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In this paper, we have investigated a scalar particle with position-dependentmass subject to a uniform magnetic field and a quantum flux, both coming fromthe background which is governed by the Kaluza-Klein theory. By modifying themass term of the scalar particle, we insert the Cornell-type potential. In thesearch for solutions of bound states we determine the relativistic energyprofile of the system in this background of extra dimension. Particular casesof this system are analyzed and a quantum effect can be observed: thedependence of the magnetic field on the quantum numbers of the solutions.

Effects of the Cornell-type potential on a position-dependent mass system in Kaluza-Klein theory