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Phys. Rev. A 53, 3805–3807 (1996)

Geometric and nongeometric effects in an unbounded mechanical system

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Zhen Qi
Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208

See Also: Erratum

Received 7 December 1995; published in the issue dated June 1996

An extension of a model proposed by Wilczek and Zee [Phys. Rev. Lett. 52, 2111 (1984)] is studied in this paper. It is shown that slow variation of an adiabatic parameter causes both geometric and nongeometric (i.e., rate dependent) effects in the model that do not vanish in the adiabatic limit. The latter effect is due to the fact that small perturbations of order ε may accumulate over the period of +ε[0,1/ε] if motion of the system is unbounded. Interesting relations between these two effects are discussed. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.53.3805
DOI:
10.1103/PhysRevA.53.3805
PACS:
03.65.-w

See Also

Erratum: Zhen Qi, Erratum: Geometric and nongeometric effects in an unbounded mechanical system [Phys. Rev. A 53, 3805 (1996)], Phys. Rev. A 55, 1555 (1997).