We investigate the generalized Klein–Gordon (KG)-oscillator under the Lorentz symmetry breaking effects, where a linear electric and constant magnetic field is considered, and analyze its effects on the relativistic quantum oscillator. Furthermore, the behavior of the quantum oscillator in the presence of a Cornell-type scalar potential is analyzed and the solution of the bound state is obtained. We see that the analytical solution to the generalized KG-oscillator can be achieved and the angular frequency of the oscillator depends on the quantum numbers of the system.

中文翻译：

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洛伦兹对称破缺引起的线性中心势对广义克莱因-戈登-振荡器的影响

我们研究了洛伦兹对称破缺效应下的广义克莱因-戈登（KG）振荡器，其中考虑了线性电场和恒定磁场，并分析了其对相对论量子振荡器的影响。此外，分析了康奈尔型标量势存在下量子振荡器的行为，并获得了束缚态的解。我们看到可以实现广义 KG 振荡器的解析解，并且振荡器的角频率取决于系统的量子数。