An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3)

DOI10.1063/1.532099zbMath0881.22016OpenAlexW1972071073MaRDI QIDQ4351654

Joe Repka, D. J. Rowe

Publication date: 28 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.532099

zbMATH Keywords

unitary groupsClebsch-Gordan coefficientsvector-coherent-state methods

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) Coherent states (81R30)

Related Items (14)

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Cites Work

• Calculation of Clebsch-Gordan and Recah coefficients using symbolic manipulation programs
• Simple Derivation of the Clebsch-Gordan Coefficients
• Vector coherent state representation theory
• Vector-coherent-state theory as a theory of induced representations
• Tensor operators III: Some fundamental tensor operator identities
• Wigner and Racah coefficients for SU3
• Induced shift tensors in vector coherent state theory
• The Racah–Wigner algebra and coherent tensors
• 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
• Canonical Definition of Wigner Coefficients in Un
• Canonical Unit Adjoint Tensor Operators in U(n)

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