An alternative response to the off-shell quantum fluctuations: a step forward in resolution of the Casimir puzzle
An alternative response to the off-shell quantum fluctuations: a step forward in resolution of the Casimir puzzle
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对离壳量子涨落的另一种反应：解决卡西米尔难题的一步
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
V. Mostepanenko
中科院分区：
文献类型：
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作者：
G. L. Klimchitskaya;V. Mostepanenko
空间非局部响应函数的建议，这几乎符合常用的本地响应的电磁场和波动的质量壳，但显着不同的壳外波动场。结果表明，基本的Lifshitz理论使用建议的响应函数来与测量数据的Casimir力，而不忽略自由电子的耗散协议。我们表明，使用非本地和常用的本地响应计算的壳上电磁波的反射率略有不同。导出了在零频率处具有一阶和二阶极点的非局部响应函数的Kramers-Kronig关系，即拟议的对策符合因果关系原则。这些结果的应用解决的Casimir难题，这是在一个事实，即Lifshitz理论是实验一致的，只有丢弃耗散，进行了讨论。
The spatially nonlocal response functions are proposed which nearly coincide with the commonly used local response for electromagnetic fields and fluctuations on the mass shell, but differ significantly for the off-shell fluctuating field. It is shown that the fundamental Lifshitz theory using the suggested response functions comes to an agreement with the measurement data for the Casimir force without neglecting the dissipation of free electrons. We demonstrate that reflectances of the on-shell electromagnetic waves calculated using the nonlocal and commonly employed local responses differ only slightly. The Kramers–Kronig relations for nonlocal response functions possessing the first- and second-order poles at zero frequency are derived, i.e., the proposed response satisfies the principle of causality. An application of these results to resolution of the Casimir puzzle, which lies in the fact that the Lifshitz theory is experimentally consistent only with discarded dissipation, is discussed.