q deformations of the oscillator

DOI10.1063/1.529827zbMath0770.58034OpenAlexW2012720578MaRDI QIDQ4697253

Robert Finkelstein

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.529827

zbMATH Keywords

harmonic oscillatorssymmetry groupsHermite polynomialssupersymmetryPoincaré groups

Mathematics Subject Classification ID

Related Items (3)

q-Deformation of the Coulomb problem ⋮ Transformation theory of the q-oscillator ⋮ Newton-equivalent Hamiltonians for the harmonic oscillator

Cites Work

• Invariant operators for the n-dimensional super-Poincaré algebra and the decomposition of the scalar superfield
• Quantum deformations of the Heisenberg equations of motion
• The q-Hermite polynomial and the representations of Heisenberg and quantum Heisenberg algebras
• Grassmannian Legendre functions

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