Aharonov-Bohm effect on the generalized Dirac oscillator in a cosmic dislocation space-time

Abstract

Abstract In this work, we investigate the spin-half relativistic particles described by the Dirac equation on the topological defect background induced by the cosmic string and torsion with an internal magnetic field. We derive the general expression of the generalized Dirac oscillator on the topological defect background and analyze the analogue of the Aharonov-Bohm effect for the Dirac oscillator with function considered as the Cornell potential, and we explain the influence of related parameters on the energy levels of the studied system.