Bohmian trajectories and Klein's paradox

Gebhard Gruebl, Raimund Moser, Klaus Rheinberger

Published 2002-02-19, updated 2002-02-20Version 2

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.