Electron Scattering at a Soft Temporal Potential Step

Fuente: arXiv
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Main Authors: Ok, Furkan, Caloz, Christophe
Format: Preprint
Published: 2024
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author Ok, Furkan
Caloz, Christophe
author_facet Ok, Furkan
Caloz, Christophe
contents We solve the problem of electron scattering at a soft temporal potential step. Given the relativistic nature of the problem, we use the Dirac equation, with its spinor wavefunction. We find solutions in terms of hypergeometric functions, which demonstrate that the observed phenomenon of later forward-wave and backward-wave electron scattering previously reported for a sharp (Heaviside) temporal potential step can be obtained experimentally and applied to new electronic devices.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12972
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Electron Scattering at a Soft Temporal Potential Step
Ok, Furkan
Caloz, Christophe
Quantum Physics
We solve the problem of electron scattering at a soft temporal potential step. Given the relativistic nature of the problem, we use the Dirac equation, with its spinor wavefunction. We find solutions in terms of hypergeometric functions, which demonstrate that the observed phenomenon of later forward-wave and backward-wave electron scattering previously reported for a sharp (Heaviside) temporal potential step can be obtained experimentally and applied to new electronic devices.
title Electron Scattering at a Soft Temporal Potential Step
topic Quantum Physics
url https://arxiv.org/abs/2403.12972