2006/03/30 by Stefano De Leo, P. Rotelli, Pietro Rotelli · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Topological Materials and Phenomena #hep-th
paper · pdf · doi:10.1140/epjc/s2006-02511-1
published as Eur.Phys.J.C46:551-558,2006 · 12 pages, 1 figure
openalex publication_date 2006/03/30 · arxiv created 2006/07/24 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.