Relativistic precession of quantum elliptical states in the Coulomb potential
arXiv:quant-ph/0101086 · doi:10.1119/1.1397455
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.
10 pages, 3 figures, submitted to Am.J.Phys, revised for style, improved figures