Transient capture of electrons in magnetic fields, or: comets in the restricted three-body problem

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  • The motion of celestial bodies in astronomy is closely related to the orbits of electrons encircling an atomic nucleus. Bohr and Sommerfeld presented a quantization scheme of the classical orbits to analyze the eigenstates of the hydrogen atom. Here we discuss another close connection of classical trajectories and quantum mechanical states: the transient dynamics of objects around a nucleus. In this setup a comet (or an electron) is trapped for a while in the vicinity of parent object (Jupiter or an atomic nucleus), but eventually escapes after many revolutions around the center of attraction.
Metadaten
Author:Tobias KramerORCiD
Document Type:In Proceedings
Parent Title (English):Symmetries in Sciences, Bregenz 2019
Year of first publication:2019
ArXiv Id:http://arxiv.org/abs/1912.08593