Comment on “New analytic solution of Schrödinger's equation” by Eleuch H. et al.

Francisco Marcelo Fernández, Eduardo Alberto Castro

Richard L. Gibbs

H. N. Ioannidou

Alexander Moroz

Some of the conclusions of an improved JWKB method by Eleuch H., Rostovtsev Y. V. and Scully M. O., EPL, 89 (2010) 50004 are clarified. The degree of approximation to exact solutions is quantitatively assessed. The improved JWKB method is also contrasted with the method of comparison equations.

Fatma Zohra Khaled, Mustafa Moumni, Mokhtar Falek

The work presents analytical solutions to the Schrodinger equation for the Killingbeck potential, a Hybrid model combining harmonic, linear and Coulomb terms, and which is also an approximate model of Yukawa-type potentials. The radial Schrodinger equation is solved by means of the series expansion method, thus yielding the exact expressions of both bound-states solutions and eigen-functions for the systems; these systems include quarkonium and confined hydrogen-like atoms in plasma environments. Furthermore, we offer a constructive commentary on the work of Obu et al. (East Eur. J. Phys. 3, 146-157, 2023), with the aim of clarifying a mathematical misstatement used in their analytical treatment of analogous systems.

Anatoly Georgievich Meshkov, N.V. Sukhomlin, V. N. Shapovalov