Submitted:
03 June 2021
Posted:
03 June 2021
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Abstract
In this work, we investigate the behaviour of relativistic quantum oscillator under the effects of Lorentz symmetry violation determined by a tensor $(K_F)_{\mu\nu\alpha\beta}$ out of the Standard Model Extension. We analyze this relativistic system under an inverse radial electric field and a constant magnetic field induced by Lorentz symmetry violation. We see that the presence of Lorentz symmetry breaking terms modified the energy spectrum of the system, and a quantum effect arise due to the dependence of the linear charge density on the quantum numbers of the system
Keywords:
Lorentz symmetry violation
; Relativistic wave equations
; electric & magnetic field
; biconfluent Heun’s function
; special function
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