The high-density electron gas: How its momentum distribution n(k) and its static structure factor S(q) are mutually related through the off-shell self-energy Sigma(k,omega)

Abstract

It is shown {\it in detail how} the ground-state self-energy $\Sigma (k,\omega )$ of the spin-unpolarized uniform electron gas (with the density parameter $r_s$) in its high-density limit $r_s\to 0$ determines: the momentum distribution $n(k)$ through the Migdal formula, the kinetic energy $t$ from $n(k)$, the potential energy $v$ through the Galitskii-Migdal formula, the static structure factor $S(q)$ from $e=t+v$ by means of a Hellmann-Feynman functional derivative. The ring-diagram partial summation or random-phase approximation is extensively used and the results of Macke, Gell-Mann/Brueckner, Daniel/Vosko, Kulik, and Kimball are summarized in a coherent manner. There several identities were brought to the light.

34 pages, 6 figures

References in corpus (6)

• Multiple electron-hole scattering effect on quasiparticle properties in a homogeneous electron gas
• The self-energy of the uniform electron gas in the second order of exchange
• The on-top pair-correlation density in the homogeneous electron liquid
• Analysis of the second order exchange self energy of a dense electron gas
• The 2-matrix of the spin-polarized electron gas: contraction sum rules and spectral resolutions
• The on-shell self-energy of the uniform electron gas in its weak-correlation limit

Cited by in corpus (2)

• The Uniform Electron Gas at Warm Dense Matter Conditions
• Correlation induced out-of-phase plasmon in an electron liquid