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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorKress, Jonathan M.
dc.contributor.authorMiller, W., Jr.
dc.contributor.authorPost, Sarah
dc.date.accessioned2010-02-04T21:08:40Z
dc.date.available2010-02-04T21:08:40Z
dc.date.issued2009
dc.identifier.citationKalnins, E. G., Kress, J. M., Miller, W., Jr. & Post, S. (2009). Structure theory for second order 2D superintegrable systems with 1-parameter potentials. Symmetry, Integrability and Geometry: Methods and Applications, 5, 008.en
dc.identifier.urihttps://hdl.handle.net/10289/3547
dc.description.abstractThe structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well understood, but the results for the strictly 1-parameter case have been incomplete. Here we work out this structure theory and prove that the quadratic algebra generated by first and second order constants of the motion for systems with 4 second order constants of the motion must close at order three with the functional relationship between the 4 generators of order four. We also show that every 1-parameter superintegrable system is Stäckel equivalent to a system on a constant curvature space.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://www.emis.de/journals/SIGMA/2009/008/sigma09-008.pdfen
dc.rightsThis article has been published in the journal: Symmetry, Integrability and Geometry: Methods and Applications. Used with permission.en
dc.subjectmathsen
dc.subjectsuperintegrabilityen
dc.subjectquadratic algebrasen
dc.titleStructure theory for second order 2D superintegrable systems with 1-parameter potentialsen
dc.typeJournal Articleen
dc.identifier.doi10.3842/SIGMA.2009.008
dc.relation.isPartOfSymmetry, Integrability and Geometry: Methods and Applicationsen_NZ
pubs.begin-page1en_NZ
pubs.elements-id34643
pubs.end-page24en_NZ
pubs.volume5en_NZ


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