Comment on “Eigen-potentials in the Schrödinger equation” [J. Math. Phys. 66, 012103 (2025)]

Abstract

We analyse the exact solutions to some quantum-mechanical models derived recently by means of a generalization of the Frobenius method. In particular, we carry out an interpretation of the polynomial solutions obtained for the two-dimensional hydrogen atom in a constant magnetic field by comparing the exact solutions with numerical results provided by the Rayleigh-Ritz method. We also argue that the eigenfunction obtained in the case of a one-dimensional model is not square integrable and point out that more general results had been obtained earlier by other authors.