Some Numerical Results on Quasiparticle Properties in the Electron Gas

TLDR

The quasiparticle properties are computed from a lowest‑order self‑energy expression based on the RPA effective electron interaction. Numerical calculations reveal a characteristic momentum dependence of quasiparticle energy, damping, and spectral weight, with well‑defined peaks across all momenta, indicating that quasiparticles retain physical meaning throughout momentum space.

Abstract

Abstract Numerical results for some quasiparticle properties of an interacting electron gas are presented. New data are given for highly excited electrons. It is shown that there is a characteristic momentum dependence in the energy, damping rate, and spectral weight of the quasiparticle. The results are calculated using a self‐energy expression to the lowest order in the effective (RPA) interaction between the electrons. Well‐defined peaks in the spectrum are obtained for all momenta, and in this sense it is concluded that the quasiparticles have a physical meaning everywhere in momentum space.