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Currently Playing: Spinors for Beginners 3: Polarizations and SU(2) Matrices [and O(3), SO(3), U(2)]

Full spinors playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hoOo_wMb0b6T44KM_ABZtBs Leave me a tip: https://ko-fi.com/eigenchris Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNotes/tree/master/SpinorsForBeginners MinutePhysics video on polarizers: https://www.youtube.com/watch?v=zcqZHYo7ONs 3Blue1Brown video on polarizers: https://www.youtube.com/watch?v=MzRCDLre1b4 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