Nontrivial zeros of weight 1 3j and 6j coefficients: Relation to Diophantine equations of equal sums of like powers

DOI10.1063/1.526832zbMath0588.10018OpenAlexW2073895578MaRDI QIDQ3715188

James D. Louck, Simcha Brudno

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526832

zbMATH Keywords

Racah coefficientsWigner coefficientsequal sums of like powers

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Diophantine equations (11D99)

Related Items (8)

Zeros of Racah coefficients and the Pell equation ⋮ On Diophantine equations and nontrivial Racah coefficients ⋮ A complete determination of the zeros of weight-1 6j coefficients ⋮ Adjoint boson realization of SU(N) and a family of structural zeros of 6j coefficients ⋮ Tensor product of group representations and structural zeros of Racah coefficients ⋮ Weight-2 zeros of 3j coefficients and the Pell equation ⋮ Multiplicative diophantine equations ⋮ Unusual sum rule for Clebsch-Gordan coefficients

Cites Work

• Symmetry properties of Clebsch-Gordon’s coefficients
• Nontrivial zeros of the Racah quadrupole invariant
• On the Representations of the Rotation Group

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