deletions | additions       diff --git a/Schroedinger equation.tex b/Schroedinger equation.tex  index 9500023..c10b9a2 100644  --- a/Schroedinger equation.tex  +++ b/Schroedinger equation.tex 
...
Mathematically, the Hamiltonian (\ref{eq:1dham}) is equivalent to that of a single (and hence truly independent) electron in $N$ dimensions, with the external potential   \begin{equation}  v_{\rm ext}^{Nd}(x_1...x_N)=\sum_{j=1}^N v_{ext}(x_j)+\sum_{j\lt v_{\rm ext}(x_j)+\sum_{j\lt  k}^N v_{\rm int}(x_j, x_k). \end{equation}  For small $N$ it is numerically feasible to solve the $N$-dimensional Schr\"odinger equation  \begin{equation}