Quantum geometry and quantization on \(U(u(2))\) background. Noncommutative Dirac monopole

DOI10.1016/j.geomphys.2016.03.007zbMath1341.81033arXiv1512.03495OpenAlexW2294821900MaRDI QIDQ295742

Dimitri Gurevich, Pavel A. Saponov

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03495

zbMATH Keywords

Maxwell systemLeibniz ruleDirac monopolenoncommutative configuration spacequantum partial derivativesWeyl-Heisenberg 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) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Methods of noncommutative geometry in general relativity (83C65) Continuity and differentiation questions (26B05)

Related Items (2)

Quantum vector fields via quantum doubles and their applications ⋮ Noncommutative geometry on central extension of U(u(2))

Cites Work

• Unnamed Item
• Braided algebras and their applications to noncommutative geometry
• Derivatives in noncommutative calculus and deformation property of quantum algebras
• Noncommutative geometry and dynamical models on \(U(u(2))\) background
• Reflection equations and \(q\)-Minkowski space algebras
• \(GL_ q(N)\)-covariant braided differential bialgebras
• Wave equations on \(q\)-Minkowski space
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Cayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ type
• Covariant differential calculus on the quantum hyperplane

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