Symmetry properties of matrix elements of canonical SU(3) tensor operators

L.C. Biedenharn, Max A. Lohe, H.T. Williams

    Research output: Contribution to journalComment/debate

    Abstract

    The symmetries of the SU(S) 3-j symbols, which are defined as symmetrized matrix elements of the canonical SU(3) tensor operators are investigated. The symmetries considered are those which in SU(2) correspond to the interchange of columns of the 3-j symbol, as well as the symmetry under conjugation. It is found that for each tensor operator in a multiplicity set the matrix elements (for a fixed operator pattern) carry a one-dimensional representation of the symmetric group S3.
    Original languageEnglish
    Pages (from-to)6672-6684
    Number of pages13
    JournalJournal of Mathematical Physics
    Volume35
    Issue number12
    DOIs
    Publication statusPublished - 1994

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