Lecture Notes for PHY 505, Electrodynamics

Lecture 1, 2-1-2021
Canceled because of snow

Lecture 2, 2-3-2021
Introduction, Coulomb Law

Lecture 3, 2-5-2021
Electric Field, Potential, Gauss Law

Lecture 4, 2-8-2021
Poisson Equation, Expansion in Spherical Harmonics

Lecture 5, 2-10-2021
Solution of Laplace Equation in Spherical Coordinates, Spherical Harmonics

Lecture 6, 2-12-2021
Function spaces, Charge above Conducting Surface Using Spherical Harmonic

Lecture 7, 2-15-2021
Image Charges, Expansions of 1/|\vec r- \vec r'| in Spherical Harmonics.

Lecture 8, 2-17-2021
Rotations and Spherical Harmonics, Multipole Expansion, Potential of a dipole

Lecture 9, 2-19-2021
Electrostatics of Conductors, Uniqueness Theorem, Green's Function with Application

Lecture 10, 2-22-2021
Greens Function with Boundary Conditions, Energy of Electric Field

Lecture 11, 2-24-2021
Stress Tensor and Force, Example

Lecture 12, 2-26-2021
Electrostatics in Matter

Lecture 13, 3-1-2021
Electrostatic Energy in Matter, Boundary Conditions, Current

Lecture 14, 3-3-2021
Experimental Results for Magnetism, Newton 3, Pseudo-Vector, Ampere's Law

Lecture 15, 3-5-2021
Multipole Expansion, Magnetic Moment

Lecture 16, 3-8-2021
Magnetic Fields in Matter

Lecture 17, 3-10-2021
Magnetic Fields of Permanent Magnet, Paramagnetism, Diamagnetism

Lecture 18, 3-12-2021
Magnetic Flux, Electromotive Force

Lecture 20, 3-17-2021
Consistency of Maxwell Equations, Displacement Current

Lecture 21, 3-19-2021
Example of Displacement Current. Energy and Momentum Tensor of Magnetic Fields

Lecture 22, 3-22-2021
Magnetic Energy, Momentum Tensor, Forces on Charges and Currents

Lecture 23, 3-24-2021
Momentum Density, Angular Momentum Density

Lecture 25, 3-29-2021
Time dependent Maxwell Equations in Vacuum

Lecture 26, 3-31-2021
Time dependent Maxwell Equations in Dipole Approximation of Matter, Boundary Conditions

Lecture 27, 4-2-2021
Waves in matter, energy density

Lecture 28, 4-5-2021 Energy Flow, Solution of the Maxwell Equations for an Infinite Slab

Lecture 29, 4-7-2021
Reflection, Refraction, Snel's Law, Full Solution

Lecture 30, 4-9-2021 Imaginary \epsilon. Helicity and Angular Momentum

Lecture 31, 4-12-2021
Vector and Scalar Potentials, Coulomb Gauge, Lorentz Gauge

Lecture 32, 4-14-2021
Green's Functions. Retarded Fields

Lecture 33, 4-16-2021
Green's Function, Retarded Fields

Lecture 34, 4-19-2021
Radiation Fields Lecture 35, 4-21-2021
Radiation by slowly moving Charges, Larmor Formula

Lecture 36, 4-23-2021
Multipole Expansion, Electric Dipole Radiation

Lecture 39, 4-30-2021
Lie algebra of the Lorentz Group

Lecture 40, 5-3-2021
Relativistic Kinematics

Lecture 41, 5-5-2021
Lagrange Equations of Motion

Lecture 42, 5-7-2021
Lagrangian of EM field, EM field tensor