Elsevier

Annals of Physics

Volume 180, Issue 2, December 1987, Pages 206-253
Annals of Physics

On the dynamic structure factor for the electron gas

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Abstract

In this paper the well-known electron gas model is expressed as a path integral, and then its dynamic structure factor (DSF) is studied systematically. The study shows that qc defined in the random phase approximation (RPA) not only is the threshold for a bare plasmon, but also in general is the threshold for any number of renormalized plasmons. The paper focuses on the large momentum transfer case (q > qc). The conclusion that the self-energy correction appearing in the pertinent Green functions of the DSF vanishes has been reached. An explanation for the first peak in DSF observed in experiments, namely the strong correlation between the single-pair and multi-pair excitations involving only a few pairs, is suggested. An approximate, but nevertheless closed, formula for adding up a set of screened ladder diagrams, which describe the strongest correlation between the single pair and a few (two) pairs, is presented.

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Present address: Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, Peoples Republic of China.

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