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Berry’s Phase in Pilot-Wave Theory

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Foundations of Physics Letters

Abstract

The projective-geometric derivation of Berry’s adiabatic geometric phase for a single trajectory in the de Broglie-Bohm pilot-wave theory is given. The relation between this phase and the first order nature of pilot-wave theory is discussed. It is shown, in the case where the electromagnetic vector potential is a gradient, that the phase can be given in a locally phase invariant form. The appearance of the Berry connection is justified and its physical significance in pilot-wave theory is discussed.

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Authors and Affiliations

  1. Sub-Faculty of Philosophy, Oxford University, 10 Merton Street, Oxford, OX1 4JJ, UK

    Erik Sjöqvist

  2. Department of Quantum Chemistry, Uppsala University, Box 518, S-751 20, Uppsala, Sweden

    Henrik Carlsen

Authors
  1. Erik Sjöqvist
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  2. Henrik Carlsen
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Correspondence to Erik Sjöqvist.

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Sjöqvist, E., Carlsen, H. Berry’s Phase in Pilot-Wave Theory. Found Phys Lett 11, 179–188 (1998). https://doi.org/10.1023/A:1022410515852

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  • DOI: https://doi.org/10.1023/A:1022410515852

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