Spinors for Beginners 3: Polarizations and SU(2) Matrices [and O(3), SO(3), U(2)]
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0:00 Introduction
0:57 Waveplates
2:25 D-to-L rotation
4:43 H-to-L rotation
7:32 Ignoring overall phase shifts
8:52 H-to-A rotation and the Poincaré Sphere
10:08 U(2) Matrices
10:49 O(3) Matrices for Real vectors
13:25 SO(3) Matrices for 3D Rotations
15:12 Hermitian Conjugates
17:00 U(2) Matrices for Complex vectors
18:33 SU(2) Matrices for Rotating Jones Vectors
20:53 Why Jones vectors are Spinors (angle-doubling)
23:31 Next Video
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