Parastatistics, supersymmetry and parasupercoherent states
From MaRDI portal
Publication:4712424
DOI10.1063/1.528694zbMath0753.17005OpenAlexW2037752251MaRDI QIDQ4712424
Jules Beckers, Nathalie Debergh
Publication date: 25 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528694
Supersymmetric field theories in quantum mechanics (81T60) Coherent states (81R30) Superalgebras (17A70)
Related Items (9)
ON THE GENERALIZED UNITARY PARASUPERSYMMETRY ALGEBRA OF BECKERS–DEBERGH ⋮ Lie structures in parasupersymmetric quantum mechanics: I. The standard supersymmetrization procedure ⋮ 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 ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Parasupersymmetric quantum mechanics of arbitrary order with \(N\) parasupercharges ⋮ Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics ⋮ The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular ``positons ⋮ A new kind of graded Lie algebra and parastatistical supersymmetry
Cites Work
- Dynamical breaking of supersymmetry
- Supercoherent states
- Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
- Symmetries and supersymmetries of the quantum harmonic oscillator
- The construction of B (1) l in terms of vertex operators and a Lie-admissible not associative algebra
- 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
- Supersymmetry, parastatistics, and operator realizations of a Lie algebra
- On chains of orthosymplectic Lie superalgebras and the n-dimensional quantum harmonic oscillator
- On remarkable properties of invariance superalgebras for the harmonic oscillator
- Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
- Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
- A Generalized Method of Field Quantization
- Lie superalgebras
This page was built for publication: Parastatistics, supersymmetry and parasupercoherent states
