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Quantum Engineering Year 1: Quantum Mechanics Core Month 15Day 397

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Year 1·Month 15·Week 1

Day 397: Spherical Harmonics I

Day 397 of 2,016~7 min read

Learning Objectives

•Define spherical harmonics as eigenfunctions of L̂² and L̂ᵤ
•Write explicit forms for l = 0, 1, 2
•Verify orthonormality on the unit sphere
•Understand parity properties
•Connect spherical harmonics to atomic orbitals

Today's Schedule (7 hours)

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1 Definition and Properties 2 Explicit Formula 3 Explicit Forms for Low l 4 Orthonormality 5 Completeness 6 Parity 7 Complex Conjugate Quantum Computing Connection

Day 396Day 397 of 2,016Day 398