Abstract
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 density correlation function is found to be integrable in space, in both classical and quantum regimes.
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Unité Mixte de Recherche No. 8627—CNRS.
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Šamaj, L. Charge and Current Sum Rules in Quantum Media Coupled to Radiation. J Stat Phys 137, 1–17 (2009). https://doi.org/10.1007/s10955-009-9845-7
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DOI: https://doi.org/10.1007/s10955-009-9845-7