deletions | additions       diff --git a/Photoemission.tex b/Photoemission.tex  index 6193201..b474c1b 100644  --- a/Photoemission.tex  +++ b/Photoemission.tex 
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\begin{array}{l}  \varphi^A_i(\vec{r},t+\Delta t) = M \hat{U}(\Delta t) \phi^A_i(\vec{r},t)\\  \varphi^B_i(\vec{r},t+\Delta t) = 0 \\  \vartheta^A_i(\vec{k},t+\Delta t) = (2\pi)^{-\frac{3}{2}} \frac1{  (2\pi)^{\frac{3}{2}}}  \int {\rm d}\vec{r} e^{-\mathrm{i}\vec{k}\cdot\vec{r}} (1-M) \hat{U}(\Delta t) \phi^A_i(\vec{r},t) \\  \vartheta^B_i(\vec{k},t+\Delta t) = \hat{U}_{\rm v}(\Delta t) \phi^B_i(\vec{k},t)   \end{array}