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Quantum Engineering Year 1: Quantum Mechanics Core Month 15Day 405

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Year 1·Month 15·Week 2

Day 405: Higher Spin Representations

Day 405 of 2,016~7 min read

Learning Objectives

•Construct spin matrices for s = 1, 3/2, 2
•Verify the angular momentum algebra for higher spins
•Calculate eigenvalues and eigenstates
•Understand the (2s+1)-dimensional representations of SU(2)
•Connect higher spin to quantum computing (qutrits)

Today's Schedule (7 hours)

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1 General Spin-s Particles 2 Spin-1 Triplet 3 Spin-32 4 General Construction 5 SU2 Representations Quantum Computing Connection

Day 404Day 405 of 2,016Day 406