Vector coherent state constructions of U(3) symmetric tensors and their SU(3)⊇SU(2)×U(1) Wigner coefficients

DOI10.1063/1.528981zbMath0741.22017OpenAlexW2092100762MaRDI QIDQ3971954

L. C. Biedenharn, Karl T. Hecht

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528981

zbMATH Keywords

weightstensor operatorsreduced matrix elementsmatrix representationsvector coherent statesreduced Wigner coefficientsBargmann space operator

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (4)

Matrix representations of SOn+2 in an SOn×SO2 basis and some isoscalar factors for SOn+2⊇SOn×SO2 ⋮ Induced shift tensors in vector coherent state theory ⋮ Complementary group resolution of the SU(n) outer multiplicity problem. I. The Littlewood rules and a complementary U(2n−2) group structure ⋮ Complementary group resolution of the SU(n) outer multiplicity problem. II. Recoupling approach for SU(3)⊃U(2) reduced Wigner coefficients

Cites Work

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• Vector coherent state representation theory
• Vector coherent state theory and its application to the orthogonal groups
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• New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)
• Canonical Definition of Wigner Coefficients in Un
• Symmetry Properties of the Wigner<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>9</mml:mn><mml:mi>j</mml:mi></mml:math>Symbol
• The Symmetry Relations of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mn>2</mml:mn><mml:mi>j</mml:mi></mml:math>Symbol

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