Attention is drawn to some circumstances that were not quite clearly described in the paper by Soares et al. (Eur Phys J Plus 136:966, 2021) and its previous comment by Amore and Fernandez (Eur Phys J Plus, 2024, this issue), in particular, that the Klein–Gordon field under consideration has a discrete spectrum of positive energy states, hard to be found analytically but approaching the spectrum of a usual quantum oscillator at high levels (\(n \gg 1\)). Corrections to the oscillator spectrum are here calculated in the WKB approximation.

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关于“拓扑带电埃利斯-布朗尼科夫型虫洞时空中的克莱因-戈登振荡器”的第二条评论

值得注意的是 Soares 等人的论文中没有明确描述的一些情况。 （Eur Phys J Plus 136:966，2021）以及 Amore 和 Fernandez 之前的评论（Eur Phys J Plus，2024，本期），特别是，所考虑的克莱因-戈登场具有离散的正能态谱，很难通过分析找到，但接近高水平的普通量子振荡器的光谱（\(n \gg 1\)）。这里对振荡器频谱的修正是用 WKB 近似计算的。