On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra

DOI10.1016/j.physleta.2007.02.051zbMath1203.81082OpenAlexW1632715729MaRDI QIDQ620908

I. M. Burban

Publication date: 20 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.02.051

zbMATH Keywords

\(q\)-deformed oscillatorHopf algebra structuremultiparameter deformationsrepresentation of deformed canonical relations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05)

Related Items (11)

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Cites Work

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• \(q\)-deformed bi-local fields. II
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• Multiparameter deformations of GL(N) and Jordan–Schwinger constructions
• Energy spectrum, potential and inertia functions of a generalizedf-oscillator
• P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
• Generalized q-oscillators and their Hopf structures
• Hilbert spaces of analytic functions and generalized coherent states

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