On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis

DOI10.1063/1.528362zbMath0681.22023OpenAlexW1991796641MaRDI QIDQ4730002

Guido Vanden Berghe, Jan Vanthournout, H. E. De Meyer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528362

zbMATH Keywords

matrix elementssymmetric representationsInteracting Boson ModelSU(5) generators

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (2)

Vector-coherent-state representations of so(5) in an so(3) basis ⋮ Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis

Cites Work

• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• On the spectra of SO(3) scalars in the enveloping algebra of SU(3)
• 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)
• Irreducible Representations of the Five-Dimensional Rotation Group. I
• Irreducible Representations of the Five-Dimensional Rotation Group. II
• Nuclear Constitution and the Interpretation of Fission Phenomena

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