Finite Difference-Time Domain solution of Dirac equation and the Klein Paradox
Quantum Physics
2009-01-26 v1
Abstract
The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the arrangements associated with the Klein paradox: potential step barriers and linear potentials. No Klein paradox is observed.
Cite
@article{arxiv.0901.3765,
title = {Finite Difference-Time Domain solution of Dirac equation and the Klein Paradox},
author = {Neven Simicevic},
journal= {arXiv preprint arXiv:0901.3765},
year = {2009}
}