Explicit orthonormal Clebsch–Gordan coefficients of SU(3)

DOI10.1063/1.528770zbMath0707.22009OpenAlexW2135092129MaRDI QIDQ3488336

S. I. Ališauskas

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528770

zbMATH Keywords

biorthogonal systemsorthogonalizationtensor operatorsG-functionscoupling schemeorthonormal Clebsch-Gordan coefficients

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (10)

Orthogonalization coefficients for the Elliott–Draayer states of the two parametric irreps of SU(n)⊇SO(n) ⋮ On the projected bases for Sp(4)⊇U(2) and the orthogonalization problem ⋮ Symmetry properties of matrix elements of canonical SU(3) tensor operators ⋮ Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3) ⋮ Explicit orthogonalization of some biorthogonal bases for SU(n)⊇SO(n) and Sp(4)⊇U(2) ⋮ Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases ⋮ 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 ⋮ Comment on ‘‘The matrix representation of U4 in the U2×U2 basis and isoscalar factors for U p+q⊇U p×U q’’ [F. Pan, J. Math. Phys. 31, 1333 (1990)]

Cites Work

• Some properties of generalized hypergeometric coefficients
• On the denominator function for canonical SU(3) tensor operators
• Clebsch-Gordan coefficients of SU(3) with simple symmetry properties
• A resolution of the SU(3) outer multiplicity problem and computation of Wigner coefficients for SU(3)
• 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
• Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5

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