Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. II
- 1 August 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (8) , 1332-1342
- https://doi.org/10.1063/1.1666815
Abstract
Following the approach of a previous paper, the Clebsch‐Gordan problem for the group SU(1,1) for products of the form D + ⊗D − is related to properties of the pseudo‐orthogonal O(2,2). A new understanding of the Clebsch‐Gordan series for this case is achieved by analyzing the properties of O(2,2) spherical harmonics. The Clebsch‐Gordan coefficients in a continuous basis are also calculated.Keywords
This publication has 3 references indexed in Scilit:
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- New forms for the representations of the three-dimensional Lorentz groupJournal of Mathematical Physics, 1973
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947