Volume 132, Number 5, December 2020
|Number of page(s)||6|
|Published online||11 January 2021|
Aharonov-Bohm effect on the generalized Dirac oscillator in a cosmic dislocation space-time
1 College of Physics, Guizhou University - Guiyang, 550025, China
2 College of Mathematics, Shanghai University of Finance and Economics - Shanghai, 200433, China
Received: 24 August 2020
Accepted: 21 October 2020
In this work, we investigate the spin-half relativistic particles described by the Dirac equation on the topological defect background induced by the cosmic string and torsion with an internal magnetic field. We derive the general expression of the generalized Dirac oscillator on the topological defect background and analyze the analogue of the Aharonov-Bohm effect for the Dirac oscillator with function $f(\rho)$ considered as the Cornell potential, and we explain the influence of related parameters on the energy levels of the studied system.
PACS: 03.65.Pm – Relativistic wave equations / 98.80.Cq – Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.) / 03.65.Ge – Solutions of wave equations: bound states
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