PH5211 Electrodynamics II ... (2-0-0) s ... 2Cr
offered in alternate years starting spring 2007
Course Description:
Scattering and diffraction, special relativity, relativistic particle
dynamics, Lorenz transformation, 4-vectors, transformation of fields,
charges and currents, Thomas precession, retarded potentials, radiation
from moving charges.
Prerequisite: PH5210 or permission of instructor.
Text (Spring, 2004):
-
Classical Electrodynamics, 3 rd ed., J. D. Jackson (ISBN 0-471-30932-x)
Typical Syllabus
- Week 1. Scattering in the long wave length limit by single scatterers and
collections of scatterers.
- Week 2. Mie scattering.
- Week 3. Scalar and vector diffraction theory.
- Week 4. Shorth wave length limit of scattering.
- Week 5. The optical theorem. Experimental basis for relativity. Einstein's postulate.
- Week 6. Galilean and Lorentz transformations, Doppler shifts, 4-vectors, space-time metric.
- Week 7. Velocity and momentum 4-vectors, relativistic mechanics, Lorentz
transformation of tensors, generators of the Lorentz group.
- Week 8. Composition of non-parallel Lorentz boosts, Thomas precession.
- Week 9. Transformations of electric and magnetic fields, Lagrangians and Hamiltonians
for charged particles in EM fields, particle motion in uniform electric
and magnetic fields.
- Week 10. Particle drift in non-uniform magnetic fields, adiabatic invariance of the
flux through particle orbit, the Darwin Lagrangian.
- Week 11. Solution of the wave equation in covariant form, charge density and current
density as a 4-vector, scalar and vector potentials as a 4-vector.
- Week 12. The retarded potentials of a point charge, velocity and acceleration fields.
- Week 13. Power, angular distribution and frequency spectrum of radiation emitted
by accelerated charges.
- Week 14. Radiation from accelerated charges (continued), energy loss of fast charged
particles in a medium.
- Week 15. Density effect in energy loss, Cherenkov radiation.
Course Rationale
One of the core required courses for graduate degrees in Physics.
Last Modified: Wednesday, 28-Mar-2007 16:42:13 EDT