Geometric Phase for Neutral Particle in the Presence of a Topological Defect

TL;DR

This paper explores the geometric phase effects on a neutral particle with dipole moments in curved spacetime with topological defects, analyzing relativistic and nonrelativistic quantum dynamics and related phenomena.

Contribution

It introduces the study of geometric phases for neutral particles with dipole moments in curved backgrounds with topological defects, including relativistic and nonrelativistic analyses.

Findings

Identification of geometric phase effects in curved spacetime

Analysis of gravitational Aharonov-Casher and He-Mckellar-Wilkens effects

Extension of quantum phase concepts to topological defect backgrounds

Abstract

In this paper we study the quantum dynamics of a neutral particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of neutral particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic fields in this curved background. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-Mckellar-Wilkens effects are investigated for a series of electric and magnetic fields configurations.