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American Journal of Physics

Berry’s geometric phase and motional fields

Eugene D. Commins

Published Dec 1, 1991• 40 citations
Publisher

Abstract

An experiment is described that provides an example of how Berry’s geometric phase arises from motion of a particle with a magnetic moment in an electric field and an inhomogeneous magnetic field.
DOI
10.1119/1.16616

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We consider the dynamics of a particle carrying a magnetic moment in a strong magnetic field whose direction varies slowly in space. In particular, we discuss the geometric Lorentz-type and electric-type forces that were discovered in studies of Berry's phase. We show that the Lorentz-type force felt by the particle is caused by a small misalignment of the magnetic moment with respect to the magnetic field while the electric-type force is the time average of a strong oscillatory force induced by the precession of the magnetic moment.