Coupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanics

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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.contributor.authorPost, Sarah
dc.date.accessioned2010-11-03T23:29:51Z
dc.date.available2010-11-03T23:29:51Z
dc.date.issued2010
dc.description.abstractWe review the fundamentals of coupling constant metamorphosis (CCM) and the Stäckel transform, and apply them to map integrable and superintegrable systems of all orders into other such systems on different manifolds. In general, CCM does not preserve the order of constants of the motion or even take polynomials in the momenta to polynomials in the momenta. We study specializations of these actions which preserve polynomials and also the structure of the symmetry algebras in both the classical and quantum cases. We give several examples of non-constant curvature third- and fourth-order superintegrable systems in two space dimensions obtained via CCM, with some details on the structure of the symmetry algebras preserved by the transform action.en_NZ
dc.identifier.citationKalnins, E.G., Miller, W. Jr. & Post, S. (2010). Coupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanics. Journal of Physics A: Mathematical and Theoretical, 43(3), 035202.en_NZ
dc.identifier.doi10.1088/1751-8113/43/3/035202en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/4754
dc.language.isoen
dc.publisherIOP Publishingen_NZ
dc.relation.isPartOfJournal of Physics A: Mathematical and Theoreticalen_NZ
dc.relation.urihttp://iopscience.iop.org/1751-8121/43/3/035202en_NZ
dc.subjectmathematicsen_NZ
dc.titleCoupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanicsen_NZ
dc.typeJournal Articleen_NZ
pubs.begin-page1en_NZ
pubs.elements-id35418
pubs.end-page20en_NZ
pubs.issue3en_NZ
pubs.volume43en_NZ
uow.identifier.article-noARTN 035202en_NZ
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