论文标题
评论:“关于洛伦兹对称破坏对谐波振荡器的对称性造成的类似库仑的潜力的影响”。
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
论文作者
论文摘要
我们分析了在洛伦兹对称性破坏效应引起的库仑样电势的影响下,分析了非层状旋转半壁中性粒子的结合状态的计算。我们表明,作者提出的截断条件仅为特定模型潜力提供一个能量特征值,并错过了所有其他结合状态的能量。回旋频率对量子数的依赖性仅仅是截断条件的伪像,这绝对不需要结合状态。
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.