Spherical harmonics and basic coupling coefficients for the group SO(5) in an SO(3) basis

DOI10.1063/1.1763004zbMath1071.81052OpenAlexW2069176740MaRDI QIDQ4833454

Joe Repka, Peter S. Turner, D. J. Rowe

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1763004

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Spherical harmonics (33C55)

Related Items (7)

Clebsch-Gordan coefficients for U(8)⊃O(8)⊃SU(3) ⋮ A computer code for calculations in the algebraic collective model of the atomic nucleus ⋮ Construction of \(SO(5)\supset SO(3)\) spherical harmonics and Clebsch-Gordan coefficients ⋮ Quasi-exact description of the γ-unstable shape phase transition ⋮ Racah’s method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases ⋮ Vector coherent state theory of the generic representations of so(5) in an so(3) basis ⋮ SU(3) Clebsch–Gordan coefficients and some of their symmetries

Uses Software

• SU3CGVCS

Cites Work

• Programs for generating Clebsch-Gordan coefficients of \(SU(3)\) in \(SU(2)\) and \(SO(3)\) bases
• A Unified Theory Based on SO (5) Symmetry of Superconductivity and Antiferromagnetism
• The γ-dependent part of the wave functions representing γ-unstable surface vibrations
• Representation of the five-dimensional harmonic oscillator with scalar-valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions
• Canonical Unit Adjoint Tensor Operators in U(n)
• Linear Canonical Transformations and Their Unitary Representations

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