We study a generalized KG-oscillator in the five-dimensional cosmic string geometry background with a magnetic field and quantum flux using Kaluza–Klein theory under the effects of a Cornell-type scalar potential, and observe the gravitational analogue of the Aharonov–Bohm effect. We see that the scalar potential allows the formation of bound states solution, and the energy eigenvalue depends on the global parameter characterizing the space–time. We also see that the magnetic field depends on quantum numbers of the relativistic system which shows a quantum effect.

中文翻译：

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康奈尔型标量势对 Kaluza-Klein 理论中广义 KG 振荡器场的影响

我们使用 Kaluza-Klein 理论在康奈尔型标量势的影响下研究了具有磁场和量子通量的五维宇宙弦几何背景中的广义 KG 振荡器，并观察了 Aharonov-Bohm 效应的引力模拟. 我们看到标量势允许形成束缚态解，并且能量特征值取决于表征时空的全局参数。我们还看到，磁场取决于显示出量子效应的相对论系统的量子数。