辐射耦合量子介质中的电荷和电流求和规则
Charge and Current Sum Rules in Quantum Media Coupled to Radiation
摘要：
本文研究了量子介质、导体和光子晶体中与辐射完全耦合的平衡体电荷和电流密度的关联函数。利用Rytov的涨落电动力学得到了一系列固定电荷和电流密度关联函数的某些矩值的静态和时间相关求和规则。一种技术的开发，以提取这些总和规则的经典和纯粹的量子力学部分。的总和规则严格测试在经典的限制和jelterm模型。一个比较与微观的方法，通过库仑力相互作用的粒子系统（非延迟制度）。与微观结果相比，电流-电流关联函数被发现是可积的空间，在经典和量子制度。
英文摘要：
This paper concerns the equilibrium bulk charge and current density correlation functions in quantum media, conductors and dielectrics, fully coupled to the radiation (the retarded regime). A sequence of static and time-dependent sum rules, which fix the values of certain moments of the charge and current density correlation functions, is obtained by using Rytov's fluctuational electrodynamics. A technique is developed to extract the classical and purely quantum-mechanical parts of these sum rules. The sum rules are critically tested in the classical limit and on the jellium model. A comparison is made with microscopic approaches to systems of particles interacting through Coulomb forces only (the non-retarded regime). In contrast with microscopic results, the current-current correlation function is found to be integrable in space, in both classical and quantum regimes.
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