space.
Type
Journal Article
Type of thesis
Series
Citation
Kalnins, E.G., Kress, J.M. & Miller, W. Jr. (2010). Families of classical subgroup separable superintegrable systems. Journal of Physics: A Mathematical and Theoretical, 43(9), 092001.
Date
2010
Publisher
IOP Publishing
Degree
Supervisors
Rights