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On the Aharonov-Bohm effect for bound states

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Zeitschrift für Physik

Abstract

The following model is discussed: A charged particle is bound by some potential to the origin of a coordinate system in three-dimensional space, while a shielded magnetic flux threads an axis through the origin, thus producing an Aharonov-Bohm effect. The Hamiltonian, boundary conditions, wave functions, and energy levels for this model are derived, and in particular the properties of the operators of kinetic angular momentum are discussed. The results obtained shed new light on some more general questions pertaining to boundary conditions and to the theory of angular momentum.

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Author notes

  1. Martin Kretzschmar

    Present address: Max-Planck-Institut für Physik und Astrophysik, München 23, Germany

Authors and Affiliations

  1. Department of Physics, Florida State University, Tallahassee, Florida

    Martin Kretzschmar

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  1. Martin Kretzschmar
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Additional information

Work supported by the Office of Naval Research.

The author would like to thank Dr. H.Reeh and Dr. S.Schlieder for careful reading of the manuscript.

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Kretzschmar, M. On the Aharonov-Bohm effect for bound states. Z. Physik 185, 97–110 (1965). https://doi.org/10.1007/BF01380908

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  • DOI: https://doi.org/10.1007/BF01380908

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