We study the classical dynamics of a particle in nonrelativistic Snyder–de Sitter space. We show that for spherically symmetric systems, parameterizing the solutions in terms of an auxiliary time variable, which is a function only of the physical time and of the energy and angular momentum of the particles, one can reduce the problem to the equivalent one in classical mechanics. We also discuss a relativistic extension of these results, and a generalization to the case in which the algebra is realized in flat space.

Classical dynamics on curved Snyder space

MIGNEMI, SALVATORE
2014-01-01

Abstract

We study the classical dynamics of a particle in nonrelativistic Snyder–de Sitter space. We show that for spherically symmetric systems, parameterizing the solutions in terms of an auxiliary time variable, which is a function only of the physical time and of the energy and angular momentum of the particles, one can reduce the problem to the equivalent one in classical mechanics. We also discuss a relativistic extension of these results, and a generalization to the case in which the algebra is realized in flat space.
Hamiltonian dynamics; noncommutative geometry; Snyder space;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/57085
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