General Setting for Berry's Phase

Joseph Samuel and Rajendra Bhandari
Phys. Rev. Lett. 60, 2339 – Published 6 June 1988
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Abstract

It is shown that Berry's phase appears in a more general context than realized so far. The evolution of the quantum system need be neither unitary nor cyclic and may be interrupted by quantum measurements. A key ingredient in this generalization is the use of some ideas introduced by Pancharatnam in his study of the interference of polarized light, which, when carried over to quantum mechanics, allow a meaningful comparison of the phase between any two nonorthogonal vectors in Hilbert space.

  • Received 30 November 1987

DOI:https://doi.org/10.1103/PhysRevLett.60.2339

©1988 American Physical Society

Authors & Affiliations

Joseph Samuel and Rajendra Bhandari

  • Raman Research Institute, Bangalore 560080, India

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Issue

Vol. 60, Iss. 23 — 6 June 1988

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