Nonrelativistic quantum analysis of the charged particle dyon system on a conical spacetime

In this paper, we develop the nonrelativistic quantum analysis of the charged particle dyon system in the spacetime produced by an idealized cosmic string. In order to do this, we assume that the dyon is superposed onto the cosmic string. Considering this peculiar configuration conical monopole harmonics are constructed, which are generalizations of the previous monopole harmonics obtained by Wu and Yang (1976 Nucl. Phys. B 107 365) defined on a conical 3-geometry. Bound and scattering wavefunctions are explicitly derived. As to bound states, we present the energy spectrum of the system, and analyse how the presence of a topological defect modifies the obtained result. We also analyse this system admitting the presence of an extra isotropic harmonic potential acting on the particle. We show that the presence of this potential produces significant changes in the energy spectrum of the system.