O(3) shift operators: The general analysis

DOI10.1063/1.523587zbMath0416.22024OpenAlexW2031889949MaRDI QIDQ3205468

J. W. B. Hughes, J. Yadegar

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1063/1.523587

zbMATH Keywords

orthogonal grouptensor operatorsCasimir operatorshift operatorsnormalizations of operators

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (21)

Irreducible representations of the exceptional Lie superalgebras D(2,1;α) ⋮ 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] ⋮ SU(2)×SU(2) shift operators and representations of SO(5) ⋮ A general approach to the systematic derivation of SO(3) shift operator relations. I. Theory ⋮ A special identity between three \(_{2} F_{1}(a,b;c;4)\) hypergeometric series ⋮ Projective representations of SU(2)ΛR4 ⋮ 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: 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 ⋮ Representations of Osp(2, 1) and the metaplectic representation ⋮ SO(4) shift operators and representations of SO(5) ⋮ SU(3) in an O(3) basis: The use of non-scalar shift-operator products ⋮ 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 ⋮ Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2) ⋮ Irreducible representations of the central extension of Sl(2) ΛT2 ⋮ On the SU2 unit tensor ⋮ Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory

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