User Tools

Site Tools


advanced_tools:group_theory:su2

Differences

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

Link to this comparison view

Both sides previous revision Previous revision
Last revision Both sides next revision
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** **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-dimensionalrepresentation 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 }}] [{{ :​advanced_tools:​group_theory:​su2_qm_spin.jpg?​nolink }}]
advanced_tools/group_theory/su2.txt ยท Last modified: 2020/12/26 22:52 by edi