The q-deformation of quantum mechanics of one degree of freedom

DOI10.1063/1.531080zbMath0835.46065OpenAlexW2055311536MaRDI QIDQ4836936

Anatol Odzijewicz, Vyacheslav I. Maksimov

Publication date: 21 February 1996

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

Full work available at URL: https://doi.org/10.1063/1.531080

zbMATH Keywords

covariant Berezin symbolsholomorphic representation of \(q\)-deformed Heisenberg-Weyl algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

THE μ-DEFORMED SEGAL–BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM ⋮ The glq(n)-covariant oscillators and q-deformed quantum mechanics in n dimensions ⋮ Time-dependent q-deformed bi-coherent states for generalized uncertainty relations ⋮ ( R , p , q ) -deformed quantum algebras: Coherent states and special functions

Cites Work

• General concept of quantization
• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• Twisted second quantization
• On reproducing kernels and quantization of states
• Twisted canonical anticommutation relations
• Quantum \(E(2)\) group and its Pontryagin dual
• Operator equalities related to the quantum \(E(2)\) group
• Coherent states and geometric quantization
• Hilbert spaces of analytic functions and generalized coherent states

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