Differential-Stäckel matrices

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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-31T02:57:51Z
dc.date.available2008-10-31T02:57:51Z
dc.date.issued1985-07
dc.description.abstractWe show that additive separation of variables for linear homogeneous equations of all orders is characterized by differential-Stäckel matrices, generalizations of the classical Stäckel matrices used for multiplicative separation of (second-order) Schrödinger equations and additive separation of Hamilton–Jacobi equations. We work out the principal properties of these matrices and demonstrate that even for second-order Laplace equations additive separation may occur when multiplicative separation does not.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationKalnins, E.G. & Miller, W., Jr. (1985). Differential-Stäckel matrices. Journal of Mathematical Physics, 26, 1560.en_US
dc.identifier.doi10.1063/1.526917en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1224
dc.language.isoen
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/26/1560/1en_US
dc.rightsCopyright 1985 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.subjectmatricesen_US
dc.subjectdifferential equationsen_US
dc.subjectpartial differential equationsen_US
dc.subjectHamilton&minusen_US
dc.subjectJacobi equationsen_US
dc.subjectlaplace equationen_US
dc.subjectanalytical solutionen_US
dc.subjectnonlinear problemsen_US
dc.subjectcouplingen_US
dc.subjectcoordinatesen_US
dc.subjectRiemann spaceen_US
dc.subjectpolynomialsen_US
dc.subjectmathematical operatorsen_US
dc.titleDifferential-Stäckel matricesen_US
dc.typeJournal Articleen_US
dspace.entity.typePublication
pubs.begin-page1560en_NZ
pubs.end-page1565en_NZ
pubs.issue7en_NZ
pubs.volume26en_NZ

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