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Main Authors: Ochiai, Makoto, Shibayama, Shunsuke
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.09916
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author Ochiai, Makoto
Shibayama, Shunsuke
author_facet Ochiai, Makoto
Shibayama, Shunsuke
contents One-dimensional scattering of a wave packet of a relativistic fermion under a temporally oscillating electric field superimposed on a potential step is discussed by using the Furry-picture perturbation theory, where the oscillating electric field is treated as a perturbation. Reflection and transmission probabilities of the wave packet, which in its single-mode limit are consistent with those in the stationary scattering off the potential step alone, are investigated up to the second order. We show that even in the absence of the so-called Klein region, a positive-frequency incoming wave can penetrate the negative-frequency region below the potential step by emitting its energy to the oscillating electric field with a finite tunneling probability.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09916
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamically assisted Klein tunneling in the Furry picture
Ochiai, Makoto
Shibayama, Shunsuke
High Energy Physics - Theory
Quantum Physics
One-dimensional scattering of a wave packet of a relativistic fermion under a temporally oscillating electric field superimposed on a potential step is discussed by using the Furry-picture perturbation theory, where the oscillating electric field is treated as a perturbation. Reflection and transmission probabilities of the wave packet, which in its single-mode limit are consistent with those in the stationary scattering off the potential step alone, are investigated up to the second order. We show that even in the absence of the so-called Klein region, a positive-frequency incoming wave can penetrate the negative-frequency region below the potential step by emitting its energy to the oscillating electric field with a finite tunneling probability.
title Dynamically assisted Klein tunneling in the Furry picture
topic High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2504.09916