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Lec29 量子力學導論 Angular momentum of eigenfunction ( Spherical Harmonic)
Angular Momentum 9: Spherical harmonics
Spherical Harmonics
Vector spherical harmonics
Spherical harmonics
Visualizing spherical harmonics – David Miller
Hopf indices of vector fields and multipoles. Hairy ball theorem. Topological charges of BICs.
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Last Updated: October 22, 2026
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Summary
Literature: 1. Bohren, C. F.; Huffmann, D. R. (2010). Absorption and scattering of light by small particles. New York: Wiley 2. In this video, we explore the mathematical beauty of We describe the possible fundamental vibrations on a In this video, I go over an introduction to 00:00:00 Intro 00:01:15 lecture 3. A reminder of the first part: youtu.be/bUfcVTIlJz0 00:02:22 These are a set of functions called Ch.4 Quantum mechanics in three dimensions Angular momentum of eigenfunction ( We consider the Laplace equation in three dimensional space in Nobody online seemed to have visualizations of the See web.stanford.edu/group/dabmgroup/cgi-bin/dabm/teaching/quantum-mechanics/ for links to all videos, slides, FAQs, ... ... a vector field 1:04 Sign of the index 1:29 Hairy ball theorem (Hedgehog theorem) 2:05 Multipoles (