deletions | additions       diff --git a/Magnetic response.tex b/Magnetic response.tex  index d4d23f9..a64f9b0 100644  --- a/Magnetic response.tex  +++ b/Magnetic response.tex 
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\Big]\ .  \end{equation}  In practical numerical  implementations, the gauge freedom in choosing the vector potential might lead to a poor converge with the quality of the  discretization and to a dependence of the magnetic response on the  origin of the simulation cell. In other words, an arbitrary 
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%  \begin{equation}  \label{eq:hypervirial_nl}  \imi\langle\varphi_\io\vert\op{\vec{\pp}}\vert\varphi_\jo\rangle i\langle\varphi_\io\vert\op{\vec{\pp}}\vert\varphi_\jo\rangle  = (\epsilon_\jo-\epsilon_\io)\langle\varphi_\io\vert\op{\vec{r}}\vert\varphi_\jo\rangle +  \langle\varphi_\io\vert[\op{\vec{r}},\op{\vv}_{\text{nl}}]\vert\varphi_\jo\rangle\ .  \end{equation}