Abstract
Several sum rules and other exact relations are employed to determine both the static and the dynamic properties of strongly coupled, partially and completely degenerate one‐component plasmas. Emphasis is placed on the electron gas, both at zero and finite temperatures. The procedure is based on the self‐consistent method of moments, recently developed in Phys. Rev. Lett., 2017, 119, 045001, that provides a neat expression for the loss function valid at strong couplings. An input value of the method in its classical version is the static structure factor, whose accuracy is shown to insignificantly affect the resulting numerical data. Starting from the Cauchy‐Bunyakovsky‐Schwarz inequality, a criterion is proposed to verify the quality of various approaches to the evaluation of the static characteristics of one‐component, strongly coupled plasmas.