Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis

DOI10.1063/1.530460zbMath0808.22006OpenAlexW2084294492MaRDI QIDQ4314285

D. J. Rowe

Publication date: 10 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530460

zbMATH Keywords

dualityorthogonal groupsirreducible representationsharmonic oscillatormatrix elementssubgroup chainstraceless boson operatorsvector-coherent-state wave functions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (1)

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

Cites Work

• On the Segal-Shale-Weil representations and harmonic polynomials
• Vector-coherent-state theory as a theory of induced representations
• Vector-coherent-state representations of so(5) in an so(3) basis
• On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis
• Canonical Definition of Wigner Coefficients in Un
• The Boson Calculus for the Orthogonal and Symplectic Groups
• Linear Canonical Transformations and Their Unitary Representations

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