https://doi.org/10.1140/epjb/s10051-023-00517-y
Regular Article - Solid State and Materials
Phase times and lateral displacements of particle through rectangular symmetric barrier structure
Department of Physics, Beihang University, 100191, Beijing, China
Received:
12
January
2023
Accepted:
3
April
2023
Published online:
22
May
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
