Research in Engineering and Aviation

Some Connections Between Classical and Quantum Anholonomy

May 1989

Author(s): Giavarini, G., Gozzi, E., Rohrlich, D., and Thacker, W.D.

Journal: Physical Review D, Vol. 39, pp. 3007-3015 (1989). DOI: 10.1103/PhysRevD.39.3007


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.