A new boson calculus for SU(3)

DOI10.1063/1.532129zbMath0883.22018OpenAlexW2025811801MaRDI QIDQ4370786

J. S. Prakash, H. S. Sharatchandra

Publication date: 6 January 1998

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

Full work available at URL: https://doi.org/10.1063/1.532129

zbMATH Keywords

representationharmonic oscillators\(SU(3)\)planar rotorboson calculus

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• A simplified SO(6,2) model of SU(3)
• On the structure of tensor operators in \(\mathrm{SU}(3)\)
• Creation and annihilation operators for SU(3) in an SO(6,2) model
• Models for SU(3) in terms of so(n,2) and so*(2n) algebras
• The SO(6, 2) model of SU(3) and its generalisation to SU(n)
• A resolution of the SU(3) outer multiplicity problem and computation of Wigner coefficients for SU(3)
• The missing link: operators for labelling multiplicity in the Clebsch-Gordan series
• Wigner'sD-matrix elements forSU(3) - a generating function approach
• New realizations of the dual space of SU(3)
• A calculus for SU(3) leading to an algebraic formula for the Clebsch–Gordan coefficients

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