## 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
lecture notes.
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.

Maxwell equations and gauge transformations Maxwell equations Basic facts about linear differential equations Scalar and vector potential Gauge transformations Interaction with charged particles Energy- and momentum density

Electrostatics 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

Magnetostatics 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 dielectrics 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, Galilei transformations Einstein's postulates, Lorentz transformations Length contraction and time dilation Lorentz group and tensors Electrodynamics in relativistic notation Proper time and relativistic mechanics Paradoxes 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

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