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In the present work, we investigated the quantum behavior of a chargedparticle that is under the effect of a uniform magnetic external field. Weassumed that space-time has a space-like dislocation with an internal magneticflux. We examined two different types of potential energies that are known asthe pseudo harmonic and Cornell type potential energies, with the nonminimalcoupling. We observed the Aharonov-Bohm effect in both cases. We extended theanalysis on the energy spectrum functions to the different limits.

The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect