On chains of orthosymplectic Lie superalgebras and the n-dimensional quantum harmonic oscillator

DOI10.1063/1.528250zbMath0682.17015OpenAlexW2067117546MaRDI QIDQ4731349

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528250

zbMATH Keywords

Lie superalgebrasroot space decompositionsimple orthosymplectic Lie superalgebrainvariance algebrasn-dimensional quantum harmonic oscillatornonsimple Heisenberg superalgebra

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Graded Lie (super)algebras (17B70)

Related Items (3)

Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Supercharacters and superdimensions of irreducible representations of B(O/s) orthosymplectic simple Lie superalgebras ⋮ Parastatistics, supersymmetry and parasupercoherent states

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
• Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R)
• Dynamical and kinematical supersymmetries of the quantum harmonic oscillator and the motion in a constant magnetic field
• Superalgebras and the supersymmetric harmonic oscillator
• On the Heisenberg and orthosymplectic superalgebras of the harmonic oscillator
• Graded Lie algebras: Generalization of Hermitian representations
• On remarkable properties of invariance superalgebras for the harmonic oscillator

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