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Impact of external magnetic and Aharanov-Bohm (AB) Fields on the energy spectra of the Varshni-type potential in arbitrary dimensions

In this article, the Varshni potential is analyzed taking into consideration the effects of magnetic and AB flux fields within the non-relativistic regime using the Nikiforov-Uvarov-Functional Analysis method (NUFA) method. The energy equation and wave function of the system are obtained in close form. We find that the entirety of effects of these fields removes degeneracy as a consequence and raises the bound state energy of the system. More so, it could be deduced that to regulate the energy spectra of this system, the AB-flux and magnetic field will do so greatly. The results from this study can be applied in condensed matter physics, atomic and molecular physics.