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A mathematical model for the Aharonov-Bohm effect

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Abstract

In this paper, we show that a unitary representation of the covering group of the Euclidean group E2 of the plane is a good mathematical model for the Aharonov-Bohm effect: We obtain the Hamiltonian as the representative of the Casimir of the Lie algebra of E2 and we explain the shift in the phase difference between the two beams in the interference experiment of Aharonov-Bohm.

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Authors and Affiliations

  1. Department of Physical Mathematics, Mirande Faculty of Sciences, University of Dijon, France

    Christiane Martin

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  1. Christiane Martin
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Martin, C. A mathematical model for the Aharonov-Bohm effect. Lett Math Phys 1, 155–163 (1976). https://doi.org/10.1007/BF00398379

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  • DOI: https://doi.org/10.1007/BF00398379

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