Nontrivial zeros of the Racah quadrupole invariant

DOI10.1063/1.526511zbMath0559.22014OpenAlexW2055488734MaRDI QIDQ5185272

Simcha Brudno, James D. Louck

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526511

zbMATH Keywords

zerosgroup actionhyperbola \(4x^ 4-3y^ 2=\frac{11}{4}\)Racah quadrupole invariant operatorSO(1,1)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Atomic physics (81V45) Structure and representation of the Lorentz group (22E43)

Related Items (8)

Zeros of Racah coefficients and the Pell equation ⋮ Nontrivial zeros of weight 1 3j and 6j coefficients: Relation to Diophantine equations of equal sums of like powers ⋮ 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 ⋮ Quadratic zeros of Racah 6j coefficients: A geometrical approach ⋮ Weight-2 zeros of 3j coefficients and the Pell equation

Cites Work

• On Lie algebras built from SO(3) tensor operators
• The invariant theory of binary forms
• Theory of Complex Spectra. IV

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