How to Derive the Schrodinger Equation

2006/10/17 by David W. Ward, Ward, David W., Sabine M. Volkmer +1 · 1 voice
Physics and Astronomy · #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Physics Education (physics.ed-ph) #physics.ed-ph #physics.hist-ph

paper · pdf · doi:10.48550/arxiv.physics/0610121

12 pages, 1 figure

Abstract

We illustrate a simple derivation of the Schrodinger equation, which requires only knowledge of the electromagnetic wave equation and the basics of Einstein's special theory of relativity. We do this by extending the wave equation for classical fields to photons, generalize to non-zero rest mass particles, and simplify using approximations consistent with non-relativistic particles.

Discussions

• This paper explains how to derive the Schrödinger equation with zero potential from Maxwell's equations. Is there a way to continue this result and derive the Schrödinger equation with potential? [stackexchange, 2 points]

Related

• Analysis on the Derivation of the Schrödinger Equation with Analogy to Electromagnetic Wave Equation
• A proof of Schrodinger's equation
• Derivation of the Schrödinger equation from QED
• Derivation of Schrodinger's equation from the Hamilton-Jacobi and the Eikonal equations
• A Two-Page "Derivation" of Schroedinger's Equation