Coulomb oscillation in the hydrogen atom and molecule ion
arXiv:physics/0605258
Abstract
Semiclassical oscillation of the electron through the nucleus of the H atom yields both the exact energy and the correct orbital angular momentum for l=0 quantum states. Similarly, electron oscillation through the nuclei of H2+ accounts for a stable molecule ion with energy close to the quantum mechanical solution. The small discrepancy arises from the neglect of the electron's wave nature.
20 text pages, 10 separate figures (Revised to embed figures)