2019/12/31 by Tobias Kramer
Physics and Astronomy · #Astronomy #Atomic nucleus #Bohr model #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Electron #Hydrogen atom #Jupiter (rocket family) #Nucleus #Physics #Quantization (signal processing) #Quantum chaos and dynamical systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Spacecraft #nlin.CD #physics.comp-ph #quant-ph
paper · pdf · doi:10.1088/1742-6596/1612/1/012019
published as Journal of Physics: Conference Series, 012019, Vol.1612, 2020 · 15 pp to appear in the Symmetries in Sciences Symposium Collection Bregenz 2019
openalex created_date 2019/12/26 · arxiv created 2020/06/16 · openalex publication_date 2020/08/01 · arxiv updated 2020/08/31 · openalex updated_date 2026/08/05
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.