deletions | additions       diff --git a/Photoemission.tex b/Photoemission.tex  index 762db61..f52d7d1 100644  --- a/Photoemission.tex  +++ b/Photoemission.tex 
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The matching is made with the help of a mask function $M(\vec{r})$, like the one shown   in Fig.~\ref{fig:pes_sheme}, that separates each orbital into a bounded $\phi_i^A(\vec{r})$   and an unbounded component $\phi_i^B(\vec{r})$ as follows:  \begin{align}\label{eq:mask_split} \begin{equation}\label{eq:mask_split}  \phi_i(\vec{r},t) = M(\vec{r})\,\phi_i(\vec{r},t)+\left[1-M(\vec{r})\right]\phi_i(\vec{r},t)\\  =\phi_i^A(\vec{r},t)+\phi_i^B(\vec{r},t)\, .  \end{align} \end{equation}