Differences

This shows you the differences between two versions of the page.

--- advanced_tools:group_theory:su2 [2018/03/17 16:02]
jakobadmin [Student]
+++ advanced_tools:group_theory:su2 [2018/04/15 16:30]
aresmarrero [Student]
@@ Line 23: / Line 23: @@
 Elements of $SU(2)$ can be written as
-$$ U(x) = e^{i  \vec{r} \vec{\sigma} },$$
+$$ U(x) = e^{i a \vec{r} \vec{\sigma} }= e^{i a \vec{r} \vec{\sigma}} = \cos(a) + i \vec{r} \vec{\sigma} \sin( a )$$
 where $\vec{\sigma}=(\sigma_1,\sigma_2,\sigma_3)$ are the usual Pauli matrices and $ \vec{r} $ is a unit vector.
+----
+**Representations**
+[{{ :advanced_tools:group_theory:su2reps.png?nolink |Diagram by Eduard Sackinger}}]
 <tabbox Researcher>