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Quantum Engineering Year 1: Quantum Mechanics Core Month 16Day 439

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Year 1·Month 16·Week 3

Day 439: Good Quantum Numbers

Day 439 of 2,016~2 min read

Learning Objectives

•Define "good quantum numbers" via commutation
•Show why l and s are no longer good
•Demonstrate that j and m_j are good
•Construct the coupled basis |n, l, j, m_j⟩
•Apply Clebsch-Gordan coefficients

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Good Quantum Numbers Without Spin-Orbit With Spin-Orbit H H rLS The Coupled Basis For Spin-12

Day 438Day 439 of 2,016Day 440