Analytical solutions of the Schrodinger equation with q-Deformed Modified Mobius Square Potential using the Nikiforov-Uvarov method

Abstract

In this study, a new potential named the “q-deformed modified Mobius square potential (MMSP)” is proposed. The Schrodinger equation with this model is solved using the famous Nikiforov-Uvarov (NU) method to obtain the energy equation and wave function of this system. The effects of the potential parameters and deformation parameter (q > 0 and q < 0) is analysed numerically and graphically. Findings reveal that the energy of the system increases as the deformation parameter increases. This implies that the deformation could be used as a regulator or booster to manipulate the energy spectra of the system. The findings from this study will apply to atomic and molecular physics and chemical physics.