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dc.contributor.authorKalnins, Ernie G.
dc.contributor.authorMiller, W., Jr.
dc.date.accessioned2008-10-31T01:11:45Z
dc.date.available2008-10-31T01:11:45Z
dc.date.issued1987-05
dc.identifier.citationKalnins, E.G. & Miller, W., Jr. (1987). R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations. Journal of Mathematical Physics, 28, 1005.en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://hdl.handle.net/10289/1217
dc.description.abstractThe theory of R-separation of variables is developed for the time-dependent Hamilton–Jacobi and Schrödinger equations on a Riemannian manifold V n where time-dependent vector and scalar potentials are permitted. As an application it is shown how to obtain all R-separable coordinates for the n-sphere and Euclidean n-space.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.relation.urihttp://link.aip.org/link/?JMAPAQ/28/1005/1en_US
dc.rightsCopyright 1987 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.subjectdifferential equationsen_US
dc.subjectpartial differential equationsen_US
dc.subjectSchroedinger equationen_US
dc.subjectHamilton&minusen_US
dc.subjectJacobi equationsen_US
dc.subjecttime dependenceen_US
dc.subjectmathematical spaceen_US
dc.subjectmathematical manifoldsen_US
dc.subjectanalytical solutionen_US
dc.subjectHamiltoniansen_US
dc.subjectHamiltonian functionen_US
dc.subjectcoordinatesen_US
dc.subjectpotentialsen_US
dc.titleR-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equationsen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1063/1.527592en_US
dc.relation.isPartOfJournal of Mathematical Physicsen_NZ
pubs.begin-page1005en_NZ
pubs.elements-id84094
pubs.end-page1015en_NZ
pubs.issue5en_NZ
pubs.volume28en_NZ


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