In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

中文翻译：

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宇宙弦时空中Kaluza-Klein理论和势对广义Klein-Gordon振子的影响

在本文中，我们在Kaluza-Klein理论中用康奈尔型标量势解决了宇宙弦时空中的广义Klein-Gordon振荡器，并获得了相对论的能量本征值和本征函数。我们通过在磁性宇宙弦时空中用库仑型电势替换康奈尔型电势来扩展此分析，并针对结合态分析阿哈罗诺夫-鲍姆效应的相对论类似物。