X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=physics_compact%2Fsolid.tex;h=ed9bddbcc907b4f82addad8cd899305a2801193a;hp=30e078e936858ff59fea30de1d04dcdb4cb012f9;hb=4069f849b1973e2eb9020fa2e190f93b56537c60;hpb=5898b999f5d72857fa765fd544262e7c0104042e diff --git a/physics_compact/solid.tex b/physics_compact/solid.tex index 30e078e..ed9bddb 100644 --- a/physics_compact/solid.tex +++ b/physics_compact/solid.tex @@ -64,7 +64,7 @@ n_0(\vec{r})=\int \Psi_0^*(\vec{r},\vec{r}_2,\vec{r}_3,\ldots,\vec{r}_N) \end{equation} In 1964, Hohenberg and Kohn showed the opposite and far less obvious result \cite{hohenberg64}. -{\begin{theorem} +\begin{theorem}[Hohenberg / Kohn] For a nondegenerate ground state, the ground-state charge density uniquely determines the external potential in which the electrons reside. \end{theorem} @@ -102,6 +102,6 @@ E_1 + E_2 < E_2 + E_1 + \int n(\vec{r}) \left( V_2(\vec{r})-V_1(\vec{r}) \right) d\vec{r} }_{=0} \end{equation} -is revealed, which proofs the Hohenberg Kohn theorem. \qed +is revealed, which proofs the Hohenberg Kohn theorem.% \qed \end{proof}