User Tools

Site Tools


advanced_tools:group_theory:su2

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
advanced_tools:group_theory:su2 [2023/04/17 03:23]
edi [Concrete]
advanced_tools:group_theory:su2 [2025/03/08 21:24] (current)
edi [Concrete]
Line 27: Line 27:
 **Representations** **Representations**
  
-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/​blog/lie-groups-and-their-representations/#su2_qm_spin|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/​rotation-in-3-dimensions-and-angular-momentum/#su2|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/su2.1681694598.txt.gz ยท Last modified: 2023/04/17 03:23 by edi