Geometry of physical systems on quantized spaces

DOI10.1142/S0219887817500402zbMath1360.81280OpenAlexW2553152500MaRDI QIDQ2980095

Stephen W. Clyde, Seyed M. H. Mansourbeigi, Vida Milani

Publication date: 27 April 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500402

zbMATH Keywords

electromagnetic fieldmetric tensorcurved spacefunctional quantizationquantized spaceQ-meromorphic functionsquantized equations of motion

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55)

Cites Work

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• \(q\)-derivative operators and basic hypergeometric series
• Geodesic curves on quantized manifolds
• Q-analytic functions on quantum spaces
• Discreteq-derivatives and symmetries ofq-difference equations
• Quantum divided power algebra, \(q\)-derivatives, and some new quantum groups

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