The Aharonov-Anandan phase of a classical dynamical system seen mathematically as a quantum dynamical system
Mathematical Physics
2007-05-23 v3 Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0511087,
title = {The Aharonov-Anandan phase of a classical dynamical system seen mathematically as a quantum dynamical system},
author = {Gavriel Segre},
journal= {arXiv preprint arXiv:math-ph/0511087},
year = {2007}
}
Comments
The hypothesis that M is compact and orientable is added in Theorem 2.1