Noninertial and spin effects on the 2D Dirac oscillator in the magnetic cosmic string background

Abstract

We investigate the influence of noninertial and spin effects on the 2D Dirac oscillator (DO) interacting with a uniform magnetic field and with the Aharonov-Bohm (AB) effect in the cosmic string spacetime. As results, we verify that the Dirac spinor is written in terms of the confluent hypergeometric functions and the energy spectrum depends of the quantum numbers n and m l , parameters s and η associated to the spin effects and to topology of the cosmic string, magnetic flux Φ of the AB effect, cyclotron frequency ω c generated by magnetic field, and of the angular velocity Ω of the rotating frame. In the nonrelativistic limit, we obtain the equation of motion of the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. In particular, the relativistic and nonrelativistic energy spectra are periodic functions and increase in function of η and Ω. Finally, we comparing our results with other works, where verified that our problem generalizes some particular planar cases of the literature.

The scattering of Dirac spinors in rotating spheroids

“…For convenience, let us review the previous research work conducted by other authors related to spinors: Villalba and de Fisica [9] solved the massless Dirac equation in a non-stationary rotating causal Godel-type cosmological universe using the method of separation of variables; Dolan et al [10] studied the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods; Deleo & Rotelli [11] developed the potential scattering of a spinor within the context of perturbation field theory; In 2011, Stefano et al [12] studied Dirac spinors in Bianchi type-I cosmological models within the framework of torsional f (R)-gravity, while Bordé et al [13] presented a secondquantized field theory of massive particles with a spin of a half or antiparticle in the presence of a weak gravitational field treated as spin two external field in a flat Minkowski background. In 2012, Poplawski [14] made use of Einstein-Cartan-Sciama-Kibble (ECSK) theory of gravity to discuss non-singular, big-bounce cosmology from spinor-torsion coupling, and Daude and Kamran [15]considered massive Dirac fields evolving in the exterior region of a 5-D Myers-Perry black hole and studied their propagation properties; In 2014, Brihaye et al [16] studied Dirac equation for spherically symmetric space-time and application to a boson star in EGB gravity, and Ambrus & Winstanley [17] discussed Dirac fermions on an anti-desitter background; In 2015, Bini et al [18] discussed massless Dirac particles in the vacuum C-metric; In 2017, Röken [19] showed the separability of the massive Dirac equation in the nonextreme Kerr geometry in the horizon-penetrating advanced Eddington-Finkelstein coordinates; Dzhunushaliev & Folomeev [20] investigated Dirac star in the presence of Maxwell and Proca fields, and Oliveira [21] investigated the influence of non-inertial and spin effects on the 2−D Dirac oscillator interacting with a uniform magnetic field and with Aharonov-Bohm effects in the cosmic string space-time.…”