Part 2: Charged Particles in Electromagnetic Fields
The main topics of this part of the course include four potential of a field, electromagnetic field tensors, Lorentz transformation of the field, gauge invariance, and Maxwell equations expressed in the covariant form. We will emphasize the use of least action principle, Lagrangian, and Hamiltonian for describing the relativistic charged particle motion in the external fields and for electromagnetic fields. We are hopeful that Parts 1 and 2 will lay down the foundation for mastering the relativistic electrodynamics.
Part 3: Radiation by Moving Charges
Liénard-Wiechert potentials and radiation theory are studied as core examples of applying the relativistic electrodynamics to real physics problems. We will learn how and why accelerated charges radiate. We will cover some interesting topics, including spatial and spectral properties of charged particle radiation using examples of particle radiation in bending magnets, undulators, and wigglers.
Part 4: More Topics
We plan to cover topics of collisions, energy loss and scattering of charged particles by focusing on Cherenkov radiation and transition radiation.
Part 5: Other Physics Topics
If we complete the ambitious curriculum above, we may discuss other selected topics in plasma physics, scattering, physical media, optics, and others. You are welcome to sign up for a research project related to one of these special topics.