Families of classical subgroup separable superintegrable systems

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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorKress, Jonathan M.
dc.date.accessioned2010-11-03T23:03:33Z
dc.date.available2010-11-03T23:03:33Z
dc.date.issued2010
dc.description.abstractWe 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.en_NZ
dc.identifier.citationKalnins, 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.en_NZ
dc.identifier.doi10.1088/1751-8113/43/9/092001en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/4753
dc.language.isoen
dc.publisherIOP Publishingen_NZ
dc.relation.isPartOfJournal of Physics A: Mathematical and Theoreticalen_NZ
dc.relation.urihttp://iopscience.iop.org/1751-8121/43/9/092001/en_NZ
dc.subjectmathematicsen_NZ
dc.titleFamilies of classical subgroup separable superintegrable systemsen_NZ
dc.typeJournal Articleen_NZ
pubs.begin-page1en_NZ
pubs.elements-id35417
pubs.end-page8en_NZ
pubs.issue9en_NZ
pubs.volume43en_NZ
uow.identifier.article-noARTN 092001en_NZ
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