Bohmian trajectories and Klein's paradox

Details Bohmian trajectories and Klein's paradox Bohmian trajectories and Klein's paradox

2002-02-19

arxiv.org/abs/quant-ph/0202098v2

J. Phys. A: Math. Gen. 34, 2753-2764 (2001)

Physics

Quantum Physics

14 pages, 3 figures; minor format changes

Scientific paper

10.1088/0305-4470/34/13/307

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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