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arxiv: 1504.00901 · v1 · submitted 2015-03-31 · ✦ hep-ph

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QFT Treatment of the Klein Paradox

C. Xu , Y. J. Li
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classification ✦ hep-ph
keywords kleinparadoxpotentialquantumbarrierfinitesquarestep
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It is well known that, Klein paradox is one of the most exotic and counterintuitive consequences of quantum theory. Nevertheless, many discussions about the Klein paradox are based upon single-particle Dirac equation in quantum mechanics rather than quantum field method. By using the path integral formalism, we evaluate the reflection and transmission coefficients up to the lowest order for the electron scattering by the finite square barrier potential. Within the context of assuming the step potential is the limiting case of the finite square barrier potential, we explain the Klein paradox that is caused by the ill-definition of the step potential.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hydrodynamic Analog of the Klein Paradox: Vacuum Instability and Pair Production in a Linear Elastic Medium

    gr-qc 2026-04 unverdicted novelty 4.0

    An elastic-medium analog shows vacuum instability and pair production as mechanical breakdown above V = 2mc², matching the Klein paradox transmission coefficients and Schwinger limit.