Klein paradox and antiparticle
Guang-jiong Ni, Weimin Zhou, Jun Yan
TL;DR
This paper clarifies the Klein paradox within the Klein-Gordon equation, demonstrating its self-consistency and uniquely determining antiparticle wave functions without invoking the concept of 'holes'.
Contribution
It provides a new interpretation of the Klein paradox, showing the wave function for antiparticles can be derived without additional concepts, ensuring the equation's self-consistency.
Findings
Klein-Gordon equation remains self-consistent at one-particle level.
Antiparticle wave functions are uniquely determined by the Klein paradox.
No need for the 'hole' concept in explaining antiparticles.
Abstract
The Klein paradox of Klein-Gordon (KG) equation is discussed to show that KG equation is self-consistent even at one-particle level and the wave function for antiparticle is uniquely determined by the reasonable explanation of Klein paradox. No concept of ``hole'' is needed.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Nonlinear Photonic Systems · Quantum Mechanics and Non-Hermitian Physics