Abstract
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.
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