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Quantum Engineering Year 3: Qualifying Exam Preparation Month 38Week 151

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Week 151: Angular Momentum Addition

Week 151 of 288~35 min read

Learning Objectives

•**Construct** coupled angular momentum states from uncoupled basis
•**Calculate** Clebsch-Gordan coefficients using recursion relations
•**Apply** angular momentum coupling to spin-orbit problems
•**Derive** selection rules from angular momentum conservation
•**Interpret** spectroscopic term symbols and atomic multiplets
•**Solve** qualifying exam problems on angular momentum addition

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Overview Learning Objectives Daily Schedule Day 1051 Monday Tensor Product Spaces Day 1052 Tuesday Clebsch-Gordan Coefficients I Day 1053 Wednesday Clebsch-Gordan Coefficients II Day 1054 Thursday Spin-Orbit Coupling Day 1055 Friday Selection Rules and Spectroscopy Day 1056 Saturday Problem Solving Session Day 1057 Sunday Integration and Assessment Key Equations Angular Momentum Addition Clebsch-Gordan Expansion Selection Rules Orthogonality Spin-Orbit Coupling Fine Structure Energy Common CG Coefficients Adding j_2 12 Adding j_2 1 Term Symbol Notation Week Files Resources Primary References CG Coefficient Tables