Derivation of the Schrodinger equation from fundamental principles
Quantum Physics
2026-04-23 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
History and Philosophy of Physics
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.
Keywords
Cite
@article{arxiv.2603.27041,
title = {Derivation of the Schrodinger equation from fundamental principles},
author = {Wenzhuo Zhang and Anatoly Svidzinsky},
journal= {arXiv preprint arXiv:2603.27041},
year = {2026}
}
Comments
14 pages