Comment on "Nonperturbative Calculation of Born-Infeld Effects on the Schrodinger Spectrum of the Hydrogen Atom" [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069]
Mikhail N. Smolyakov
TL;DR
This paper critiques a previous study on Born-Infeld effects on the hydrogen atom spectrum, demonstrating that their electrostatic potential solution was incorrect, thus invalidating their more accurate spectrum results.
Contribution
It provides a critical correction to the electrostatic potential solution used in prior Born-Infeld hydrogen atom spectrum calculations.
Findings
The electrostatic potential solution in the previous work is incorrect.
The corrected potential invalidates the claimed improved spectrum.
Previous spectrum results remain unchanged due to the incorrect potential.
Abstract
It is shown that the solution for the electrostatic potential used in [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069] is not correct and therefore cannot provide a more accurate spectrum of the hydrogen atom in the Maxwell-Born-Infeld theory than those obtained previously.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Quantum Mechanics and Applications · Biofield Effects and Biophysics