Bohmian trajectories and Klein's paradox

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 appea...

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Bibliographic Details
Published inarXiv.org
Main Authors Gebhard Gruebl, Moser, Raimund, Rheinberger, Klaus
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.02.2002
Subjects
Asymptotic properties
Plane waves
Scattering
Trajectories
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0202098