Irreducible Representations of the Five-Dimensional Rotation Group. II

DOI10.1063/1.1664704zbMath0189.55103OpenAlexW4241580361MaRDI QIDQ5584522

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Publication date: 1968

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

Full work available at URL: https://doi.org/10.1063/1.1664704

zbMATH Keywords

symmetries in microphysics

Related Items (14)

Internal-Labeling Problem ⋮ SU(4)⊃SU(2)⊗SU(2) Projection Techniques ⋮ Representation Theory of SP(4) and SO(5) ⋮ Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5 ⋮ Construction of \(SO(5)\supset SO(3)\) spherical harmonics and Clebsch-Gordan coefficients ⋮ Vector-coherent-state representations of so(5) in an so(3) basis ⋮ Totally symmetric irreducible representations of the group SO(6) in the principal SO(3) subgroup basis ⋮ A special identity between three \(_{2} F_{1}(a,b;c;4)\) hypergeometric series ⋮ Representation of the five-dimensional harmonic oscillator with scalar-valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions ⋮ On the spectrum of a third-order SO(3) scalar in the enveloping algebra of SO(6) ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the subgroup bases SU(2)×SU(2)×U(1) and SU(2)×SU(2) ⋮ A set of commuting operators and R(3) scalars for the complete classification of quadrupole phonon-states ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis ⋮ Explicit O (5) Wigner coefficients

Cites Work

• On the coupling between the dipole and quadrupole vibrations in spherical nuclei
• Irreducible Representations of the Five-Dimensional Rotation Group. I
• Nuclear Constitution and the Interpretation of Fission Phenomena

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