### Site Tools

 advanced_tools:group_theory:su2 [2020/12/05 18:35]edi [Concrete] advanced_tools:group_theory:su2 [2020/12/26 22:52] (current)edi [Intuitive] Both sides previous revision Previous revision 2020/12/26 22:52 edi [Intuitive] 2020/12/05 18:35 edi [Concrete] 2020/12/05 18:29 edi [Intuitive] 2020/11/28 18:40 edi [Concrete] 2020/09/07 04:19 [Concrete] 2018/04/15 16:31 aresmarrero 2018/04/15 16:30 aresmarrero [Student] 2018/03/17 16:03 jakobadmin [Student] 2018/03/17 16:02 jakobadmin [Student] 2018/03/17 16:01 jakobadmin [Student] 2017/12/17 12:02 jakobadmin [Why is it interesting?] 2017/12/17 11:59 jakobadmin [Student] 2017/12/04 09:01 external edit2017/11/03 14:10 jakobadmin created 2020/12/26 22:52 edi [Intuitive] 2020/12/05 18:35 edi [Concrete] 2020/12/05 18:29 edi [Intuitive] 2020/11/28 18:40 edi [Concrete] 2020/09/07 04:19 [Concrete] 2018/04/15 16:31 aresmarrero 2018/04/15 16:30 aresmarrero [Student] 2018/03/17 16:03 jakobadmin [Student] 2018/03/17 16:02 jakobadmin [Student] 2018/03/17 16:01 jakobadmin [Student] 2017/12/17 12:02 jakobadmin [Why is it interesting?] 2017/12/17 11:59 jakobadmin [Student] 2017/12/04 09:01 external edit2017/11/03 14:10 jakobadmin created Line 3: Line 3:  ​  ​ - 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.