| dc.contributor.author | Kalnins, Ernie G. | |
| dc.contributor.author | Miller, W., Jr. | |
| dc.date.accessioned | 2008-10-31T03:36:31Z | |
| dc.date.available | 2008-10-31T03:36:31Z | |
| dc.date.issued | 1983-05 | |
| dc.identifier.citation | Kalnins, E.G. & Miller, W., Jr. (1983). The general theory of R-separation for Helmholtz equations. Journal of Mathematical Physics, 24, 1047. | en_US |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | https://hdl.handle.net/10289/1227 | |
| dc.description.abstract | We develop the theory of R-separation for the Helmholtz equation on a pseudo-Riemannian manifold (including the possibility of null coordinates) and show that it, and not ordinary variable separation, is the natural analogy of additive separation for the Hamilton–Jacobi equation. We provide a coordinate-free characterization of variable separation in terms of commuting symmetry operators. | en_US |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.relation.uri | http://link.aip.org/link/?JMAPAQ/24/1047/1 | en_US |
| dc.rights | Copyright 1983 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.jsp | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Helmholtz theorem | en_US |
| dc.subject | Riemann space | en_US |
| dc.subject | coordinates | en_US |
| dc.subject | Hamilton&minus | en_US |
| dc.subject | Jacobi equations | en_US |
| dc.title | The general theory of R-separation for Helmholtz equations | en_US |
| dc.type | Journal Article | en_US |
| dc.identifier.doi | 10.1063/1.525827 | en_US |
| dc.relation.isPartOf | Journal of Mathematical Physics | en_NZ |
| pubs.begin-page | 1047 | en_NZ |
| pubs.elements-id | 84055 | |
| pubs.end-page | 1053 | en_NZ |
| pubs.issue | 5 | en_NZ |
| pubs.volume | 24 | en_NZ |
