Spherical Harmonics Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Conjugate Points Along Spherical Harmonics and Quasi-geostrophic Motion

Explore geometric principles of quasi-geostrophic flows, examining curvature, conjugate points, and Coriolis effects on spherical harmonics for enhanced understanding of flow stability and evolution.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Theory of Angular Momentum

20 ratings at Coursera

Explore quantum mechanical angular momentum, including operators, eigenvalues, and addition theory. Gain skills to analyze states, solve equations, and perform quantum calculations.

• Coursera
• 12 hours 48 minutes
• On-Demand
• Paid Course

Richard Behiel

The Hydrogen Atom - Solving the Schrödinger Equation - Part 2

Dive into quantum mechanics with a detailed mathematical exploration of the Schrodinger equation's solutions for hydrogen atoms, covering spherical harmonics, radial functions, and energy states.

• YouTube
• 46 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Tides in Binary Star Systems - Lecture 1

Explore gravitational waves, tides in binary star systems, and multipole moments in this advanced lecture on theoretical astrophysics and gravitational-wave astronomy.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Solution - Lecture 71

Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Fields Institute

Shift Operators on Harmonic Hilbert Function Spaces - Von Neumann Inequality - Harmonic Polynomials

Exploring shift operators, von Neumann inequality, and harmonic polynomials in function spaces, with focus on spherical harmonics and their applications in analysis.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

An Overdetermined Eigenvalue Problem and the Critical Catenoid Conjecture

Explore an overdetermined eigenvalue problem on the two-sphere and its implications for characterizing the critical catenoid as a unique embedded free boundary minimal annulus.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Wolfram

Design Optimal Discrete Magnetic Coils with Wolfram Language

Optimize discrete magnetic coil designs using spherical harmonic mapping and Wolfram Language's root-finding capabilities for precise, compact, and easily fabricated magnetic field generation.

• YouTube
• 28 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72

Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.

• YouTube
• 13 minutes
• On-Demand
• Free Video

University of Chicago Department of Mathematics

Growth of Laplacian Eigenfunctions

Delve into the growth patterns of Laplacian eigenfunctions on compact manifolds, exploring concentration phenomena and the intriguing 'spooky action at a distance' in mathematical contexts.

• YouTube
• 55 minutes
• On-Demand
• Free Video

INI Seminar Room 2

The Normal Radon Transform Acting on 3D Tensor Fields

Delve into advanced integral geometry and tensor field reconstruction through normal Radon transform analysis, featuring singular value decomposition and polynomial expressions for inverse operators.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Inside Livermore Lab

MFEM in Glacial Isostatic Adjustment

Explore advanced finite element methods for modeling glacial isostatic adjustment, coupling solid-Earth deformation with self-gravitation using innovative boundary operators.

• YouTube
• 25 minutes
• On-Demand
• Free Video