Gravitational Geometric Phase in the Presence of Torsion

TL;DR

This paper explores how torsion in spacetime affects the geometric phase of a neutral spin-1/2 particle under electromagnetic fields, both relativistically and non-relativistically, revealing torsion's influence on quantum phases.

Contribution

It provides a detailed analysis of torsion's impact on geometric phases in quantum particles, including relativistic and non-relativistic regimes, and discusses implications for known quantum effects.

Findings

Torsion modifies the relativistic geometric phase.

Torsion influences the Aharonov-Casher and He-McKellar-Wilkens effects.

Explicit contribution of torsion to quantum phases is demonstrated.

Abstract

We investigate the relativistic and non-relativistic quantum dynamics of a neutral spin-1/2 particle submitted an external electromagnetic field in the presence of a cosmic dislocation. We analyze the explicit contribution of the torsion in the geometric phase acquired in the dynamic of this neutral spinorial particle. We discuss the influence of the torsion in the relativistic geometric phase. Using the Foldy-Wouthuysen approximation, the non-relativistic quantum dynamics are studied and the influence of the torsion in the Aharonov-Casher and He-McKellar-Wilkens effects are discussed.