SU(3) revisited

Byrd, Mark ; Sudarshan, E. C. G. (1998) SU(3) revisited Journal of Physics A: Mathematical and General, 31 (46). pp. 9255-9268. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/31/46/015

Related URL: http://dx.doi.org/10.1088/0305-4470/31/46/015

Abstract

The 'D' matrices for all states of the two fundamental representations and octet are given in the Euler angle parametrization of SU(3). The raising and lowering operators are given in terms of linear combinations of the left-invariant vector fields of the group manifold in this parametrization. Using these differential operators the highest weight state of an arbitrary irreducible representation is found and a description of the calculation of Clebsch-Gordon coefficients is given.

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