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

Mukunda, N. ; Radhakrishnan, B. (1974) The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. III Journal of Mathematical Physics, 15 (10). pp. 1643-1655. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v15/i10/p1643/s1

Related URL: http://dx.doi.org/10.1063/1.1666519

Abstract

Along the lines of two previous papers, the Clebsch-Gordan problem for products of representations of SU(1, 1) of the form D+⊗C is related to the properties of the Lorentz group O(3, 1). The structure of the Clebsch-Gordan series for this case is understood in a new way as being due to the properties of O(3, 1) spherical harmonics on the timelike and spacelike hyperboloids in Minkowski space. The Clebsch-Gordan coefficients in a continuous basis are then evaluated.

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Deposited On:06 Dec 2010 13:34
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