Pure-vibrational spectrum of diatomic molecules using an improved Pöschl–Teller potential

Abstract

The radial Schrödinger equation with an improved Pöschl–Teller potential model is solved by employing the supersymmetric shape invariance technique and formalism. The vibrational energy equation obtained was used to study some molecules for various electronic states. The pure-vibrational energies obtained are in excellent agreement with the experimental data. The discrepancy between the computed values and the experimental data for all the molecules are very negligible, confirming that the improved Pöschl–Teller potential model is a good representation for different molecules.