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Comment on “Non-relativistic treatment of diatomic molecules interacting with generalized Kratzer potential in hyperspherical coordinates”. (English) Zbl 1226.81066

Summary: We argue that the textbook method for solving eigenvalue equations is simpler, more elegant and efficient than the asymptotic iteration method applied in [A. Durmus, ibid. 44, No. 15, Article ID 155205 (2011; Zbl 1213.81228)]. We show that the Kratzer potential is not a realistic model for the vibration-rotation spectra of diatomic molecules because it predicts the position of the absorption infrared bands too far from the experimental ones (at least for the HCl and H\(_2\) molecules chosen as illustrative examples in that paper).

MSC:

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Citations:

Zbl 1213.81228
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