X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=physics_compact%2Fsolid.tex;h=6c25ff1c84608c02a46928917a2ab996605ad382;hp=50df24d29d03741e8a4efb3933ae5b98316dcbba;hb=f2dddd61b086ccbe46fa103d509903c3a426c034;hpb=9fac15a186e73cf587fb7d9dfa1c737c778cd08a

diff --git a/physics_compact/solid.tex b/physics_compact/solid.tex
index 50df24d..6c25ff1 100644
--- a/physics_compact/solid.tex
+++ b/physics_compact/solid.tex
@@ -18,7 +18,7 @@
 
 \subsubsection{Hohenberg-Kohn theorem}
 
-Considering a system with a nondegenerate ground state, there is obviously only one ground-state charge density $n_0(\vec{r})$ that correpsonds to a given potential $V(\vec{r})$.
+Considering a system with a nondegenerate ground state, there is obviously only one ground-state charge density $n_0(\vec{r})$ that corresponds to a given potential $V(\vec{r})$.
 In 1964, Hohenberg and Kohn showed the opposite and far less obvious result \cite{hohenberg64}.
 For a nondegenerate ground state, the ground-state charge density uniquely determines the external potential in which the electrons reside.
 The proof presented by Hohenberg and Kohn proceeds by {\em reductio ad absurdum}.
@@ -55,5 +55,5 @@ 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.
+is revealed, which proofs the Hohenberg Kohn theorem.