On the Representations of the Semisimple Lie Groups. IV. A Canonical Classification for Tensor Operators in SU3
- 1 December 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (12) , 1730-1747
- https://doi.org/10.1063/1.1704096
Abstract
It is shown that the multiplicity structure of the general SUn operators may be put in a one‐to‐one correspondence with the multiplicity structure of the corresponding states. This result allows a convenient labeling scheme to be devised for the general SUn Wigner operator and leads in a natural way to the concept of a reduced Wigner operator. The problem of multiplicity in tensor operators is shown to have a canonical resolution in the conjugation classification which is discussed in detail for the SU3 case.Keywords
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