Abstract
We argue that the textbook method for solving eigenvalue equations is simpler, more elegant and efficient than the Asymptotic Iteration Method (AIM) applied in J. Phys. A {\bf 44} 155205. We show that the Kratzer potential is not a realistic model for the vibration--rotation spectrua of diatomic molecules because it predicts the position of the absorption infrared bands too far from the experimental ones (at least for the and molecules chosen as illustrative examples in that paper).
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