On the Representations of the Semisimple Lie Groups. IV. A Canonical Classification for Tensor Operators in SU3

Journal of Mathematical Physics - Tập 5 Số 12 - Trang 1730-1747 - 1964
G. E. Baird1, L. C. Biedenharn1
1Department of Physics, Duke University, Durham, North Carolina

Tóm tắt

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.

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