Produção Nacional
Revisado por pares
Dirac solutions for quaternionic potentials
2014; American Institute of Physics; Volume: 55; Issue: 2 Linguagem: Inglês
10.1063/1.4863903
ISSN1527-2427
AutoresStefano De Leo, Sergio Giardino,
Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoThe Dirac equation is solved for quaternionic potentials, i V0 + j W0 (\documentclass[12pt]{minimal}\begin{document}$V_{{0}}\in \mathbb {R}\,,\,\,W_{{0}}\in \mathbb {C}$\end{document}V0∈R,W0∈C). The study shows two different solutions. The first one contains particle and anti-particle solutions and leads to the diffusion, tunneling, and Klein energy zones. The standard solution is recovered taking the complex limit of this solution. The second solution, which does not have a complex counterpart, can be seen as a V0-antiparticle or |W0|-particle solution.
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