Gutzwiller density functional theory for correlated electron systems

We develop a density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wave function which exactly obeys the Gutzwiller approximation for all one-particle operators. The solution of the many-electron problem is mapped onto the self-consistent solution of a set of single-particle Schrödinger equations, analogously to standard DFT-local density approximation calculations.