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arXiv 2101.01574quant-ph
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评论:“量子方面的洛伦兹对称违反电子在一个不均匀的电场"欧洲。物理学杂志(2020)135:623

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

Paolo Amore, Francisco M. Fernández

摘要:

我们分析了最近的结果有关的一个特权方向的时空,这是考虑由一个固定的类空矢量场确定的洛伦兹对称性破坏的背景和分析的量子效应的非相对论性电子与均匀电荷分布产生的非均匀电场的相互作用的背景。我们表明,作者所得出的结论是一个工件的截断Frobenius级数的展开系数的树项递推关系的装置。因此,从这个过程中产生的允许角频率的存在是无意义的和非物理的。

英文摘要:

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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