Bohmian trajectories and Klein's paradox

Authors:
  • GGGebhard Gruebl
    Gebhard Gruebl
  • RMRaimund Moser
    Raimund Moser
  • KRKlaus Rheinberger
    Klaus Rheinberger
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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.