Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'"
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Quantum Physics arXiv:2606.05197 (quant-ph) [Submitted on 22 May 2026] Title:Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'" Authors:Gabor Vattay View a PDF of the paper titled Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'", by Gabor Vattay View PDF HTML (experimental) Abstract:The recent arXiv posting arXiv:2605.20443 by Lohmiller and Slotine attempts to address the omission of the Bohm quantum potential in their proposed exact equivalence between classical action and the Schrödinger equation. They introduce a position-dependent time transformation to argue that the spatial derivatives of the probability density amplitude vanish for the Feynman kernel. A rigorous mathematical examination of this transformation reveals a violation of the multivariable chain rule. The spatial derivatives do not vanish in the physical reference frame. The mathematical framework presented by the authors remains identical to the well-established semiclassical Van Vleck propagator, which is exact exclusively for quadratic potentials. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.05197 [quant-ph] (or arXiv:2606.05197v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.05197 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Gabor Vattay [view email] [v1] Fri, 22 May 2026 05:08:15 UTC (3 KB) Full-text links: Access Paper: View a PDF of the paper titled Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'", by Gabor VattayView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)