Effects of Coulomb- and Cornell-types potential on a spin-0 scalar particle under a magnetic field and quantum flux in topological defects space-time

We investigate quantum motion of spin-0 scalar particles in the presence of a uniform magnetic field including quantum flux under the effects of Cornell- and Coulomb-type potentials in cosmic string space-time. We evaluate the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect. We show that the potentials allow the formation of bound states solution, and the dependence of the magnetic field on quantum numbers of the system gives a quantum effect