Coulomb oscillation in the hydrogen atom and molecule ion

2006/05/31 by Bucher, Manfred
#Chemical Physics (physics.chem-ph) #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph)

paper · doi:10.48550/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.

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