Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3)

DOI10.1063/1.529622zbMath0789.22039OpenAlexW2152090299MaRDI QIDQ4027872

S. I. Ališauskas

Publication date: 9 March 1993

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

Full work available at URL: https://doi.org/10.1063/1.529622

zbMATH Keywords

generalized hypergeometric seriesmatrix elementsisoscalar factors\(SU(3)\) tensor operatorsrenormalization factorsweight lowering operator

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (8)

On the projected bases for Sp(4)⊇U(2) and the orthogonalization problem ⋮ The multiple sum formulas for 12j coefficients of SU(2) and uq(2) ⋮ Symmetry properties of matrix elements of canonical SU(3) tensor operators ⋮ 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 ⋮ Towards the canonical tensor operators of u q(3). I. The maximal null space case ⋮ Towards the canonical tensor operators of uq(3). II. The denominator function problem ⋮ Clebsh–Gordan coefficients for the algebra 𝔤𝔩₃ and hypergeometric functions

Cites Work

• On the 27-plet unitary symmetry operator
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• A pattern calculus for tensor operators in the unitary groups
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• Explicit orthonormal Clebsch–Gordan coefficients of SU(3)
• Dual bases and some coupling coefficients for SU₄⊃ SU₂× SU₂, SU_n⊃ SO_nand Sp₄⊃ U₂
• On the denominator function for canonical SU(3) tensor operators
• Quadrature Sums Involving pth Powers of Polynomials
• On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
• On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches
• Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions
• Structural properties of the self-conjugate SU(3) tensor operators
• Wigner and Racah coefficients for SU3
• Algebraic Tabulation of Clebsch-Gordan Coefficients of SU3 for the Product (λ, μ)⊗ (1, 1) of Representations of SU3
• Canonical Definition of Wigner Coefficients in Un
• Substitution Group and Mirror Reflection Symmetry in Special Unitary Groups
• Erratum: Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5
• On the Symmetric Tensor Operators of the Unitary Groups
• On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)
• On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space

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