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Classical dynamics in deformed spaces

A. Leznov, J. Mostovoy

hep-tharXiv:hep-th/0208152

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.

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