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--- advanced_tools:group_theory:su2 [2020/12/05 18:29]
edi [Intuitive]
+++ advanced_tools:group_theory:su2 [2020/12/05 18:35]
edi [Concrete]
@@ Line 27: / Line 27: @@
 **Representations**
-The diagram below shows the defining 2-dimensional representation of $SU(2)$, which describes spin-$1/2$ particles, in its upper branch. A 3-dimensional representations of the same group, which describes spin-$1$ particles, is shown in the lower branch.  For an explanation of this diagram and more representations of $SU(2)$ see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
+The diagram below shows the defining (2-dimensional) representation of $SU(2)$ in its upper branch and a 3-dimensional representations of the same group in the lower branch. An important application of these two representations is the rotation of the quantum state of a spin-1/2 and a spin-1 particle, respectively. For a more detailed explanation of this diagram and more representations of $SU(2)$ see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
 [{{ :advanced_tools:group_theory:su2_qm_spin.jpg?nolink }}]