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

2005/11/28 by Segre, Gavriel
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.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.

Related

• Relation between the Berry phase in quantum hermitian and non-hermitian systems and the Hannay phase in the equivalent classical systems
• Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians
• Geometric Phase for Adiabatic Evolutions of General Quantum States
• Adiabatic driving and geometric phases in classical systems
• Operators for the Aharonov-Anandan and Samuel-Bhandari Phases