On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics

Abstract

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the model. Expressions for the wave functions and energy spectrum are derived. The energy spectrum of the oscillator as a function of the various physical parameters involved in the problem is rigorously studied. Finally, we present some analogies between our results and others of the condensed matter physics.

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Cited by in corpus (15)

• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Effect of internal magnetic flux on a relativistic spin-1 oscillator in the spinning point source-generated spacetime
• Fermion-antifermion pairs in magnetized spacetime generated by a point source
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Dynamics of massive and massless particles in the spacetime of a wiggly cosmic dislocation
• Cornell and Coulomb potentials in the double defect spacetime
• Charged scalar boson in Melvin universe
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space