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Keywords:

  • Permanent electric dipole moment;
  • Fermi-Walker reference frame;
  • Landau-He-McKellar-Wilkens quantization.

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.