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Integrability, Stäckel spaces, and rational potentials

dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorBenenti, S.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-30T00:43:15Z
dc.date.available2008-10-30T00:43:15Z
dc.date.issued1997-05
dc.identifier.citationKalnins, E.G., Benenti, S. & Miller, W., Jr. (1997). Integrability, Stäckel spaces, and rational potentials . Journal of Mathematical Physics, 38, 2345.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1200
dc.description.abstractFor a variety of classical mechanical systems embeddable into flat space with Cartesian coordinates {xi} and for which the Hamilton–Jacobi equation can be solved via separation of variables in a particular curvalinear system {uj}, we answer the following question. When is the separable potential function v expressible as a polynomial (or as a rational function) in the defining coordinates {xi}? Many examples are given.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/38/2345/1en_US
dc.rightsCopyright 1997 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jspen_US
dc.subjectMathematicsen_US
dc.subjectclassical mechanicsen_US
dc.subjectrotationen_US
dc.subjectHamilton-Jacobi equationsen_US
dc.subjectpotentialsen_US
dc.subjectpolynomialsen_US
dc.subjectintegrationen_US
dc.titleIntegrability, Stäckel spaces, and rational potentialsen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.531977en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page2345en_NZ
pubs.elements-id39943
pubs.end-page2365en_NZ
pubs.issue5en_NZ
pubs.volume38en_NZ


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