Comment on Bound states and the potential parameter spectrum [J. Math. Phys. 61, 062103 (2020)]

We analyze the application of the tridiagonal representation approach (TRA) to the Schrodinger equation for some simple, exactly solvable, quantum-mechanical models. In the case of the Kratzer-Fues potential, the expression for the energy does not appear to be correct. In addition, the well known Frobenius method, which resembles the TRA, is far simpler, clearer, and more elegant, in addition to giving the correct result. Published under an exclusive license by AIP Publishing.

Automated summary

The study examines the application of the tridiagonal representation approach (TRA) in simple, exactly solvable quantum-mechanical models, revealing discrepancies in the expression for energy in the case of the Krater-Fues potential. Furthermore, the well-known Frobenius method, similar to TRA, is found to be simpler, clearer, and more elegant, while also providing the correct result.