BERRY'S PHASE IN PILOT-WAVE THEORY

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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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