Classical dynamics in deformed spaces

Abstract

We consider a 3-parametric linear deformation of the Poisson brackets in classical mechanics. This deformation can be thought of as the classical limit of dynamics in so-called "quantized spaces". Our main result is a description of the motion of a particle in the corresponding Kepler-Coulomb problem.

LaTeX, 13 pages

References in corpus (2)

• Deformation Quantization of Superintegrable Systems and Nambu Mechanics
• Some integrable models in quantized spaces