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

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

doi:10.1063/1.530875

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

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

Research output: Contribution to journal › Comment/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 language	English
Pages (from-to)	6672-6684
Number of pages	13
Journal	Journal of Mathematical Physics
Volume	35
Issue number	12
DOIs	https://doi.org/10.1063/1.530875
Publication status	Published - 1994

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@article{0cc85bd888b34601b377dd70256f8aff,

title = "Symmetry properties of matrix elements of canonical SU(3) tensor operators",

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.",

author = "L.C. Biedenharn and Lohe, {Max A.} and H.T. Williams",

year = "1994",

doi = "10.1063/1.530875",

language = "English",

volume = "35",

pages = "6672--6684",

journal = "Journal of Mathematical Physics",

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publisher = "American Institute of Physics",

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T1 - Symmetry properties of matrix elements of canonical SU(3) tensor operators

AU - Biedenharn, L.C.

AU - Lohe, Max A.

AU - Williams, H.T.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

U2 - 10.1063/1.530875

DO - 10.1063/1.530875

M3 - Comment/debate

VL - 35

SP - 6672

EP - 6684

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -

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

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