Derivation of the Schrodinger equation from fundamental principles
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Quantum Physics arXiv:2603.27041 (quant-ph) [Submitted on 27 Mar 2026] Title:Derivation of the Schrodinger equation from fundamental principles Authors:Wenzhuo Zhang, Anatoly Svidzinsky View a PDF of the paper titled Derivation of the Schrodinger equation from fundamental principles, by Wenzhuo Zhang and Anatoly Svidzinsky View PDF Abstract:Schrodinger path to the quantum mechanical wave equation was heuristic and guided more by physical intuition than formal deduction. Here we derive the Schrodinger equation for the particle wave function, assuming that it has a meaning of the probability amplitude to find the particle at time t at point r and the relations E=hw, p=hk expressing particle energy and momentum in terms of the frequency and wave vector of the associated probability wave. Comments: Subjects: Quantum Physics (quant-ph); High Energy Physics - Phenomenology (hep-ph); History and Philosophy of Physics (physics.hist-ph) Cite as: arXiv:2603.27041 [quant-ph] (or arXiv:2603.27041v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.27041 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Encyclopedia 6(2), 41 (2026) Related DOI: https://doi.org/10.3390/encyclopedia6020041 Focus to learn more DOI(s) linking to related resources Submission history From: Anatoly Svidzinsky [view email] [v1] Fri, 27 Mar 2026 23:12:55 UTC (580 KB) Full-text links: Access Paper: View a PDF of the paper titled Derivation of the Schrodinger equation from fundamental principles, by Wenzhuo Zhang and Anatoly SvidzinskyView PDF view license Current browse context: quant-ph new | recent | 2026-03 Change to browse by: hep-ph physics physics.hist-ph 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?)