Physical Review A

Geometrical description of Berry's phase

Don Nelson Page

Published Oct 1, 1987• 177 citations

Abstract

Berry, Simon, and Aharonov and Anandan have discovered, interpreted, and generalized a geometrical phase factor that occurs for a quantum state evolving around a closed path in the projective Hilbert space of rays. Here this phase is directly given in terms of the holonomies of several natural geometrical structures on the projective space.

DOI: 10.1103/physreva.36.3479

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