1208.0531 (Arman Shokrollahi)

Free Motion of a Dirac Particle with a Minimum Uncertainty in Position    [PDF]

Arman Shokrollahi

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.

View original: http://arxiv.org/abs/1208.0531