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Vortex dynamics in superfluids and the Berry phase

Author

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  • Thouless, D.J.
  • Ao, P.
  • Niu, Q.

Abstract

There is a close analogy between the dynamics of electrons in a strong magnetic field and the dynamics of quantized vortices in superfluids and superconductors. In both systems an important part is played by a term in the Lagrangian linear in velocity that corresponds to a Berry phase in the quantum theory. This Berry phase can be calculated from the usual trial wave function for a vortex. This has important consequences for quantum tunneling of vortices, and leads unambiguously to the form of the Magnus force in a superconductor.

Suggested Citation

  • Thouless, D.J. & Ao, P. & Niu, Q., 1993. "Vortex dynamics in superfluids and the Berry phase," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 42-49.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:42-49
    DOI: 10.1016/0378-4371(93)90503-V
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    1. Cohen, I. Bernard, 1956. "Studies in Ancient Technology. By R. J. Forbes. Leiden, E. J. Brill, 1955. 3 vols. Pp. x + 194; vi + 215; vi + 268. 52 guilders," Business History Review, Cambridge University Press, vol. 30(2), pages 238-240, June.
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