Barrier Paradox in the Klein Zone

Details Barrier Paradox in the Klein Zone Barrier Paradox in the Klein Zone

2006-07-24

arxiv.org/abs/hep-th/0607176v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1103/PhysRevA.73.042107

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.

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