Submitted:
31 May 2021
Posted:
31 May 2021
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Abstract
In this work, we investigate the behaviour of a relativistic scalar particle in the background of the Lorentz symmetry violation determined by a tensor (KF)µναβ out of the Standard Model Extension. A linear electric field and a uniform magnetic can be induced by the violation of the Lorentz symmetry breaking effects, and analyze the behaviour of the scalar particle. We see that the analytical solution to the KG-equation can be achieved, and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers is observed
Keywords:
Lorentz symmetry violation
; Relativistic wave-equations
; electric & magnetic field
; biconfluent Heun’s function
; special function
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