dorsal/arxiv
View SchemaSymmetry properties of SU3 vector coupling coefficients
| Authors | H. Thomas Williams |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9309023 |
| URL | https://arxiv.org/abs/nucl-th/9309023 |
Abstract
A presentation of the problem of calculating the vector coupling coefficients for $SU3 \supset SU2 \otimes U1$ is made, in the spirit of traditional treatments of SU2 coupling. The coefficients are defined as the overlap matrix element between product states and a coupled state with good SU3 quantum numbers. A technique for resolution of the outer degeneracy problem, based upon actions of the infinitesimal generators of SU3 is developed, which automatically produces vector coupling coefficients with symmetries under exchange of state labels which parallel the familiar symmetries of the SU2 case. An algorithm for efficient computation of these coefficients is outlined, for which an ANSI C code is available.
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"abstract": "A presentation of the problem of calculating the vector coupling coefficients\nfor $SU3 \\supset SU2 \\otimes U1$ is made, in the spirit of traditional\ntreatments of SU2 coupling. The coefficients are defined as the overlap matrix\nelement between product states and a coupled state with good SU3 quantum\nnumbers. A technique for resolution of the outer degeneracy problem, based upon\nactions of the infinitesimal generators of SU3 is developed, which\nautomatically produces vector coupling coefficients with symmetries under\nexchange of state labels which parallel the familiar symmetries of the SU2\ncase. An algorithm for efficient computation of these coefficients is outlined,\nfor which an ANSI C code is available.",
"arxiv_id": "nucl-th/9309023",
"authors": [
"H. Thomas Williams"
],
"categories": [
"nucl-th"
],
"title": "Symmetry properties of SU3 vector coupling coefficients",
"url": "https://arxiv.org/abs/nucl-th/9309023"
},
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