Matrices of finite Lorentz transformations in a noncompact basis. III. Completeness relation for O(2, 1)

Mukunda, N. (1973) Matrices of finite Lorentz transformations in a noncompact basis. III. Completeness relation for O(2, 1) Journal of Mathematical Physics, 14 (12). pp. 2005-2010. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v14/i12/p2005/s1

Related URL: http://dx.doi.org/10.1063/1.1666282

Abstract

A parametrization of the elements of the three-dimensional Lorentz group O(2, 1), suited to the use of a noncompact O(1, 1) basis in its unitary representations, is derived and used to set up the representation matrices for the entire group. The Plancherel formula for O(2, 1) is then expressed in this basis.

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