On the spectra of SO(3) scalars in the enveloping algebra of SU(3)

DOI10.1063/1.526689zbMath0591.22012OpenAlexW2092956634MaRDI QIDQ3718956

Guido Vanden Berghe, H. E. De Meyer, Joris Van der Jeugt

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526689

zbMATH Keywords

degeneracy problemHughes operatorsresolution of degeneracyscalar shift operatorsSO(3) subalgebraSU(3) states

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Nuclear physics (81V35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of group representations to physics and other areas of science (20C35)

Related Items (5)

Orthogonalization coefficients for the Elliott–Draayer states of the two parametric irreps of SU(n)⊇SO(n) ⋮ Totally symmetric irreducible representations of the group SO(6) in the principal SO(3) subgroup basis ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the subgroup bases SU(2)×SU(2)×U(1) and SU(2)×SU(2) ⋮ On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis

Cites Work

• Everything you always wanted to know about \(SU(3)\subset 0(3)\)
• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• Nonscalar extension of shift operator techniques for SU(3) in an O(3) basis. III. Shift operators of second degree in the tensor components
• Sum rules for the matrices of the generators of SU(3) in an SO(3) basis
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

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