Central potential effects induced by Lorentz symmetry violation on modified quantum oscillator field

• Published in: Modern physics letters A Vol. 36; no. 39
• Main Author: Ahmed, Faizuddin
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 21.12.2021; World Scientific Publishing Co. Pte., Ltd
• Subjects: Klein-Gordon equation; Operators (mathematics); Quantum numbers; Symmetry; Tensors; Wave equations; Cornell-type potential, biconfluent Heun’s equation; Lorentz symmetry violation; relativistic wave equations
• ISSN: 0217-7323; 1793-6632
• DOI: 10.1142/S0217732321502746

In this paper, effects of Lorentz symmetry violation determined by a tensor field ( K F ) μ ν α β out of the Standard Model Extension on a modified quantum oscillator field in the presence of Cornell-type scalar potential are analyzed. We first introduced a scalar potential S ( r ) = η L r + η c r by modifying the mass square term via transformation M 2 → ( M + S ( r ) ) 2 in the Klein–Gordon equation, and then replace the momentum operator p → → ( p → − i M ω f ( r ) r ̂ ) , where f ( r ) is an arbitrary function other than r to study the modified Klein–Gordon oscillator. We solve the wave equation and obtain the analytical bound-states solutions and see the dependence of oscillator frequency ( ω ) on the quantum numbers { n , l } as well as on Lorentz-violating parameters with the potential which shows a quantum effect.