Electron density and Slater sum of a semi‐infinite electron gas in d dimensions Available to Purchase

By taking the electron densities of semi‐infinite electron gases in one and in three dimensions, and forming the Slater sum by the Laplace transform, it is shown that the Slater sum is the classical partition function in d dimensions, times a function independent of dimensionality. The electron density is thereby calculated for general dimensionality, as is the kinetic energy density. As a by‐product, the dimensionality dependence of Friedel oscillations emerges in general form.