Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients]
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Powerpoint slide files + Exercise answers: https://github.com/eigenchris/MathNot...
ClebschGordan Tables: https://pdg.lbl.gov/2002/clebrpp.pdf
Videos on ClebschGordan Coefficients:
• Deriving Clebsch–Gordan Coefficients ...
• Clebsch–Gordan Coefficients Explained
0:00 Introduction
2:45 Direct Sum vs Tensor Product
7:19 Multiparticle 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 ClebschGordan Coefficients
29:28 3 and 4 spinor products
32:40 Weight Diagrams
35:12 Building tensors using spinors
36:59 Larger Tensor Product Reps.
