Finite Transformations of SU3
- 1 March 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (3) , 531-535
- https://doi.org/10.1063/1.1664872
Abstract
The properties of SU3 finite transformations are investigated. These transformations on the defining three-dimensional complex space are parameterized in a form employing three factors, two of which are the Euler parameterization of an SU2 subgroup. The irreducible representations of the factored parameterization are found explicitly. The volume element is calculated and the orthogonality relation is verified. Spherical harmonic basis states are derived as a specialization of the transformation matrix. Another result is a definition of triality and a simple proof that it is additive modulus three.Keywords
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