Shift operator techniques for the classification of multipole-phonon states: IV. Properties of shift operators in the G2 group

DOI10.1063/1.524706zbMath0444.22012OpenAlexW4234592052MaRDI QIDQ3887691

Guido Vanden Berghe, H. E. De Meyer

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524706

zbMATH Keywords

shift operatormultipole-phonon states\(G_2\) group

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) Atomic physics (81V45)

Related Items (7)

The shift operator technique for SO(7) in an [SU(2)3 basis. I. Theory] ⋮ SU(2)×SU(2) shift operators and representations of SO(5) ⋮ A general approach to the systematic derivation of SO(3) shift operator relations. II. Applications ⋮ 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. III. Shift operators of second degree in the tensor components ⋮ Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators

Cites Work

• O(3) shift operators: The general analysis
• Shift-operator techniques for the classification of multipole-phonon states. I. Properties of shift operators in the R(5) group
• Shift-operator techniques for the classification of multipole-phonon states. II. Eigenvalues of the quadrupole shift operator O0l
• Shift operator techniques for the classification of multipole-phonon states. III. The quadrupole-phonon eigenstates of O0l

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