Phase times and lateral displacements of particle through rectangular symmetric barrier structure

Qiqi Yan, Huaizhe Xu () and Jinsong Li
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Qiqi Yan: Beihang University
Huaizhe Xu: Beihang University
Jinsong Li: Beihang University

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 5, 1-9

Abstract: Abstract Based on wave function linear addition principle of quantum mechanics, the incident wave function was decomposed into two sub-wave functions corresponding to transmission and reflection, and the non-zero initial phases of transmission and reflection were extracted from the two sub-wave functions when particle is not totally transmitted or reflected, which were commonly thought to be zero. Then, the analytical expressions of transmission and reflection phase time and corresponding lateral displacement were derived for a rectangular symmetric barrier structure model. The numerical results show that the relative deviation of the transmission phase time and lateral displacement caused by the non-zeros initial phase is up to 70% compared with the usual zero initial phase assumption for low incident energy and narrow barrier width. Graphical abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00517-y

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