Semiclassical Propagation and the Dynamics of Configuration Space
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Quantum Physics arXiv:2605.24373 (quant-ph) [Submitted on 23 May 2026] Title:Semiclassical Propagation and the Dynamics of Configuration Space Authors:V.S. Morales-Salgado View a PDF of the paper titled Semiclassical Propagation and the Dynamics of Configuration Space, by V.S. Morales-Salgado View PDF HTML (experimental) Abstract:This work explores the non-relativistic quantum propagator $K(x,t)$ as a solution of the Schrödinger equation. We suppose that the propagator takes the form ${\rm exp}\left(\frac{\mathrm{i}}{\hbar}S+R\right)$, generalizing the usual WKB ansatz by allowing an additive exponent $R$ whose role as a measure of quantumness is investigated. Since $S$ is subject to the assumption that it is a solution of the Hamilton-Jacobi equation, here we are further interested in the role of $R$ and its interpretation as a measure of quantumness. Several systems are studied as concrete examples to illustrate this approach. Furthermore, a proposal to generalize it for fields is put forward. This is tested for some simple systems. Finally, the possibilities to use this approach for the case of systems whose dynamics are controlled by the Hamiltonian constraint are analyzed. Subjects: Quantum Physics (quant-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph) Cite as: arXiv:2605.24373 [quant-ph] (or arXiv:2605.24373v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.24373 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Vicente Said Morales Salgado [view email] [v1] Sat, 23 May 2026 03:29:37 UTC (20 KB) Full-text links: Access Paper: View a PDF of the paper titled Semiclassical Propagation and the Dynamics of Configuration Space, by V.S. Morales-SalgadoView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: gr-qc hep-th 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?)