Quantization of kinematics and dynamics on with difference operators and a relatedq-deformation of the Witt algebra

DOI10.1088/0305-4470/30/19/022zbMath0926.39009OpenAlexW2076422376MaRDI QIDQ4245788

H. D. Doebner, Reidun Twarock, Vladimir K. Dobrev

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/19/022

zbMATH Keywords

evolution equationsWitt algebradiscrete nonlinear Schrödinger equationquantization method\(q\)-differencesBorel quantizationkinematical algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General quantum mechanics and problems of quantization (81S99) Difference equations, scaling ((q)-differences) (39A13)

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Quantum mechanics with difference operators ⋮ Quasicrystal Lie algebras

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