Lifetime of a quasiparticle in an electron liquid. II

TL;DR

This paper recalculates the inelastic lifetime of an electron quasiparticle in an electron liquid, confirming previous results and providing detailed derivations especially for the two-dimensional case.

Contribution

It offers an alternative derivation including both direct and exchange processes, validating earlier findings and detailing the two-dimensional case.

Findings

Results match previous calculations, confirming their accuracy.

Includes detailed derivation for the two-dimensional case.

Both direct and exchange processes are considered in the lifetime calculation.

Abstract

Inelastic lifetime of an electron quasiparticle in an electron liquid due to electron-electron interaction evaluated in previous work is calculated in an alternative way. Both the contributions of the "direct" and "exchange" processes are included. The results turn out to be exactly the same as those obtained previously, and hence confirm the latter. Derivation in the two-dimensional case is presented in great details due to its intricacies.