Operator realizations of the \(q\)-deformed Heisenberg algebra

DOI10.1016/S0375-9601(01)00053-6zbMath0984.81059WikidataQ126589494 ScholiaQ126589494MaRDI QIDQ5935205

Hui-yun Pan, Zu Sen Zhao

Publication date: 20 June 2001

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

zbMATH Keywords

difference operatorsdifferential operators

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

The \(q\)-deformed Heisenberg algebra and \(k\)-fermions ⋮ Inhomogeneity and complexity measures for spatial patterns

Cites Work

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• The \(q\)-deformed vector and \(q\)-deformed outer product
• Multiparametric quantum deformation of the general linear supergroup
• A note on \(q\)-transformation theory
• \(q\)-gravity
• Non-Hermitian realization of a Lie-deformed Heisenberg algebra
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• q-Deformed Phase Space and its Lattice Structure
• On boson algebras as Hopf algebras
• The q-Coulomb problem
• On position and momentum operators in the q-oscillator algebra
• SU_q(1,1) description of vibrational molecular spectra

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