“…A well-known quantum phase is the Aharonov-Bohm effect [28,29,30] due to the presence of an internal magnetic flux produced by the topological defects space-times. This effect has investigated in, Newtonian theory [31], bound states of massive fermions [32], scattering of dislocated wave-fronts [33], torsion effects on a position-dependent mass system [11,15,34,35,36,37,38], bound states solution of spin-0 scalar particles in different space-times geometry background [10,12,39,40]. In addition, this effect has investigated within the Kaluza-Klein theory by introducing scalar potentials of various kind by several authors in the relativistic quantum mechanics [9,13,14,41,42,43,44,45,46].…”