International Journal of Theoretical Physics

, Volume 31, Issue 6, pp 937–943

Three-point phase, symplectic measure, and Berry phase

  • V. Cantoni
  • L. Mistrangioli
Article

DOI: 10.1007/BF00675086

Cite this article as:
Cantoni, V. & Mistrangioli, L. Int J Theor Phys (1992) 31: 937. doi:10.1007/BF00675086

Abstract

It is shown that the geometric phase (Berry phase) around a cycle in the complex projective space of pure states of a quantum mechanical system can be expressed in terms of an elementary three-point phase function which is the simplest manifestation of the complexity of the underlying Hilbert space. In terms of this three-point phase it is possible to construct a geometrically relevant phase function defined mod 4π on the cycles and closely related to the natural symplectic structure of the state space.

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • V. Cantoni
    • 1
  • L. Mistrangioli
    • 1
  1. 1.Dipartimento di MatematicaUniversità di MilanoMilanoItaly