Some new identities of the Clebsch–Gordan coefficients and representation functions of SO(2,1) and SO(4)

DOI10.1063/1.523004zbMath0323.22012OpenAlexW2081877323MaRDI QIDQ4085972

Asim O. Barut, Raj Wilson

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1063/1.523004

Mathematics Subject Classification ID

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

Related Items (11)

Ordered products, W∞-algebra, and two-variable, definite-parity, orthogonal polynomials ⋮ The Clebsch–Gordan problem of the SL(2,R) coherent states ⋮ Boost matrix elements and Clebsch–Gordan coefficients of the homogeneous Lorentz group ⋮ The master analytic function and the Lorentz group. III. Coupling of continuous representations of O(2,1) ⋮ The Lorentz group in the oscillator realization. I. The group SO(2,1) and the transformation matrices connecting the SO(2) and SO(1,1) bases ⋮ Addition of complex angular momentum operators ⋮ Ladder operators of group matrix elements ⋮ The Gel’fand realization and the generating function of the Clebsch–Gordan coefficients of SL(2,R) in the hyperbolic basis ⋮ A unified treatment of the representation functions of SO(n,1), SO(n+1), and ISO(n) ⋮ Wigner 9j symbols and the product group ⋮ On the SU2 unit tensor

Cites Work

• Irreducible unitary representations of the Lorentz group
• Classical limits of clebsch-gordan coefficients, racah coefficients and Dmnl (φ, ϑ, ψ)-functions
• Wigner Coefficients for the R4 Group and Some Applications
• Reduction of Direct Products and Restriction of Representations to Subgroups: The Everyday Tasks of the Quantum Theorists
• Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)
• Interpretation of the Symmetry of the Clebsch-Gordan Coefficients Discovered by Regge
• Generalized Hypergeometric Function of Unit Argument
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)

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