Complementary group resolution of the SU(n) outer multiplicity problem. II. Recoupling approach for SU(3)⊃U(2) reduced Wigner coefficients

DOI10.1063/1.532556zbMath0935.81035arXivquant-ph/9704015OpenAlexW3101950708MaRDI QIDQ4701509

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9704015

zbMATH Keywords

SU(3)reduced Wigner coefficients complementary group outer multiplicity

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)

Related Items (1)

Graphical tensor product reduction scheme for the Lie algebras \(so(5)=sp(2)\), \(su(3)\), and \(g(2)\)

Cites Work

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Program for generating tables of \(SU(3)\supset SU(2)\otimes U(1)\) coupling coefficients
Pascal program for generating tables of \(SU(3)\) Clebsch-Gordan coefficients
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Implementation of the U(n) tensor operator calculus in a vector Bargmann Hilbert space
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On the denominator function for canonical SU(3) tensor operators
A resolution of the SU(3) outer multiplicity problem and computation of Wigner coefficients for SU(3)
On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches
Vector coherent state constructions of U(3) symmetric tensors and their SU(3)⊇SU(2)×U(1) Wigner coefficients
Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3)
Orthogonalization of the projected states and isofactors
Wigner and Racah coefficients for SU3
Symmetry properties of matrix elements of canonical SU(3) tensor operators
A calculus for SU(3) leading to an algebraic formula for the Clebsch–Gordan coefficients
SU3 isoscalar factors
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Recursion Relations for the Wigner Coefficients of Unitary Groups
Wigner Coefficients for the S<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Group and some Applications
The Octet Model and its Clebsch-Gordan Coefficients
Gelfand States and the Irreducible Representations of the Symmetric Group
General Coupling Coefficients for the Group SU(3)
Canonical Definition of Wigner Coefficients in Un
On the Representations of the Semisimple Lie Groups. V. Some Explicit Wigner Operators for SU3
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. I. An extension of the pattern calculus rules and the canonical splitting in U(3)

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