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

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

2005-11-28

arxiv.org/abs/math-ph/0511087v3

Physics

Mathematical Physics

The hypothesis that M is compact and orientable is added in Theorem 2.1

Scientific paper

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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