PX262 - J5 - density functional theory

density functional theory (DFT) takes the complex many electron problem of the material and the external influence from the (static) nuclei, and focuses all the effort into dealing with the electron charge density ( $ρ_{e}$ ), ie. the probability of finding an electron at position, ${\vec{r}}_{1}$ (multiplied by $e$ )
the ground state energy of the system can be shown to depend on the charge density at every point: $E_{g s} [ρ (\vec{r})]$
DFT shows that $ρ (\vec{r})$ can be found by solving the schrödinger equation for a single electron moving in a potential set up by the nuclei and all the other electrons
DFT is a widely used method to study the properties of materials