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arxiv: 1311.6673 · v2 · pith:JFBALBLOnew · submitted 2013-11-26 · 🧮 math-ph · hep-th· math.MP· quant-ph

Dirac solutions for quaternionic potentials

classification 🧮 math-ph hep-thmath.MPquant-ph
keywords quaternionicsolutioncomplexdiracpotentialssolutionsanti-particlescontains
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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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