Comment on: "On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the harmonic oscillator''. Eur. Phys. J. Plus (2012) \textbf{127}: 102

• URL: http://arxiv.org/abs/2009.13351v1
• Date: Mon, 28 Sep 2020 14:16:21 GMT
• Title: Comment on: "On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the harmonic oscillator''. Eur. Phys. J. Plus (2012) \textbf{127}: 102
• Authors: Francisco M. Fern\'andez
• Abstract summary: We show that the truncation condition proposed by the authors only provides one energy eigenvalue for a particular model potential. The dependence of the cyclotron frequency on the quantum numbers is a mere artifact of the truncation condition.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze the calculation of bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by Lorentz symmetry breaking effects. We show that the truncation condition proposed by the authors only provides one energy eigenvalue for a particular model potential and misses all the other bound-state energies. The dependence of the cyclotron frequency on the quantum numbers is a mere artifact of the truncation condition that is by no means necessary for the existence of bound states.

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