Resolution of the Klein Paradox

Abstract

We present a resolution of the Klein paradox within the framework of one-particle relativistic quantum mechanics. Not only reflection becomes total but the vacuum remains neutral as well. This is accomplished by replacing the pair production process with virtual negative energy "incidence" within the barrier in a similar manner to what is done with image charges in electrostatic and virtual sources in optics.

9 pages, 8 figures

References in corpus (2)

• Chiral tunneling and the Klein paradox in graphene
• Barrier Paradox in the Klein Zone

Cited by in corpus (8)

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• Relativistic Double Barrier Problem with Three Sub-Barrier Transmission Resonance Regions
• Dirac particle in a square well and in a box
• The stationary Dirac equation as a generalized Pauli equation for two quasiparticles
• Generalized Uncertainty Principle, Modified Dispersion Relation and Barrier penetration by a Dirac particle
• A Fundamental Form of the Schrodinger Equation
• The Four Dimensional Dirac Equation in Five Dimensions
• Condensed-matter analogs of the Sauter--Schwinger effect