deletions | additions       diff --git a/Magnetic response.tex b/Magnetic response.tex  index e7b1fed..d7fdddf 100644  --- a/Magnetic response.tex  +++ b/Magnetic response.tex 
...
%  \begin{equation}  \label{gauge-methods}  \langle \vec{r} | \hat{v}^{\vec{A}}_{\text{nl}} \hat{v}^{\vec{\mathrm{A}}}_{\text{nl}}  | \vec{r}' \rangle = \langle \vec{r} | \hat{v}_{\text{nl}}| \vec{r}' \rangle \exp(\frac{i}{c}\int_{\vec{r}}^{\vec{r}'} \vec{A}(\vec{x},t) \mathrm{exp}(\frac{i}{c}\int_{\vec{r}}^{\vec{r}'} \vec{\mathrm{A}}(\vec{x},t)  \cdot d\vec{x}) \ .  \end{equation}  The integration path can be any one that connects the two