Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin
Quantum Physics
2010-06-22 v1
Abstract
The term describing the coupling between total angular momentum and energy-momentum in the hydrogen atom is isolated from the radial Dirac equation and used to replace the corresponding orbital angular momentum coupling term in the radial K-G equation. The resulting spin-corrected K-G equation is a second order differential equation that contains no matrices. It is solved here to generate the same energy eigenvalues for the hydrogen atom as the Dirac equation.
Cite
@article{arxiv.1006.3971,
title = {Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin},
author = {Robert J. Ducharme},
journal= {arXiv preprint arXiv:1006.3971},
year = {2010}
}
Comments
6 pages