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.
- Received 12 January 2006
DOI:https://doi.org/10.1103/PhysRevA.73.042107
©2006 American Physical Society