ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 11 - 2025 | doi: 10.3389/fams.2025.1636414
This article is part of the Research TopicRecent Mathematical and Theoretical Progress in Quantum MechanicsView all 6 articles
Conditions for perfect transmission of quantum particles across layered heterostructures and resonance effects of an auxiliary well potential
Provisionally accepted
Yaroslav Zolotaryuk*
Alexander V. Zolotaryuk- Bogolyubov Institute for Theoretical Physics (NAN Ukraine), Kyiv, Ukraine
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We consider the bilayer heterostructure composed of the layer described by a rectangle-like potential and the background layer with an arbitrary potential profile given only by a transmission matrix. The conditions for the perfect (zero reflection) transmission of quantum particles across this structure is derived in the form of two basic equations on the rectangular layer parameters and the distance between the layers. The solution of these equations is analysed in detail including some special cases and squeezing approximations. The effect of a rectangular well potential on the tunneling of particles with infinitesimally low energy through the background layer is investigated.
Keywords: One-dimensional quantum systems, Bilayer heterostructures, point interactions, resonant tunneling, Transfer matrix
Received: 27 May 2025; Accepted: 28 Aug 2025.
Copyright: © 2025 Zolotaryuk and Zolotaryuk. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Yaroslav Zolotaryuk, Bogolyubov Institute for Theoretical Physics (NAN Ukraine), Kyiv, Ukraine
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