Dirac solutions for quaternionic potentials
Mathematical Physics
2014-02-12 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
In this paper, the quaternionic Dirac equation is solved for quaternionic potentials, iV0+jW0. The study shows two different solutions. The first solution contains particles and anti-particles and leads to the diffusion, tunneling and Klein energy zones. The complex limit is recovered from this solution. The second solution, which does not have a complex counterpart, can be seen as a V0-antiparticle or |W0|-particle.
Keywords
Cite
@article{arxiv.1311.6673,
title = {Dirac solutions for quaternionic potentials},
author = {Stefano De Leo and Sergio Giardino},
journal= {arXiv preprint arXiv:1311.6673},
year = {2014}
}
Comments
12 pages, 3 figures