Particle dynamics on Snyder space |
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Authors: | Lei Lu A Stern |
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Institution: | Department of Physics and Astronomy, University of Alabama, Tuscaloosa, AL 35487, United States |
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Abstract: | 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 Poincaré (Galilei) group on Snyder space. |
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Keywords: | Noncommutative geometry Particle dynamics Hamiltonian formalism Snyder algebra Poincare group |
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