The Aharonov-Anandan phase of a classical dynamical system seen mathematically as a quantum dynamical system
Abstract
Description
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.
The hypothesis that M is compact and orientable is added in Theorem 2.1
The hypothesis that M is compact and orientable is added in Theorem 2.1