Interferometric discrepancy between the Schr\"odinger and Klein-Gordon wave equations due to their dissimilar phase velocities

Quantum Physics arXiv:2601.08007 (quant-ph) [Submitted on 12 Jan 2026] Title:Interferometric discrepancy between the Schrödinger and Klein-Gordon wave equations due to their dissimilar phase velocities Authors:Frank Victor Kowalski View a PDF of the paper titled Interferometric discrepancy between the Schr\"odinger and Klein-Gordon wave equations due to their dissimilar phase velocities, by Frank Victor Kowalski View PDF HTML (experimental) Abstract:The Schrödinger equation predicts interference when a beamsplitter's trajectory includes a segment where its speed exceeds the phase velocity of a free non-zero rest mass particle that is in a momentum eigenstate. Such interference is neither possible for electromagnetic waves nor for eigenstates of momentum in the non-relativistic limit of the Klein-Gordon equation since the speed of the beamsplitter cannot exceed the phase velocity of the wave. The dual behavior of reflection and transmission in this case is discussed for dielectric and diffracting beamsplitters. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.08007 [quant-ph] (or arXiv:2601.08007v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.08007 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Frank Kowalski [view email] [v1] Mon, 12 Jan 2026 21:20:53 UTC (106 KB) Full-text links: Access Paper: View a PDF of the paper titled Interferometric discrepancy between the Schr\"odinger and Klein-Gordon wave equations due to their dissimilar phase velocities, by Frank Victor KowalskiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 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?)