First major update of src/2_coordinates.md

src/2_coordinates.md

@@ -426,9 +426,10 @@ We have discussed four different coordinate systems:
 
     In a similar fashion it can be shown that for spherical coordinates,
     the Laplace operator acting on a function $\psi({\bf r})$ becomes:
-    \begin{align} \nabla^2 \psi (r,\vartheta,\varphi) &= 
+    $$\begin{align} \nabla^2 \psi (r,\vartheta,\varphi) &= 
     \frac{1}{r^2} \frac{\partial}{\partial r^2} \left( r^2 \frac{\partial \psi(r,\vartheta,\varphi)}{\partial r} \right) \\ &+ \frac{1}{r^2\sin^2\vartheta} \frac{\partial^2 \psi(r,\vartheta, \varphi)}{\partial \varphi^2} \\ &+ \frac{1}{r^2\sin\vartheta} 
-    \frac{\partial}{\partial \vartheta}\left( \sin\vartheta \frac{\partial\psi(r,\vartheta, \varphi)}{\partial \vartheta}\right).\end{align}
+    \frac{\partial}{\partial \vartheta}\left( \sin\vartheta \frac{\partial\psi(r,\vartheta, \varphi)}{\partial \vartheta}\right).
+    \end{align}$$
     This is however even more tedious (you do not have to show this).
 
 6.  [:grinning:] *Integration and coordinates I*