On the Heisenberg and orthosymplectic superalgebras of the harmonic oscillator
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Publication:3794357
DOI10.1063/1.527867zbMath0649.17004OpenAlexW2049012620MaRDI QIDQ3794357
Véronique Hussin, D. Dehin, Jules Beckers
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527867
General quantum mechanics and problems of quantization (81S99) Superalgebras (17A70) Graded Lie (super)algebras (17B70)
Related Items (7)
On supersymmetry and radial equations for three-dimensional central problems ⋮ Classification of the five-dimensional Lie superalgebras over the real numbers ⋮ On generalized coherent states with maximal symmetry for the harmonic oscillator ⋮ The oscillator model for the Lie superalgebra $\mathfrak {sh}(2|2)$sh(2|2) and Charlier polynomials ⋮ Parastatistics, supersymmetry and parasupercoherent states ⋮ Nonlinear Supersymmetry as a Hidden Symmetry ⋮ On chains of orthosymplectic Lie superalgebras and the n-dimensional quantum harmonic oscillator
Cites Work
- Dynamical breaking of supersymmetry
- Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
- Symmetries and supersymmetries of the quantum harmonic oscillator
- Dynamical and kinematical supersymmetries of the quantum harmonic oscillator and the motion in a constant magnetic field
- Superalgebras and the supersymmetric harmonic oscillator
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