Abstract
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.
- Received 22 August 1988
DOI:https://doi.org/10.1103/PhysRevD.39.3007
©1989 American Physical Society