
9
Inhomogeneous Systems
This chapter summarizes the foundations of the density functional formalism, includ-
ing a summary of the main perturbative and nonperturbative approximations in density
functional theory. The results of some of these theories are discussed for some simple
model systems with both isotropic and anisotropic interactions.
9.1 FUNDAMENTALS OF THE DENSITY
FUNCTIONAL FORMALISM
Let us consider a system with volume V in contact with a heath reservoir at tem-
perature T and with a molecule reservoir with chemical potential μ, and suppose
that each particle is subjected to an external potential V (r), which depends on the
position r of