Planar Dirac diffusion

Abstract

We present the results of the planar diffusion of a Dirac particle by step and barrier potentials, when the incoming wave impinges at an arbitrary angle with the potential. Except for right-angle incidence this process is characterized by the appearance of spin flip terms. For the step potential, spin flip occurs for both transmitted and reflected waves. However, we find no spin flip in the transmitted barrier result. This is surprising because the barrier result may be derived directly from a two-step calculation. We demonstrate that the spin flip cancellation indeed occurs for each particle (wave packet) contribution.

6 pages, 2 figures

References in corpus (6)

• Unified time analysis of photon and (nonrelativistic) particle Tunnelling, and the Superluminal group-velocity problem
• Barrier Paradox in the Klein Zone
• Dirac Equation Studies in the Tunnelling Energy Zone
• Above Barrier Dirac Multiple Scattering and Resonances
• Relativistic Tunneling Through Two Successive Barriers
• Timelapse

Cited by in corpus (7)

• Dirac solutions for quaternionic potentials
• $SU(2)\otimes SU(2)$ bi-spinor structure entanglement induced by a step potential barrier scattering in two-dimensions
• Relativistic tunneling through opaque barriers
• A study of transit times in Dirac tunneling
• Relative helicity phases in planar Dirac scattering
• Scattering of relativistic electrons and analogies with optical phenomena: A study of longitudinal and transverse shifts at step potentials
• Antiparticle creation in tunneling