SU(2)×SU(2) shift operators and representations of SO(5)

DOI10.1063/1.525821zbMath0555.22008OpenAlexW2059115290MaRDI QIDQ3218321

J. W. B. Hughes

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525821

zbMATH Keywords

shift operatorsCasimir invariantSU(2) representation

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)

Related Items (6)

Modular representations as a possible basis of finite physics ⋮ A pair of commuting scalars for G(2) ⊇ SU(2)×SU(2) ⋮ The shift operator technique for SO(7) in an [SU(2)3 basis. I. Theory] ⋮ On SU\((2)\times{\mathcal S}_{n\geq 12}\) dual-group tensorial sets and carrier spaces in the multiple invariant physics of multiquantum NMR. I: \(k>n/2\) rank maximal \(\left\{\sum_v T^k(v)\rightarrow \sum_{\widetilde\lambda'} \Lambda_{\cdot,\widetilde\lambda'} [\widetilde\lambda'\right\}\) Liouvillian \(\widetilde{\mathbf U}\times {\mathcal P}\) mappings] ⋮ Why is quantum physics based on complex numbers? ⋮ Finiteness of physics and its possible consequences

Cites Work

• Projective representations of SU(2)ΛR4
• 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
• 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. V. Properties of shift operators in the R(7) 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
• Representations of Osp(2, 1) and the metaplectic representation
• Irreducible representations of the central extension of Sl(2) ΛT2
• 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
• Irreducible Representations of the Five-Dimensional Rotation Group. I
• O(5) Polynomial Bases

This page was built for publication: SU(2)×SU(2) shift operators and representations of SO(5)