BERRYS PHASE IN PILOT-WAVE THEORY

The projective-geometric derivation of Berry's adiabatic geometric pha se 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 ele ctromagnetic vector potential is a gradient, that the phase can be giv en in a locally phase invariant form. The appearance of the Berry conn ection is justified and its physical significance in pilot-wave theory is discussed.