A general approach to the systematic derivation of SO(3) shift operator relations. II. Applications

DOI10.1063/1.526800zbMath0555.22010OpenAlexW1980060101MaRDI QIDQ3218323

Guido Vanden Berghe, H. E. De Meyer

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526800

zbMATH Keywords

integrity basisSU(3) and SO(5) Lie algebras

Mathematics Subject Classification ID

Nuclear physics (81V35) 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)

Cites Work

• A general approach to the systematic derivation of SO(3) shift operator relations. I. Theory
• Nonscalar extension of shift operator techniques for SU(3) in an O(3) basis. III. Shift operators of second degree in the tensor components
• Shift operator techniques for the classification of multipole-phonon states: IV. Properties of shift operators in the G2 group
• Shift operator techniques for the classification of multipole-phonon states. VI. Properties of nonscalar R(3) product operators in the R(2λ+1) groups
• Shift operator techniques for the classification of multipole-phonon states. VII. Self-consistent single step algorithm for R(5) O l eigenstate and eigenvalue determination
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. II. Applications
• Generating functions for polynomial irreducible tensors
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

This page was built for publication: A general approach to the systematic derivation of SO(3) shift operator relations. II. Applications