On the spectrum of a third-order SO(3) scalar in the enveloping algebra of SO(6)

DOI10.1063/1.527973zbMath0649.22013OpenAlexW1990388923MaRDI QIDQ3794430

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

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527973

zbMATH Keywords

Lie algebrasmatrix elementsWigner-Eckart theoreminteracting boson modelenergy spectrum of nucleiSO(3) invariant operators

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Nuclear physics (81V35) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Generating functions for higher-order interaction terms in the IBA Hamiltonian
• Totally symmetric irreducible representations of the group SO(6) in the principal SO(3) subgroup basis
• Irreducible Representations of the Five-Dimensional Rotation Group. II

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