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Phys. Rev. Lett. 69, 3593–3597 (1992)

Origin of the geometric forces accompanying Berry’s geometric potentials

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Yakir Aharonov and Ady Stern
Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel 69978

Received 12 May 1992; published in the issue dated 21 December 1992

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.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.3593
DOI:
10.1103/PhysRevLett.69.3593
PACS:
03.65.-w, 41.20.Gz