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Perfect transmission of a Dirac particle in one-dimension double square barrier

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Xu Zhang and Qiang Gu demonstrate that Dirac particles can achieve perfect transmission through a double-barrier system, even at subcritical barrier heights in the Klein zone. Their study reveals a continuous transition between perfect-transmission curves from the above-barrier zone to the Klein zone, challenging the perceived distinction between Klein tunneling and non-relativistic resonant transmission. The findings suggest a deeper connection between these phenomena, supported by bound-state analysis and wave-packet dynamics simulations. The work provides new theoretical insights into the Klein paradox, showing perfect transmission occurs under broader conditions than previously understood. Published in February 2026, the research bridges quantum physics, mesoscale systems, and high-energy theory, offering potential implications for relativistic quantum mechanics.
Perfect transmission of a Dirac particle in one-dimension double square barrier

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Quantum Physics arXiv:2602.23650 (quant-ph) [Submitted on 27 Feb 2026] Title:Perfect transmission of a Dirac particle in one-dimension double square barrier Authors:Xu Zhang, Qiang Gu View a PDF of the paper titled Perfect transmission of a Dirac particle in one-dimension double square barrier, by Xu Zhang and Qiang Gu View PDF HTML (experimental) Abstract:Dirac particles can undergo perfect transmission through a sufficiently high potential barrier in the Klein zone. Although the perfect Klein tunneling (often referred to as the Klein paradox) is similar to the non-relativistic resonant transmission which occurs only when the kinetic energy exceeds the barrier, the underlying mechanism is believed to be fundamentally distinct. In this work, we show that for the relativistic double-barrier model the perfect-transmission curve can pass continuously from the above-barrier zone to the Klein zone. Additionally, in the Klein zone, perfect transmission occurs even for subcritical barrier heights, supported by both bound-state analysis and wave-packet dynamics. These findings suggest a connection between perfect Klein tunneling and resonant transmission, and provide new insights into the physical nature of the Klein paradox. Comments: Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th) Cite as: arXiv:2602.23650 [quant-ph] (or arXiv:2602.23650v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.23650 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Qiang Gu [view email] [v1] Fri, 27 Feb 2026 03:35:32 UTC (876 KB) Full-text links: Access Paper: View a PDF of the paper titled Perfect transmission of a Dirac particle in one-dimension double square barrier, by Xu Zhang and Qiang GuView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cond-mat cond-mat.mes-hall hep-th References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics