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arXiv · 1311.6673

Dirac solutions for quaternionic potentials

Stefano De Leo·Sergio Giardino
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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.

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Stefano De Leo, Sergio Giardino. 2014-02-11. Dirac solutions for quaternionic potentials. https://doi.org/10.1063/1.4863903

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