Above Barrier Dirac Multiple Scattering and Resonances

Details Above Barrier Dirac Multiple Scattering and Resonances Above Barrier Dirac Multiple Scattering and Resonances

2006-07-24

arxiv.org/abs/hep-th/0607175v1

Eur.Phys.J.C46:551-558,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure

Scientific paper

10.1140/epjc/s2006-02511-1

We extend an above barrier analysis made with the Schrodinger equation to the Dirac equation. We demonstrate the perfect agreement between the barrier results and back to back steps. This implies the existence of multiple (indeed infinite) reflected and transmitted wave packets. These packets may be well separated in space or partially overlap. In the latter case interference effects can occur. For the extreme case of total overlap we encounter resonances. The conditions under which resonance phenomena can be observed is discussed and illustrated by numerical calculations.

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