Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
- 1 November 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (11) , 2360-2365
- https://doi.org/10.1063/1.524817
Abstract
A set of relations is set up which connect quadratic products of the shift operators Okl (k = 0,1,2), which are nonscalar with respect to the O(3) subgroup of SU (3). The usefulness of these relations is illustrated by the calculation of the eigenvalues of the scalar shift operator O0l for various irreducible representations ( p,q) of SU (3).Keywords
This publication has 7 references indexed in Scilit:
- Shift operator techniques for the classification of multipole-phonon states. VI. Properties of nonscalar R(3) product operators in the R(2λ+1) groupsJournal of Mathematical Physics, 1980
- Sum rules for the matrices of the generators of SU(3) in an SO(3) basisJournal of Mathematical Physics, 1979
- O(3) shift operators: The general analysisJournal of Mathematical Physics, 1978
- Everything you always wanted to know about SU(3) ⊃ 0(3)Annals of Physics, 1975
- Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)Journal of Mathematical Physics, 1974
- SU(3) in an O(3) basis. II. Solution of the state labelling problemJournal of Physics A: Mathematical, Nuclear and General, 1973
- SU(3) in an O(3) basis. I. Properties of shift operatorsJournal of Physics A: Mathematical, Nuclear and General, 1973