Are quantum trajectories suitable for semiclassical approximations?
Summarize this article with:
Quantum Physics arXiv:2603.10206 (quant-ph) [Submitted on 10 Mar 2026] Title:Are quantum trajectories suitable for semiclassical approximations? Authors:Alfredo M. Ozorio de Almeida View a PDF of the paper titled Are quantum trajectories suitable for semiclassical approximations?, by Alfredo M. Ozorio de Almeida View PDF HTML (experimental) Abstract:The quantum trajectories in the de Broglie-Bohm formulation of quantum mechanics depend on an additional quantum potential derived from the full wave solution of Schrödinger's equation. The task of supplying collectively all the correct quantum results strongly alters the characteristics of the corresponding classical trajectories, which underlie semiclassical approximations to the evolving wave function. Both classical and quantum trajectories are here considered to be conservative with no influence of an external environment, even though this is the source of eventual classicality in quantum systems, that is, decoherence. The concept of integrability, closely correspondent in classical and quantum mechanics, is not preserved by the quantum trajectories. General systems, in which classical chaotic motion participates, are much harder to treat semiclassically, but quantum trajectories can be chaotic even for integrable systems. This discrepancy between the character of classical and quantum trajectories in the de Broglie-Bohm interpretation does not clarify the singular classical-quantum transition. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.10206 [quant-ph] (or arXiv:2603.10206v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.10206 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Philosophical Magazine, 1-10 (2026) Related DOI: https://doi.org/10.1080/14786435.2026.2627728 Focus to learn more DOI(s) linking to related resources Submission history From: Alfredo M Ozorio de Almeida [view email] [v1] Tue, 10 Mar 2026 20:15:23 UTC (24 KB) Full-text links: Access Paper: View a PDF of the paper titled Are quantum trajectories suitable for semiclassical approximations?, by Alfredo M. Ozorio de AlmeidaView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 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?)