Spring 2022, Jacobus Verbaarschot

Lecture 1, 1-24-2022

Introduction, Coulomb Law

Lecture 2, 1-26-2022

Electric Field, Potential, Gauss Law

Lecture 3, 1-28-2022

Poisson Equation, Expansion in Spherical Harmonics

Lecture 4, 1-31-2022

Solution of Laplace Equation in Spherical Coordinates, Spherical Harmonics

Lecture 5, 2-2-2022

Function spaces, Charge above Conducting Surface Using Spherical Harmonic

Lecture 6, 2-4-2022

Image Charges, Expansions of 1/|\vec r- \vec r'| in Spherical Harmonics.

Lecture 7, 2-7-2022

Rotations and Spherical Harmonics, Multipole Expansion, Potential of a dipole

Lecture 8, 2-9-2022

Electrostatics of Conductors, Uniqueness Theorem, Green's Function with
Application

Lecture 9, 2-11-2022

Greens Function with Boundary Conditions, Energy of Electric Field

Lecture 10, 2-14-2022

Stress Tensor and Force, Example

Lecture 11, 2-16-2022

Electrostatics in Matter

Lecture 12, 2-18-2022

Electrostatic Energy in Matter, Boundary Conditions, Current

Lecture 13, 2-21-2022

Experimental Results for Magnetism, Newton 3, Pseudo-Vector, Ampere's Law

Lecture 14, 2-23-2022

Multipole Expansion, Magnetic Moment

Lecture 15, 2-25-2022

Magnetic Fields in Matter

Lecture 16, 2-28-2022

Magnetic Fields of Permanent Magnet, Paramagnetism, Diamagnetism

Lecture 17, 3-2-2022

Magnetic Flux, Electromotive Force

Lecture 18, 3-4-2022

Faraday's Law

Lecture 19, 3-7-2022

Consistency of Maxwell Equations, Displacement Current

Lecture 20, 3-9-2022

Example of Displacement Current. Energy and Momentum Tensor of Magnetic Fields

Lecture 21, 3-11-2022

Magnetic Energy, Momentum Tensor, Forces on Charges and Currents

Spring Break: March 14-18

Lecture 22, 3-21-2022

Momentum Density, Angular Momentum Density

Lecture 23, Midterm 3-23-2022

Solutions of Midterm

Lecture 24, 3-25-2022

Time dependent Maxwell Equations in Vacuum

Lecture 25, 3-28-2022

Time dependent Maxwell Equations in Dipole Approximation of Matter,
Boundary Conditions

Lecture 26, 3-39-2022

Waves in matter, energy density

Lecture 27, 4-1-2022
Energy Flow, Solution of the Maxwell Equations for an Infinite Slab

Lecture 28, 4-4-2022

Reflection, Refraction, Snel's Law, Full Solution

Lecture 29, 4-6-2022
Imaginary \epsilon. Helicity and Angular Momentum

Lecture 30, 4-8-2022

Vector and Scalar Potentials, Coulomb Gauge, Lorentz Gauge

Lecture 31, 4-10-2022

Green's Functions. Retarded Fields

Lecture 32, 4-13-2022

Green's Function, Retarded Fields

Lecture 33, 4-15-2022

Radiation Fields

Lecture 34, 4-18-2022

Radiation by slowly moving Charges, Larmor Formula

Lecture 35, 4-20-2022

Multipole Expansion, Electric Dipole Radiation

Lecture 36, 4-22-2022

Relativity
Lecture 37, 4-25-2022

4 vectors, Lorentz Group

Lecture 38, 4-27-2022

Lie algebra of the Lorentz Group

Lecture 39, 4-29-2022

Relativistic Kinematics

Lecture 40, 5-2-2022

Lagrange Equations of Motion

Lecture 41, 5-4-2022

Lagrangian of EM field, EM field tensor

Lecture 42, 4-6-2022

Lagrangian of EM field, EM field tensor

Final Exam, Wednesday, 5-18-2021, 8-10.45 am