Physics 613: Electrodynamics and Special Relativity
This course will be given during winter 2006 at the University of Calgary.
Lectures will take place Monday, 11:00-12:15am and Tuesday,
3:30-4:45pm in SS 115 (Social Science).
This is a graduate course held during winter
2006 at the University of Calgary.
The course is based on
You may also download an incomplete German
version of the lecture notes.
In addition, participants may consider to get the book
Classical Electrodynamics by J.D. Jackson.
The final exam will be held on Monday, April 17, from 12:00-2:00pm
in SS 105.
- Assignment 1, due on January 17.
- Assignment 2, due on January 24.
- Assignment 3, due on January 31.
- Assignment 4, due on February 7.
- Assignment 5, due on February 14.
- Assignment 6, due on March 3.
- Assignment 7, due on March 10.
- Assignment 8, due on March 17.
- Assignment 9, due on March 24.
- Assignment 10, due on March 31.
- Assignment 11, due on April 7.
- Assignment 12, due on April 14.
Preliminary Table of Contents of Lecture Notes
- Maxwell equations and gauge transformations
- Maxwell equations
- Basic facts about linear
- Scalar and vector potential
- Gauge transformations
- Interaction with charged particles
- Energy- and momentum density
- Coulomb potential, Poisson and Laplace equations
- Green's functions
- Boundary conditions, Green's theorem
- The method of mirror charges
- Green's functions in spherical coordinates
- Field equations and their solutions
- The law of Biot and Savart
- Magnetic quadrupole traps
- Dynamical fields
- Plane waves
- Green's functions
- Liénard-Wiechert potentials
- Multipole expansion
- Scalar multipoles
- Multipole expansion for vector fields
- Electrodynamics in dielectric media
- Macroscopic Maxwell equations
- Continuity relations at boundaries between two
- Electrostatic problems in dielectric media
- Clausius-Mosotti and Lorentz-Lorenz relations
- Magnetized media
- Linear and nonlinear optics
- Reflection and refraction
- Total reflection
- Birefringence and optical activity
- Eikonal approximation, geometric optics
- Paraxial approximation and focused light beams
- Nonlinear optics
- Example 1: harmonic generation
- Example 2: Solitons
- Special relativity
- Form invariance of dynamical equations,
- Einstein's postulates, Lorentz transformations
- Length contraction and time dilation
- Lorentz group and tensors
- Electrodynamics in relativistic notation
- Proper time and relativistic mechanics
- Twin paradox
- The barn pole paradox
- How a moving object is perceived
- A glimpse beyond this course
- General relativity
- Quantum electrodynamics
- Useful equations
- Calculations involving the
δ distribution and Kronecker's symbol
- Gradient, curl, and all that
- Vector identities
- Laplace operator in spherical coordinates
- Integral theorems
- Gauss' theorem
- Stokes' theorem
- Green's integral identities