SU(3) in an O(3) basis: The use of non-scalar shift-operator products

DOI10.1016/0378-4371(82)90300-4zbMath0509.22022OpenAlexW2074869073MaRDI QIDQ1838600

J. W. B. Hughes, H. E. De Meyer, Guido Vanden Berghe

Publication date: 1982

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(82)90300-4

zbMATH Keywords

bilinear formsdegeneracyirreducible representationseigenvalue expressionsnon-scalar shift-operator

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) Unitary representations of locally compact groups (22D10) Compact groups (22C05)

Cites Work

• Everything you always wanted to know about \(SU(3)\subset 0(3)\)
• O(3) shift operators: The general analysis
• Sum rules for the matrices of the generators of SU(3) in an SO(3) basis
• Shift operator techniques for the classification of multipole-phonon states. VI. Properties of nonscalar R(3) product operators in the R(2λ+1) groups
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

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