Derivation of the Schrodinger equation from fundamental principles

Quantum Physics [Submitted on 27 Mar 2026] Derivation of the Schrodinger equation from fundamental principles Wenzhuo Zhang, Anatoly Svidzinsky 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: 14 pages 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 Journal reference: Encyclopedia 6(2), 41 (2026) Related DOI: https://doi.org/10.3390/encyclopedia6020041 Focus to learn more Submission history From: Anatoly Svidzinsky [view email] [v1] Fri, 27 Mar 2026 23:12:55 UTC (580 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 Change to browse by: hep-ph physics physics.hist-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)