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Quantum corrections and multioccupancy in a semi-classical gas

arXiv Quantum Physics
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⚡ Quantum Brief
Loris Ferrari’s March 2026 study introduces a framework linking quantum corrections in semi-classical gases to a dimensionless parameter η, defined as the ratio of De Broglie’s thermal wavelength cubed to specific volume. The work reveals that η directly quantifies multioccupancy in momentum space, where particles cluster into "pseudo-molecules"—groups sharing nearly identical momenta under continuous spectrum approximations. These pseudo-molecules emerge spontaneously from multiple scattering events among non-interacting particles, challenging classical assumptions about independent particle behavior in dilute gases. A chemical-physical approach bridges η to observable multioccupancy, offering a concrete interpretation of quantum corrections as statistical deviations from classical ideal gas laws. The findings suggest a novel way to model quantum effects in semi-classical systems, with potential implications for understanding weakly interacting gases at finite temperatures.
Quantum corrections and multioccupancy in a semi-classical gas

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Quantum Physics arXiv:2603.20703 (quant-ph) [Submitted on 21 Mar 2026] Title:Quantum corrections and multioccupancy in a semi-classical gas Authors:Loris Ferrari View a PDF of the paper titled Quantum corrections and multioccupancy in a semi-classical gas, by Loris Ferrari View PDF HTML (experimental) Abstract:The quantum corrections to the behavior of a semi-classical gas can be expressed as a power series of the ratio $eta$ between the cube of De Broglie's thermal wavelength and the specific volume. The connection between $eta$ and the multioccupancy of quantum states is the aim of the present work. By means of a chemical/physical approach it is possible to associate $eta$ to the concrete realization of multioccupancy in momentum space, through the formation of what we call "pseudo-molecules", i.e. multiplets of particles sharing momenta whose differences are negligeable in the continuous spctrum approximation. The pseudo-molecules result as casual consequences of multiple scattering processes among non interacting (scattering apart) particles. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.20703 [quant-ph] (or arXiv:2603.20703v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.20703 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Loris Ferrari [view email] [v1] Sat, 21 Mar 2026 08:00:43 UTC (9 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum corrections and multioccupancy in a semi-classical gas, by Loris FerrariView 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?)

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Source: arXiv Quantum Physics