}
\small
-
+
+ Ingredients
+ \begin{itemize}
+ \item Hohenberg-Kohn (HK) theorem
+ \item \underline{Born-Oppenheimer}
+ - $N$ moving electrons in an external potential of static nuclei\\
+\[
+H\Psi = \left[-\sum_i^N \frac{\hbar^2}{2m}\nabla_i^2
+ +\sum_i^N V_{\text{ext}}(r_i)
+ +\sum_{i<j}^N V_{e-e}(r_i,r_j)\right]\Psi=E\Psi
+\]
+ \item \underline{Effective potential}
+ - replace electrostatic potential by an average over e$^-$ positions\\
+\[
+V_{\text{eff}}=...
+\]
+ \item Exchange correlation (EC) LDA / GGA
+ \item Self-consistent solution
+ \item Plane wave basis set
+ \item Pseudo potential
+ \end{itemize}
+
\end{slide}