Abstract We provide a critical analysis of some of the commonly used theoretical models to describe quantum plasmons in finite size media. We summarize the standard approach based on a Fano diagonalization and we show explicit discrepancies in the obtained results by taking the limit of vanishing coupling between the electromagnetic field and the material medium. We then discuss the derivation of spontaneous emission in a plasmonic environment, which usually relies on a Green tensor and is based on an incomplete identity. The effect of the missing terms is calculated in a one-dimensional model.

中文翻译：

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有限尺寸介质的量子等离子体模型的批判性审查

摘要 我们对描述有限尺寸介质中的量子等离子体的一些常用理论模型进行了批判性分析。我们总结了基于 Fano 对角化的标准方法，并通过采用电磁场和材料介质之间消失耦合的极限来显示所获得结果的明显差异。然后，我们讨论等离子体环境中自发发射的推导，它通常依赖于绿色张量并且基于不完整的恒等式。缺失项的影响在一维模型中计算。