Canonical orthonormal basis for Su(3) contains/implies SO(3). III. complete set of SU(3) tensor operators
- 11 May 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (7), 1093-1110
- https://doi.org/10.1088/0305-4470/19/7/013
Abstract
For pt.II see ibid., vol.18, p.1905 (1985). A complete set of tensor operators for SU(3) is given in a model space generated by two Bargmann vectors. Use is made of modified operator patterns to classify these tensors. Their tensorial properties are then discussed in the context of the SU(3) tensor algebra developed by Biedenharn and collaborators (1957). The authors also given analytical (semi-analytical) expressions for important classes of Wigner coefficients in Gel'fand (rotational) basis.Keywords
This publication has 29 references indexed in Scilit:
- Creation and annihilation operators for SU(3) in an SO(6,2) modelJournal of Physics A: General Physics, 1984
- On the structure of tensor operators in SU3Communications in Mathematical Physics, 1984
- A six-dimensional oscillator basis classified by O(6)⊇S𝒪(2)×S𝒰(3)⊇SO(3)Journal of Mathematical Physics, 1984
- Canonical solution of the state labelling problem for SU(n)⊃SO(n) and Littlewood's branching rule. I. General formulationJournal of Physics A: General Physics, 1983
- Wigner and Racah coefficients for SU3Journal of Mathematical Physics, 1973
- On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null spaceJournal of Mathematical Physics, 1972
- On the structure of the canonical tensor operators in the unitary groups. I. An extension of the pattern calculus rules and the canonical splitting in U(3)Journal of Mathematical Physics, 1972
- Canonical Definition of Wigner Coefficients in UnJournal of Mathematical Physics, 1967
- Classification of Three-Particle States According to SU3Journal of Mathematical Physics, 1965
- Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958