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Phys. Rev. Lett. 52, 2111–2114 (1984)

Appearance of Gauge Structure in Simple Dynamical Systems

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Frank Wilczek and A. Zee*
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Received 9 April 1984; published in the issue dated 11 June 1984

Generalizing a construction of Berry and Simon, we show that non-Abelian gauge fields arise in the adiabatic development of simple quantum mechanical systems. Characteristics of the gauge fields are related to energy splittings, which may be observable in real systems. Similar phenomena are found for suitable classical systems.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.52.2111
DOI:
10.1103/PhysRevLett.52.2111
PACS:
03.65.Bz, 11.15.-q

*On leave from University of Washington, Seattle, Wash. 98195. Present address: Institute for Advanced Study, Princeton, N. J. 08540.