Spectrum of the Kratzer-type molecule in non-commutative spaces

An analytical formulation to determine the non-relativistic energy spectrum associated with the Kratzer potential has been exploited using the Bopp shift method within the framework of non-commutative geometry. A necessary analysis of the Kratzer potential is performed, identifying corrections to the second-order degenerate states, which are influenced by the non-commutative coefficient \(\theta\) $\theta$ . To accomplish this ambitious task, we focused mainly on solving the Schrödinger equation with separated variables, always within the framework of non-commutative geometry.