LaTeX

Tips for LaTeX
\vert{\uparrow\downarrow}\rangle and not \vert\uparrow\downarrow\rangle
 * do not forget the use of {} to remove unwanted blanks in equations. For instance, there is a difference between $$\vert{\uparrow\downarrow}\rangle$$ and $$\vert\uparrow\downarrow\rangle$$.