advanced_tools:group_theory:su2

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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] |
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**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-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 }}] | [{{ :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

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