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Free Motion of a Dirac Particle with a Minimum Uncertainty in Position by Shokrollahi, Arman is a scholarly article available to read on EtoBox.

What is Free Motion of a Dirac Particle with a Minimum Uncertainty in Position about?

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.

Author

Shokrollahi, Arman

Published

2012

Language

EN