Berry's phase

Berry’s geometric phase is a correction to the wave function arising in the study of adiabatic quantum systems; it has been discovered by M. V. Berry. There are analogous effects for other wave phenomena; there has been also much earlier work of Pancharatnam on the related phenomenon in optics. The origin of the Berry’s phase is in nonflatness of a parallel transport which appears in the corresponding phase factors.

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  • Dariusz Chruściński, Andrzej Jamioƚkowski, Geometric phases in classical and quantum mechanics, Progress in Math. Physics 36, Birkhäuser 2004. xiv+333 pp. ISBN: 0-8176-4282-X

  • D. Rohrlich, Berry’s phase, entry in Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy, ed. F. Weinert, K. Hentschel, D. Greenberger and B. Falkenburg (Springer), to appear; arxiv/0708.3749

  • wikipedia: geometric phase

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  • Frank Wilczek, Alfred Shapere, Geometric phases in physics, World Scientific, 1989

  • M. O. Katanaev, On geometric interpretation of the Berry phase, Rus. Phys. J. 54(2012)1082–1092, Izv. VUZov. Fizika 10(2011) 26–35 arxiv/1212.1782

  • Maxim Braverman, The Berry phase and the phase of the determinant, arxiv/1310.6332

category: physics

Last revised on October 24, 2013 at 06:54:38. See the history of this page for a list of all contributions to it.