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arXiv · 1208.0531

Free Motion of a Dirac Particle with a Minimum Uncertainty in Position

Arman Shokrollahi
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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.

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BibTeXRIS

Arman Shokrollahi. 2012-08-02. Free Motion of a Dirac Particle with a Minimum Uncertainty in Position. https://doi.org/10.1016/s0034-4877(13)60009-9

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