Classification of three-particle states according to an orthonormal SU(3)⊇SO(3) basis

DOI10.1063/1.524688zbMath0509.22017OpenAlexW1984985289MaRDI QIDQ4748374

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524688

zbMATH Keywords

irreducible representationsSO(3)SU(3)creation and annihilation operatorsthree-particle statesSU(3) in an SO(3) basis

Mathematics Subject Classification ID

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) Compact groups (22C05)

Related Items (3)

Permutation-symmetric three-particle hyper-spherical harmonics based on the \(\operatorname{S}_{3}\otimes\operatorname{SO}(3)_{rot} \subset \operatorname{O}(2)\otimes\operatorname{SO}(3)_{ rot} \subset \operatorname{U}(3) \rtimes \operatorname{S}_{2} \subset \operatorname{O}(6)\) subgroup chain ⋮ \(\mathrm{O}(6)\) algebraic approach to three bound identical particles in the hyperspherical adiabatic representation ⋮ Some properties of hyperspherical harmonics

Cites Work

• Everything you always wanted to know about \(SU(3)\subset 0(3)\)
• Group theory of harmonic oscillators
• Generalized Angular Momentum in Many-Body Collisions
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
• On the Decomposition of Tensors by Contraction

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