advanced_tools:group_theory:su2

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advanced_tools:group_theory:su2 [2020/12/05 18:35] edi [Concrete] |
advanced_tools:group_theory:su2 [2020/12/26 22:52] edi [Intuitive] |
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- | The Lie group $SU(2)$ describes all possible rotations of a spinorial object, that is, an object that needs to be rotated 720 degrees before returning to its initial state. A good example for such an object is a cube that is attached to a wall by belts: see the animations here [[https://en.wikipedia.org/wiki/Spinor]]. In physics, an important spinorial object is the fermion (e.g., an electron). | + | The Lie group $SU(2)$ describes all possible 3D rotations of a spinorial object, that is, an object that needs to be rotated 720 degrees before returning to its initial state. A good example for such an object is a cube that is attached to a wall by belts: see the animations here [[https://en.wikipedia.org/wiki/Spinor]]. In physics, an important spinorial object is the fermion (e.g., an electron). |

For small rotations $SU(2)$ is identical to $SO(3)$, that is, both groups have the same Lie algebra. | For small rotations $SU(2)$ is identical to $SO(3)$, that is, both groups have the same Lie algebra. |

advanced_tools/group_theory/su2.txt ยท Last modified: 2020/12/26 22:52 by edi

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