English

Coulomb oscillation in the hydrogen atom and molecule ion

History and Philosophy of Physics 2007-05-23 v2 Chemical Physics

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.

Keywords

Cite

@article{arxiv.physics/0605258,
  title  = {Coulomb oscillation in the hydrogen atom and molecule ion},
  author = {Manfred Bucher},
  journal= {arXiv preprint arXiv:physics/0605258},
  year   = {2007}
}

Comments

20 text pages, 10 separate figures (Revised to embed figures)

R2 v1 2026-07-22T19:10:30.156Z