Comment on: "Quantum aspects of the Lorentz symmetry violation on an electron in a nonuniform electric field'' Eur. Phys. J. Plus (2020) 135:623

• URL: http://arxiv.org/abs/2101.01574v1
• Date: Mon, 4 Jan 2021 13:47:52 GMT
• Title: Comment on: "Quantum aspects of the Lorentz symmetry violation on an electron in a nonuniform electric field'' Eur. Phys. J. Plus (2020) 135:623
• Authors: Paolo Amore and Francisco M. Fern\'andez
• Abstract summary: We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field. We show that the conclusions derived by the authors are an artifact of the truncation of the Frobenius series by means of the tree-term recurrence relation for the expansion coefficients.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field and the analysis of quantum effects of this background on the interaction of a nonrelativistic electron with a nonuniform electric field produced by a uniform electric charge distribution. We show that the conclusions derived by the authors are an artifact of the truncation of the Frobenius series by means of the tree-term recurrence relation for the expansion coefficients. Thus, the existence of allowed angular frequencies stemming from this procedure is meaningless and unphysical.

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