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

Abstract

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 an parent object (Jupiter or an atomic nucleus), but eventually escapes after many revolutions around the center of attraction.

15 pp to appear in the Symmetries in Sciences Symposium Collection Bregenz 2019

References in corpus (15)

• Imaging Magnetic Focusing of Coherent Electron Waves
• Surface localization of gas sources on comet 67P/Churyumov-Gerasimenko based on DFMS/COPS data
• Seasonal changes of the volatile density in the coma and on the surface of comet 67P/Churyumov-Gerasimenko
• Electron propagation in crossed magnetic and electric fields
• Outgassing induced acceleration of comet 67P/Churyumov-Gerasimenko
• Prevailing dust-transport directions on comet 67P/Churyumov-Gerasimenko
• The photoelectric effect in external fields
• Wave packet approach to transport in mesoscopic systems
• Comet 67P/Churyumov-Gerasimenko rotation changes derived from sublimation induced torques
• An efficient and accurate method to obtain the energy-dependent Green function for general potentials
• Two interacting electrons in a magnetic field: comparison of semiclassical, quantum, and variational solutions
• Time-dependent approach to transport and scattering in atomic and mesoscopic physics
• Use of Lambert's Theorem for the n-Dimensional Coulomb Problem
• Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot
• Matter waves from localized quantum sources