Regular Article - Theoretical Physics
Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect
Departamento de Física, Universidade Federal do Ceará, Campus do Pici, Fortaleza, CE, 60455-760, Brazil
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Accepted: 20 August 2019
Published online: 29 August 2019
In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe that this spinor is written in terms of the confluent hypergeometric functions and this spectrum explicitly depends on the quantum numbers n and , parameters s and associated to the topological and spin effects, quantum phase , and of the angular velocity associated to the noninertial effects of a rotating frame. In the nonrelativistic limit, we obtain the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. We note that the relativistic and nonrelativistic spectra grow in absolute values as functions of , , and and its periodicities are broken due to the rotating frame. Finally, we compared our problem with other works, where we verified that our results generalizes some particular planar cases of the literature.
© The Author(s), 2019