Harmonic oscillator in an environment with a pointlike defect

Abstract

In the primordial Universe theories frame, we have investigated the association of the pointlike global monopole to the point defects in elastic solids which a harmonic oscillator (HO) is immersed. Then, we investigate the topology effects of the medium on the HO, where we determine, analytically, solutions of bound states. In addition, we investigate the effects of the Coulomb and linear central potentials on the HO in an environment with a pointlike defect, where we can note that the angular frequency of the HO has restricted values determined by the quantum numbers of the system and of the parameter associated to the pointlike topological defect.