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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] |
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**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 }}] |