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Quantum Engineering Year 0: Mathematical Foundations Month 8Day 202

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Year 0·Month 8·Week 1

Day 202: Multipole Expansion

Day 202 of 2,016~10 min read

Learning Objectives

•Derive the multipole expansion of the potential
•Calculate monopole, dipole, and quadrupole moments
•Understand the physical meaning of each multipole
•Apply multipole expansion to atomic and molecular systems
•Connect to quantum selection rules for transitions
•Understand the far-field approximation

Today's Schedule (7 hours)

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1 The Multipole Expansion 2 The First Three Terms 3 General Multipole Expansion 4 Distance Dependence 5 Electric Dipole Field 6 Energy of a Multipole in External Field Quantum Mechanics Connection Atomic Multipole Moments Selection Rules for Transitions Molecular Dipole Moments van der Waals Interactions

Day 201Day 202 of 2,016Day 203