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Particle Dynamics on Snyder space

Lei Lu
(
- Alabama U.
)
,
A. Stern
(
- Alabama U.
)

Oct, 2011

17 pages

Published in:

Nucl.Phys.B 860 (2012) 186-205

Published: Jul 1, 2012

e-Print:

1110.4112 [hep-th]

DOI:

10.1016/j.nuclphysb.2012.02.012

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Abstract: (Elsevier)

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.

Note:

22 pages

Noncommutative geometry
Particle dynamics
Hamiltonian formalism
Snyder algebra
Poincare group
time: operator
space-time: Snyder
group: Poincare
Hamiltonian formalism
dynamical system

References(14)

Figures(0)

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