Downward relativistic potential step and phenomenological account of Bohmian trajectories of the Klein paradox
Mohammad Razavi, Maedeh Mollai, Safa Jami, and Ali Ahanj
TL;DR
This paper investigates fermion scattering from a downward potential step using the Dirac equation, and employs Bohmian mechanics to analyze and resolve the Klein paradox through phenomenological trajectories.
Contribution
It introduces a Bohmian interpretation approach to the Klein paradox, providing a new phenomenological account of particle trajectories in this context.
Findings
Some particles reflect instead of falling off the step
Bohmian trajectories offer a resolution to the Klein paradox
Particles can remain localized near the potential step
Abstract
The Dirac equation has been applied to fermions scattering from the downward potential step. The results show some particles do not fall off the edge of the step and reflect. Also, based on de Broglie-Bohm interpretation of quantum mechanics (Bohmian mechanics) and Bohmian trajectories we have resolved the problem. Lastly, a phenomenological study of the Bohmian trajectory of the Klein paradox has been discussed.
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