Incorrectness of analytical solution of Schrodinger equation for diatomic molecule with shifted Tietz-Wei potential

TL;DR

This paper demonstrates that the previously reported analytical solution for the Schrödinger equation with the shifted Tietz-Wei potential in diatomic molecules is incorrect, leading to invalid thermodynamic property calculations.

Contribution

It critically analyzes and refutes the correctness of an existing analytical solution for the Schrödinger equation with the shifted Tietz-Wei potential.

Findings

Previous solution is mathematically incorrect.

Thermodynamic properties derived from the incorrect solution are invalid.

Highlights the need for correct analytical methods in molecular quantum mechanics.

Abstract

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.