Torsion and noninertial effects on a nonrelativistic Dirac particle

TL;DR

This paper studies how torsion and noninertial effects influence a nonrelativistic spin-1/2 particle in a cosmic dislocation spacetime, revealing how rotation and torsion alter energy spectra.

Contribution

It introduces a detailed analysis of torsion and noninertial effects on a nonrelativistic Dirac particle within a cosmic dislocation background, extending understanding of quantum behavior in such spacetimes.

Findings

Rotation system remains valid at distances depending on torsion parameter

Torsion affects the energy spectrum of the particle

Analysis performed in a Fermi-Walker reference frame

Abstract

We investigate torsion and noninertial effects on a spin-$1/2$ quantum particle in the nonrelativistic limit of the Dirac equation. We consider the cosmic dislocation spacetime as a background and show that a rotating system of reference can be used out to distances which depend on the parameter related to the torsion of the defect. Therefore, we analyse torsion effects on the spectrum of energy of a nonrelativistic Dirac particle confined to a hard-wall potential in a Fermi-Walker reference frame.