Lecture Notes on Methods for Electrodynamics (PHY505)

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