Lie structures in parasupersymmetric quantum mechanics: I. The standard supersymmetrization procedure

DOI10.1063/1.529245zbMath0735.17003OpenAlexW2074816369MaRDI QIDQ3980911

Nathalie Debergh, Jules Beckers

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529245

zbMATH Keywords

Lie parasuperalgebrasstandard supersymmetrization

Mathematics Subject Classification ID

Superalgebras (17A70) Geometric quantization (53D50)

Related Items (4)

Lie structures in parasupersymmetric quantum mechanics: II. The spin-orbit coupling supersymmetrization procedure ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ Generalized fermions and Lie superalgebras spl(m/n) ⋮ Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics

Cites Work

• Dynamical breaking of supersymmetry
• Does Accidental Degeneracy Imply a Symmetry Group?
• Dynamical parasuperalgebras of parasupersymmetric harmonic oscillator, cyclotron motion and Morse Hamiltonians
• Symmetries and supersymmetries of the quantum harmonic oscillator
• Parastatistics and the Clifford algebra unitary group approach to the many-electron correlation problem
• Lie structures in parasupersymmetric quantum mechanics: II. The spin-orbit coupling supersymmetrization procedure
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Parastatistics, supersymmetry and parasupercoherent states
• Hall-Littlewood symmetric functions and the BKP equation
• A Generalized Method of Field Quantization
• Lie superalgebras

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