论文标题
对非壳量子波动的另一种响应:解决Casimir难题的一步
An alternative response to the off-shell quantum fluctuations: A step forward in resolution of the Casimir puzzle
论文作者
论文摘要
提出了空间非局部响应函数,该函数几乎与电磁场常用的局部响应和质量壳上的波动相吻合,但对于脱壳波动场而言显着差异。结果表明,使用建议的响应函数的基本LIFSHITZ理论与Casimir力的测量数据一致,而无需忽略自由电子的耗散。我们证明,使用非局部和常用局部响应计算出的壳电磁波的反射率仅略有不同。在零频率下具有一阶和二阶极点的非局部响应函数的Kramers-Kronig关系得出,即所提出的响应满足因果关系的原理。讨论了这些结果在解决Casimir难题中的应用,这在于,Lifshitz理论在实验上仅与废弃的耗散是一致的事实。
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.