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Quantum Engineering Year 1: Quantum Mechanics Core Month 16Day 432

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Year 1·Month 16·Week 2

Day 432: Degeneracy and Symmetry

Day 432 of 2,016~2 min read

Learning Objectives

•Calculate the degeneracy g_n = n² (or 2n² with spin)
•Explain why different l values are degenerate
•Understand the Runge-Lenz vector
•Recognize the hidden SO(4) symmetry
•Compare with other central potentials
•Connect to supersymmetry concepts

Today's Schedule (7 hours)

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Degeneracy Count Comparison of Degeneracies The Runge-Lenz Vector Quantum Runge-Lenz SO4 Symmetry Consequence Quantum Computing Connection Symmetry-Adapted Circuits

Day 431Day 432 of 2,016Day 433