Feynman problem in the noncommutative case

Abstract

In the context of the Feynman's derivation of electrodynamics, we show that noncommutativity allows other particle dynamics than the standard formalism of electrodynamics.

latex, 7 pages, no figures

References in corpus (13)

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• Infinitely many star products to play with
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• Electrodynamics on $\kappa$-Minkowski space-time
• Geodesic equation in $k$-Minkowski spacetime
• Newton's Equation on the kappa space-time and the Kepler problem
• Maxwell's equations on the $\kappa$-Minkowski spacetime and Electric-Magnetic duality
• From Feynman Proof of Maxwell Equations to Noncommutative Quantum Mechanics
• A Variational Formulation of Symplectic Noncommutative Mechanics
• Maxwell's equations and Lorentz force in doubly special relativity
• On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory
• Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism