Geometric Phases for Classical and Quantum Dynamics: Hannay Angle and Berry Phase for Loops on a Torus

Article Type

Research Article

Publication Title

International Journal of Theoretical Physics

Abstract

In this paper we have considered closed trajectories of a particle on a two-torus where the loops are noncontractible (poloidal and toroidal loops and knots embedded on a regular torus). We have calculated Hannay angle and Berry phase for particle traversing such loops and knots when the torus itself is adiabatically revolving. Since noncontractible loops do not enclose any area Stokes theorem has to be applied with caution. In our computational scheme we have worked with line integrals directly thus avoiding Stokes theorem.

First Page

2859

Last Page

2871

DOI

10.1007/s10773-019-04169-6

Publication Date

9-15-2019

Comments

Open Access, Green

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