Landau quantization under effects of torsion and confinement potentials

Abstract

In this paper, we have investigated the nonrelativistic limit of a quantum particle, subjected to a uniform magnetic field and in the presence of some confinement potentials, immersed in a background with a cosmic string and a screw dislocation. We separately examined four models, constructed the energy spectrum and cyclotron frequency for each of them, and checked the consistency of the results by considering the limit of some characteristic parameters of the potentials.