Time-dependent He–McKellar–Wilkens effect on noncommutative space

Abstract

In this paper, we study time-dependent He–McKellar–Wilkens (HMW) phase shift, as well as its extension on noncommutative space. We show that for adiabatic varying external magnetic field, the original HMW effect can receive a time-dependent correction. The adiabatic approximation is valid if frequency of the varying external field is smaller enough than the one by which the spinor particle takes a single round. Noncommutative corrections are studied by using Seiberg–Witten map such that the final results are gauge invariant. We find that there are two kinds of contributions, one is purely adiabatic, and the other one is a constant correction and depends on frequency of the external field.

Poincaré–Chetaev Equations in Dirac’s Formalism of Constrained Systems

“…Being one of the classical problems in the theory of integrable systems and classical mechanics, these issues could be of interest in the modern studies of various aspects related with construction and behavior of spinning particles and rotating bodies in external fields beyond the pole-dipole approximation [24][25][26][27][28][29][30].…”