Some connections between classical and quantum anholonomy
G. Giavarini, E. Gozzi, Daniel Rohrlich, William D. Thacker · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1989
In this paper we study the interplay between the classical and quantum anholonomy effects (Hannay's angle and Berry's phase). When a quantum system with a finite number of energy levels has a Berry phase, it also has a nonzero Hannay angle. We show how systems with infinitely many levels can evade this correspondence, and find some necessary conditions for a system with a Berry phase to have no Hannay angle.