\(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics.

DOI10.1016/S0375-9601(98)00046-2zbMath1044.81579arXivquant-ph/9802066OpenAlexW2224594407MaRDI QIDQ1966619

Christiane Quesne, Nicolas Vansteenkiste

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9802066

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Supersymmetry and quantum mechanics (81Q60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (18)

Generalized coherent states associated with the \(C_ \lambda\)-extended oscillator. ⋮ Degenerate discrete energy spectra and associated coherent states ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ REDUCIBILITY AND BOSONIZATION OF PARASUPERSYMMETRIC AND ORTHOSUPERSYMMETRIC QUANTUM MECHANICS ⋮ q‐Deformed Quantum Mechanics Based on the q‐Addition ⋮ Fock spaces for the complex Dunkl operator and deformed \(\mathrm{su}(1,1)\) algebra ⋮ The \(\kappa\)-deformed Boson algebra and parafermion algebra ⋮ \(C_ \lambda\)-extended harmonic oscillator and (para)supersymmetric quantum mechanics. ⋮ Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials ⋮ \(\kappa\)-deformed photon and Jaynes-Cummings model ⋮ EXTENDED WEYL–HEISENBERG ALGEBRA AND RUBAKOV–SPIRIDONOV SUPERALGEBRA: ANYONIC REALIZATIONS ⋮ \(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials ⋮ The \(q\)-boson algebra and \(su_q(2)\) algebra based on \(q\)-deformed binary operations ⋮ Generalized fermion algebra ⋮ ON THE C_λ-EXTENDED w_∞-SYMMETRY ⋮ Spectrum generating algebra of the \(C_{\lambda}\)-extended oscillator and multiphoton coherent states ⋮ The \(f\)-deformation. I: \(f\)-deformed classical mechanics ⋮ Trends in Supersymmetric Quantum Mechanics

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