We have investigated the interaction between the Klein-Gordon oscillator and the Cornell-type potential in a background characterized by the Kaluza-Klein theory, where it is governed by the manifestation of the extra dimension through the Aharonov-Bohm effect for bound states. Then, in the search for bound state solutions, we analytically determine the relativistic energy profile of the oscillator under the effects of Cornell-type interaction and for the particular cases of Coulomb-type and linear potentials, where in all cases, the frequency of the relativistic oscillator has restricted values determined by the quantum numbers of the system.

中文翻译：

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Kaluza-Klein理论中Cornell型相互作用作用下的Klein-Gordon振荡器

我们已经在以 Kaluza-Klein 理论为特征的背景下研究了 Klein-Gordon 振荡器和 Cornell 型势之间的相互作用，在该背景下，它受束缚态的 Aharonov-Bohm 效应的额外维度表现所支配。然后，在寻找束缚态解的过程中，我们分析确定了在康奈尔型相互作用以及库仑型和线性势的特殊情况下振荡器的相对论能量分布，其中在所有情况下，相对论振荡器具有由系统的量子数决定的限制值。