D-dimensional energies for lithium dimer and silicon carbide radical

Abstract

By using the supersymmetric shape invariance approach, we solve the Schrödinger equation with the modified Rosen–Morse potential energy model in D spatial dimensions. We find that the inter-dimensional degeneracy symmetry exists for the molecular system represented by the modified Rosen–Morse potential energy model. The rotation-vibrational energies for the 61Πu state of the 7Li2 molecule and the X3Π state of the SiC radical are observed to increase as D increases in the presence of a fixed vibrational quantum number and rotational quantum number. It is found that the behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system for these two molecular states.