Relativistic Landau-He-McKellar-Wilkens quantization induced by noninertial effects

Abstract

We show that the relativistic analogue of the Landau-He-McKellar-Wilkens quantization can be achieved through the noninertial effects of the Fermi-Walker reference frame without assuming the existence of a magnetic charge density and discuss the nonrelativistic limit of the energy levels. We also obtain the Dirac spinors for positive-energy values parallel and antiparallel to the z axis of the spacetime and obtain the Gordon decomposition of the Dirac probability current Jμ.