Dirac solutions for quaternionic potentials
arXiv:1311.6673 · doi:10.1063/1.4863903
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.
arXiv comment12 pages, 3 figures
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- Coherent state Quantization of quaternions
- Quaternionic particle in a relativistic box
- Quaternionic quantum particles
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- Quaternionic perturbation theory
- Quaternionic elastic scattering
- Quaternionic Dirac free particle
- Quaternionic fermionic field
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