\((2+1)\)-dimensional models with a Chern-Simons-like term and noncommutative geometry

DOI10.1016/S0034-4877(99)80029-9zbMath0970.81082OpenAlexW2056092331MaRDI QIDQ1305715

Peter C. Stichel, Jerzy Lukierski, Wojciech J. Zakrzewski

Publication date: 2 December 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80029-9

zbMATH Keywords

conserved quantitiesLagrangian mechanicshigher order Lagrangianelectromagnetic potential terminternal oscillator modes

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry methods in quantum field theory (81T75) Applications of global differential geometry to the sciences (53C80) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (1)

Dirac’s analysis and Ostrogradskii’s theorem for a class of second-order degenerate Lagrangians

Cites Work

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• The Galilean group in \(2+1\) space-times and its central extension
• The quantum structure of spacetime of the Planck scale and quantum fields
• On the classification of quantum Poincaré groups
• Group-theoretical foundations of classical mechanics: the Lagrangian gauge problem
• Action principle for higher order Lagrangians with an indefinite metric
• On unitary ray representations of continuous groups
• Moyal quantization of 2+1-dimensional Galilean systems

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