2015/03/31 by C. Xu, Xu, C., Y. J. Li +1 · 1 voice
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum and electron transport phenomena #hep-ph
paper · pdf · doi:10.48550/arxiv.1504.00901
arxiv created 2015/03/31 · openalex publication_date 2015/03/31 · arxiv updated 2015/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.