Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations

Kalnins, Ernie G.

Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations

dc.contributor.author	Kalnins, Ernie G.
dc.date.accessioned	2008-11-03T21:11:15Z
dc.date.available	2008-11-03T21:11:15Z
dc.date.issued	1972-09
dc.description.abstract	Unitary irreducible representations of the homogeneous Lorentz group O(3, 1) belonging to the principal series are reduced with respect to the subgroup O(1,1) O(2). As an application we determine the mixed basis matrix elements between O(3) and O(1,1) O(2) bases and derive recurrence relations for them. This set of functions is then used to obtain invariant expansions of solutions of the Dirac and Proca free field equations. These expansions are shown to have the correct nonrelativistic limit.	en_US
dc.format.mimetype	application/pdf
dc.identifier.citation	Kalnins, E.G. (1972). Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations. Journal of Mathematical Physics, 13, 1304.	en_US
dc.identifier.doi	10.1063/1.1666136	en_US
dc.identifier.issn	0022-2488
dc.identifier.uri	https://hdl.handle.net/10289/1252
dc.language.iso	en
dc.relation.uri	http://link.aip.org/link/?JMAPAQ/13/1304/1	en_US
dc.rights	Copyright 1972 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	Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations	en_US
dc.type	Journal Article	en_US