Free Motion of a Dirac Particle with a Minimum Uncertainty in Position
General Relativity and Quantum Cosmology
2013-04-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper, we present a covariant, relativistic noncommutative algebra which includes two small deformation parameters. Using this algebra, we obtain a generalized uncertainty principle which predicts a minimal observable length in measure of space-time distances. Then, we introduce a new representation for coordinate and momentum operators which leads to a generalized Dirac equation. The solutions of the generalized Dirac equation for a free particle will be explicitly obtained. We also obtain the modified fermionic propagator for a free Dirac particle.
Keywords
Cite
@article{arxiv.1208.0531,
title = {Free Motion of a Dirac Particle with a Minimum Uncertainty in Position},
author = {Arman Shokrollahi},
journal= {arXiv preprint arXiv:1208.0531},
year = {2013}
}
Comments
14 pages . . . accepted for publication in Reports on Mathematical Physics. arXiv admin note: text overlap with arXiv:1103.1015,arXiv:1103.3805 by different authors