On the Heisenberg and orthosymplectic superalgebras of the harmonic oscillator

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

zbMATH Keywords

quantum harmonic oscillatorsupersymmetric HamiltonianHeisenberg superalgebrainvariance superalgebra

Mathematics Subject Classification ID

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

This page was built for publication: On the Heisenberg and orthosymplectic superalgebras of the harmonic oscillator