Particle Dynamics on Snyder space

Details Particle Dynamics on Snyder space Particle Dynamics on Snyder space

2011-10-18

arxiv.org/abs/1110.4112v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

We examine Hamiltonian formalism on Euclidean Snyder space. The latter corresponds to a lattice in the quantum theory. For any given dynamical system, it may not be possible to identify time with a real number parametrizing the evolution in the quantum theory. The alternative requires the introduction of a dynamical time operator. We obtain the dynamical time operator for the relativistic (nonrelativistic) particle, and use it to construct the generators of Poincar\'e (Galilei) group on Snyder space.

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