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Quantum mechanical time evolution for Coulomb potentials

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Czechoslovak Journal of Physics B Aims and scope

Abstract

We give a simple explicit time evolution for a quantum particle in the presence of a long-range Coulomb potential. It is a good approximation of the true propagator on semi-infinite time intervals or for all times. The estimates are uniform on large sets of states characterized by their localization in (classical) phase space. Nevertheless the operators are simple enough to allow good control of the evolving state.

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Authors and Affiliations

  1. Institut für Mathematik I, Freie Universität, Arnimallee 2-6, D-1000, Berlin 33, West Germany

    V. Enss

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  1. V. Enss
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Enss, V. Quantum mechanical time evolution for Coulomb potentials. Czech J Phys 37, 285–296 (1987). https://doi.org/10.1007/BF01597256

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  • DOI: https://doi.org/10.1007/BF01597256

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