Bohmian trajectories and Klein's paradox
Quantum Physics
2009-11-07 v2 Mathematical Physics
math.MP
Abstract
We compute the Bohmian trajectories of the incoming scattering plane waves for Klein's potential step in explicit form. For finite norm incoming scattering solutions we derive their asymptotic space-time localization and we compute some Bohmian trajectories numerically. The paradox, which appears in the traditional treatments of the problem based on the outgoing scattering asymptotics, is absent.
Cite
@article{arxiv.quant-ph/0202098,
title = {Bohmian trajectories and Klein's paradox},
author = {Gebhard Gruebl and Raimund Moser and Klaus Rheinberger},
journal= {arXiv preprint arXiv:quant-ph/0202098},
year = {2009}
}
Comments
14 pages, 3 figures; minor format changes