The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. IV

Mukunda, N. ; Radhakrishnan, B. (1974) The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. IV Journal of Mathematical Physics, 15 (10). pp. 1656-1668. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v15/i10/p1656/s1

Related URL: http://dx.doi.org/10.1063/1.1666520

Abstract

This is the last of four papers describing a new approach to the Clebsch-Gordan problem for the group SU(1, 1). Here we have related the Clebsch-Gordan series for products of the type C⊗C to properties of the group O(2, 2) and the structure of the series is thus seen to arise out of the properties of O(2, 2) spherical harmonics in an O(1,1)⊗O(1,1) basis. The Clebsch-Gordan coefficients in a continuous basis are also evaluated.

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Deposited On:06 Dec 2010 13:34
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