Comment on: “Analytical solutions to the Schrödinger equation for a generalized Cornell potential and its applications to diatomic molecules and heavy mesons”

We analyze a recent calculation of the energy levels of some quantum-mechanical models derived from the so-called generalized Cornell potential. We argue that the authors obtained essentially the same spectrum for potentials with considerably different spectra. We show that the authors obtained negative eigenvalues in the case of a positive-definite potential. The reason is due to the approximation used in the solution of the Schrödinger equation. We point out that the omission of the sum over the rotational degrees of freedom in the canonical partition function leads to incomplete expressions for the thermodynamic functions.

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Publication Details

Journal
Modern Physics Letters A
Published
2024-10-20
DOI
https://doi.org/10.1142/s0217732324750051
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
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article

Comment on: “Analytical solutions to the Schrödinger equation for a generalized Cornell potential and its applications to diatomic molecules and heavy mesons”

Francisco M. Fernández
Modern Physics Letters A
Quantum Mechanics and Non-Hermitian Physics
article

Comment on: “Analytical solutions to the Schrödinger equation for a generalized Cornell potential and its applications to diatomic molecules and heavy mesons”

Francisco M. Fernández
article en

Abstract

We analyze a recent calculation of the energy levels of some quantum-mechanical models derived from the so-called generalized Cornell potential. We argue that the authors obtained essentially the same spectrum for potentials with considerably different spectra. We show that the authors obtained negative eigenvalues in the case of a positive-definite potential. The reason is due to the approximation used in the solution of the Schrödinger equation. We point out that the omission of the sum over the rotational degrees of freedom in the canonical partition function leads to incomplete expressions for the thermodynamic functions.

Modern Physics Letters AVol. 39(31n32)
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (AR)
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Quantum Mechanics and Non-Hermitian Physics
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