Classical Adiabatic Holonomy

摘要

We briefly review the classical-adiabatic-holonomy effect known as Hannay's angle. We find, with purely classical methods, that the angle two-form connected with this phenomenon can be associated with a modification of the slow variable dynamics. We point out, all along, the analogics with the Berry-phase effect and, in particular, we study the Hannay-angles for the classical Grassmannian system associated to a quantum spin in magnetic field. (ERA citation 13:005191)