Home > Research > Publications & Outputs > Wave mechanics and inertial guidance
View graph of relations

Wave mechanics and inertial guidance

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>15/03/1989
<mark>Journal</mark>Physical Review D
Issue number6
Volume39
Number of pages8
Pages (from-to)1594-1601
Publication StatusPublished
<mark>Original language</mark>English

Abstract

The adiabatic classical dynamics of certain constrained nonautonomous systems is discussed in terms of the transport of vectors on a surface in parameter space. The classical analogue of Berry’s phase is related to the integrated geodesic curvature of a curve on such a surface and the motion of the system analyzed in terms of the relative rotation rates of different vector fields. The classical dependence of the motion on the topology of the parameter space motivates a particular quantum description of a particle confined to a closed space tube.