Electron Gas Behavior in Mean-Field Regime
Analysis
This paper investigates the momentum distribution of an electron gas, providing mean-field analogues of existing formulas and extending the analysis to a broader class of potentials. It connects to and validates recent independent findings.
Key Takeaways
- •Studies the momentum distribution of an electron gas in a 3D torus.
- •Computes occupation numbers of Fourier modes using random phase approximation.
- •Derives mean-field analogues of existing momentum distribution formulas.
- •Applies to a general class of singular potentials, not just Coulomb.
- •Connects to and validates recent independent research.
Reference
“The paper obtains mean-field analogues of momentum distribution formulas for electron gas in high density and metallic density limits, and applies to a general class of singular potentials.”