Representation of the five-dimensional harmonic oscillator with scalar-valued U(5) ⊇ SO(5) ⊇ SO(3)–coupled VCS wave functions

DOI10.1063/1.530915zbMath0848.17003OpenAlexW2090881122MaRDI QIDQ4873348

D. J. Rowe, Karl T. Hecht

Publication date: 31 October 1996

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

Full work available at URL: https://doi.org/10.1063/1.530915

zbMATH Keywords

orthogonal groupsunitary groupsirreducible representationswave functionshighest weightsvector coherent state methodsfive-dimensional harmonic oscillator

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)

Related Items (2)

Spherical harmonics and basic coupling coefficients for the group SO(5) in an SO(3) basis ⋮ Vector coherent state theory of the generic representations of so(5) in an so(3) basis

Cites Work

• A rotor expansion of the su(3) Lie algebra
• Vector coherent state theory and its application to the orthogonal groups
• Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis
• Resolution of missing label problems; a new perspective on K-matrix theory
• A double rotor coherent state construction of the Wigner supermultiplet SU(4) contains/implies SU(2)*SU(2)
• Some simple R5 Wigner coefficients and their application
• Irreducible Representations of the Five-Dimensional Rotation Group. II
• The Boson Calculus for the Orthogonal and Symplectic Groups

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