A Recrossing-Free Dividing Surface in Quantum Mechanics
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Quantum Physics arXiv:2606.10266 (quant-ph) [Submitted on 9 Jun 2026] Title:A Recrossing-Free Dividing Surface in Quantum Mechanics Authors:Pouya Khazaei View a PDF of the paper titled A Recrossing-Free Dividing Surface in Quantum Mechanics, by Pouya Khazaei View PDF HTML (experimental) Abstract:For nearly a century, a recrossing-free dividing surface in quantum mechanics has been thought impossible. One-way reactive flux seems to require simultaneous trajectory-level knowledge of position and momentum -- an apparent conflict with the uncertainty principle. We show that this obstruction is not fundamental. The exact quantum flow can admit stable and unstable invariant manifolds whose intersection defines a unique bounded trajectory. This trajectory anchors a moving dividing surface that reactive quantum characteristics cross exactly once, producing a one-way flux of the standard quantum probability current. The geometric framework underlying classical reaction dynamics therefore carries over to the exact quantum flow, in a fundamentally quantum form. Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2606.10266 [quant-ph] (or arXiv:2606.10266v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.10266 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Pouya Khazaei [view email] [v1] Tue, 9 Jun 2026 00:22:47 UTC (142 KB) Full-text links: Access Paper: View a PDF of the paper titled A Recrossing-Free Dividing Surface in Quantum Mechanics, by Pouya KhazaeiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: math math-ph math.MP 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?) 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?)