Barrier paradox in the Klein zone

2006/04/20 by Stefano De Leo, P. Rotelli, Pietro Rotelli · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Electrodynamics and Casimir Effect #Quantum chaos and dynamical systems #hep-th

paper · pdf · doi:10.1103/physreva.73.042107

10 pages

openalex publication_date 2006/04/20 · arxiv created 2006/07/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential we demonstrate the existence of multiple reflections (and transmissions). The antiparticle solutions which are necessarily localized within the barrier region create new pairs with each reflection at the potential walls. Consequently we encounter a new ``paradox'' for the barrier because successive outgoing wave amplitudes grow geometrically.

Citations

• Klein’s paradox
• Klein's Paradox and Its Resolution

Cited by

• Planar Dirac diffusion
• Relativistic tunneling through opaque barriers
• Quaternionic diffusion by a potential step
• Dirac solutions for quaternionic potentials
• Dynamically assisted Klein tunneling in the Furry picture