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Berry's phase in pilot-wave theory
Sub-Faculty of Philosophy, Oxford University, UK.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Physical Chemistry, Quantum Chemistry.
1998 (English)In: Foundations of physics letters, ISSN 0894-9875, E-ISSN 1572-9524, Vol. 11, no 2, 179-188 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
1998. Vol. 11, no 2, 179-188 p.
Keyword [en]
Pilot-wave theory, Berry's phase, adiabatic dynamics
National Category
Physical Sciences
Research subject
URN: urn:nbn:se:uu:diva-41383DOI: 10.1023/A:1022410515852ISI: 000073832800005OAI: oai:DiVA.org:uu-41383DiVA: diva2:69284
Available from: 2007-02-06 Created: 2007-02-06 Last updated: 2011-09-19

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