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Currently Playing: Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients]

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 Clebsch-Gordan Tables: https://pdg.lbl.gov/2002/clebrpp.pdf Videos on Clebsch-Gordan Coefficients: - https://www.youtube.com/watch?v=a6p_8J1QTww - https://www.youtube.com/watch?v=UPyf9ntr-B8 0:00 - Introduction 2:45 - Direct Sum vs Tensor Product 7:19 - Multi-particle systems 8:27 - Tensor Product of Lie Algebras 12:45 - Tensor product of su(2) reps 15:21 - Eigenvalue Operator 17:39 - Ladder Operators 20:50 - 2x2 = 3+1 24:09 - Casimir Operator 26:24 - Clebsch-Gordan Coefficients 29:28 - 3 and 4 spinor products 32:40 - Weight Diagrams 35:12 - Building tensors using spinors 36:59 - Larger Tensor Product Reps.