Related papers: Electron Scattering at a Soft Temporal Potential Step

Electron Scattering at a Soft Temporal Potential Step

URL: http://arxiv.org/abs/2403.12972v1
Date: Fri, 26 Jan 2024 13:26:45 GMT
Title: Electron Scattering at a Soft Temporal Potential Step
Authors: Furkan Ok, Christophe Caloz,
Abstract summary: We find solutions in terms of hypergeometric functions, which demonstrate that the observed phenomenon of later forward-wave and backward-wave electron scattering can be obtained experimentally and applied to new electronic devices.
Score: 0.27624021966289597
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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.

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