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Updated: Apr 16, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Comment on "Calculations for the one-dimensional soft Coulomb problem and the hard Coulomb limit"
M A Carrillo-Bernal1, H N Núñez-Yépez2, A L Salas-Brito3
1Facultad de Física, Universidad Veracruzana, Xalapa de Enríquez CP 91000 Veracruz, Mexico.
Abstract:
In the referred paper, the authors use a numerical method for solving ordinary differential equations and a softened Coulomb potential -1/√[x(2)+β(2)] to study the one-dimensional Coulomb problem by approaching the parameter β to zero. We note that even though their numerical findings in the soft potential scenario are correct, their conclusions do not extend to the one-dimensional Coulomb problem (β=0). Their claims regarding the possible existence of an even ground state with energy -∞ with a Dirac-δ eigenfunction and of well-defined parity eigenfunctions in the one-dimensional hydrogen atom are questioned.
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