Noninertial effects on a Dirac neutral particle inducing an analogue of the Landau quantization in the cosmic string spacetime

Abstract

We discuss the behaviour of external fields that interact with a Dirac neutral particle with a permanent electric dipole moment in order to achieve relativistic bound states solutions in a noninertial frame and in the presence of a topological defect spacetime. We show that the noninertial effects of the Fermi-Walker reference frame induce a radial magnetic field even in the absence of magnetic charges, which is influenced by the topology of the cosmic string spacetime. We then discuss the conditions that the induced fields must satisfy to yield the relativistic bound states corresponding to the Landau-He-McKellar-Wilkens quantization in the cosmic string spacetime. Finally we obtain the Dirac spinors for positive-energy solutions and the Gordon decomposition of the Dirac probability current.

arXiv comment15 pages, no figure, this paper will be published in volume 42 of the Brazilian Journal of Physics

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Cited by in corpus (6)

• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Relativistic Landau Levels in the Rotating Cosmic String Spacetime
• Landau Quantization in the Spinning Cosmic String Spacetime
• Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels