Effects of Lorentz symmetry breaking environment on generalized relativistic quantum oscillator field

In this paper, we study the generalized Klein–Gordon oscillator under the effects of the violation of Lorentz symmetry defined by a tensor field ( K F ) μναβ out of the standard model extension. We consider a possible scenario of Lorentz-violating with a Cornell-type potential form electric field an...

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Bibliographic Details
Published inCanadian journal of physics Vol. 101; no. 4; pp. 169 - 175
Main Author Ahmed, Faizuddin
Format Journal Article
LanguageEnglish
Published Ottawa NRC Research Press 01.04.2023
Canadian Science Publishing NRC Research Press
Subjects
Broken symmetry
Eigenvalues
Electric fields
Magnetic fields
Mathematical models
Oscillation
Oscillators
Tensors
Wave equation
Wave equations
United States
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Summary:In this paper, we study the generalized Klein–Gordon oscillator under the effects of the violation of Lorentz symmetry defined by a tensor field ( K F ) μναβ out of the standard model extension. We consider a possible scenario of Lorentz-violating with a Cornell-type potential form electric field and a linear magnetic field that contributes a harmonic-type central potential effects in the quantum motions of oscillator fields. The bound-state solutions of the wave equation using the parametric Nikiforov–Uvarov method by considering Coulomb- and Cornell-type potential form functions are obtained. We see that the eigenvalue solutions get modified by the Lorentz symmetry breaking effects in comparison to the Landau levels (without Lorentz-violation effects in flat space).
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ISSN:0008-4204
1208-6045
DOI:10.1139/cjp-2022-0173