评论:“洛伦兹对称破缺效应引起的Rashba耦合”。Ann. Phys.(柏林)\textbf{526},187(2013)
Comment on: "Rashba coupling induced by Lorentz symmetry breaking effects". Ann. Phys. (Berlin) \textbf{526}, 187 (2013)
摘要:
我们分析了一篇关于“在自旋为1/2的中性粒子与外场相互作用的非相对论量子动力学中由Lorentz对称性破缺效应引起的类Rashba耦合、类Zeeman项和类Darwin项的产生”的论文的结果。我们表明,作者没有得到谱的特征值方程,但只有一个特征值的模型参数之间的特定关系。特别是,允许的回旋频率的存在,由作者证明是一个纯粹的人工制品的截断条件,用于获得精确的径向本征值方程。
英文摘要:
We analyze the results of a paper on "the arising of a Rashba-like coupling, a Zeeman-like term and a Darwin-like term induced by Lorentz symmetry breaking effects in the non-relativistic quantum dynamics of a spin-1/2 neutral particle interacting with external fields". We show that the authors did not obtain the spectrum of the eigenvalue equation but only one eigenvalue for a specific relationship between model parameters. In particular, the existence of allowed cyclotron frequencies conjectured by the authors is a mere artifact of the truncation condition used to obtain exact solutions to the radial eigenvalue equation.
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