Relativistic precession of quantum elliptical states in the Coulomb potential
Quantum Physics
2009-11-07 v2
Abstract
A special relativistic perturbation to non-relativistic quantum mechanics is shown to lead to the special relativistic prediction for the rate of precession for quantum states in the Coulomb potential. This behavior is shown using SO(4) coherent states as examples. These states are localized on Kepler ellipses and precess in the presence of a relativistic perturbation.
Cite
@article{arxiv.quant-ph/0101086,
title = {Relativistic precession of quantum elliptical states in the Coulomb potential},
author = {Michael G. A. Crawford},
journal= {arXiv preprint arXiv:quant-ph/0101086},
year = {2009}
}
Comments
10 pages, 3 figures, submitted to Am.J.Phys, revised for style, improved figures