Bohmian trajectories and Klein's paradox

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, , Citation Gebhard Grübl et al 2001 J. Phys. A: Math. Gen. 34 2753 DOI 10.1088/0305-4470/34/13/307

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1 Institut für Theoretische Physik der Universität Innsbruck, Technikerstr. 25, A-6020 Innsbruck, Austria

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  1. Received 12 September 2000

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0305-4470/34/13/2753

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.

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