D-dimensional energies for scandium monoiodide

Abstract

We solve the Schrodinger equation with the Morse potential energy model in \(D\) spatial dimensions. The bound state rotation–vibrational energy spectra have been obtained by using the supersymmetric shape invariance approach. For a fixed vibrational quantum number and various rotational quantum numbers, the energies for the \(\hbox {X}^{1}\Sigma ^{+}\) state of ScI molecule increase as \(D\) increases. We observe that the behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system. The dimensional scaling method resembles a translation transformation from the higher dimensions to the actual three dimensions.