Lie theory and separation of variables. 11. The EPD equation

Kalnins, Ernie G.

Lie theory and separation of variables. 11. The EPD equation

dc.contributor.author	Kalnins, Ernie G.
dc.date.accessioned	2008-11-03T01:29:28Z
dc.date.available	2008-11-03T01:29:28Z
dc.date.issued	1976-03
dc.description.abstract	We show that the Euler–Poisson–Darboux equation {∂tt -∂rr – [(2m+1)/r]∂r}Ө=0 separates in exactly nine coordinate systems corresponding to nine orbits of symmetric second-order operators in the enveloping algebra of SL(2,R), the symmetry group of this equation. We employ techniques developed in earlier papers from this series and use the representation theory of SL(2,R) to derive special function identities relating the separated solutions. We also show that the complex EPD equation separates in exactly five coordinate systems corresponding to five orbits of symmetric second-order operators in the enveloping algebra of SL(2,C).	en_US
dc.format.mimetype	application/pdf
dc.identifier.citation	Kalnins, E.G. & Miller, W., Jr. (1976). Lie theory and separation of variables. 11. The EPD equation. Journal of Mathematical Physics, 17, 369.	en_US
dc.identifier.doi	10.1063/1.522902	en_US
dc.identifier.issn	0022-2488
dc.identifier.uri	https://hdl.handle.net/10289/1238
dc.language.iso	en
dc.relation.uri	http://link.aip.org/link/?JMAPAQ/17/369/1	en_US
dc.rights	Copyright 1976 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.title	Lie theory and separation of variables. 11. The EPD equation	en_US
dc.type	Journal Article	en_US