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The Aharonov-Anandan phase of a classical dynamical system seen mathematically as a quantum dynamical system

Gavriel Segre

math-pharXiv:math-ph/0511087

Abstract

It is shown that the non-adiabatic Hannay's angle of an integrable non-degenerate classical hamiltonian dynamical system may be related to the Aharonov-Anandan phase it develops when it is looked mathematically as a quantum dynamical system.

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