FYSS7420 Sähköopin erikoiskurssi (10 op)

• Lorentz transformations and relativistic mechanics

• Electromagnetic field tensor

• Lorentz force in relativistic form

• Maxwell equations in tensor and differential form notation

• Tensor calculus

• Radiation from accerated charges: Lienart-Wiechert potentials

• Energy-momentum tensor of the electromagnetic field

• Radiation reaction

• Langragian form of the electromagnetic field coupled to charged particles 

At the end of this course, students will be able to

• Use Lorentz transformations to describe relativistic dynamics

• Apply Lorentz transformations to electromagnetic field variables

• Use tensor calculus in general coordinates

• Write the Maxwell equations in a relativistic invariant notation

• Explain the basic concepts underlying the electromagnetic energy-momentum tensor

• Write Maxwell theory in the language of differential forms

• Calculate the radiation from accelerated charges using Lienart-Wiechert potentials

• Describe the concept of radiation reaction

• Explain the Lagrangian form for charged particles coupled to electromagnetic fields

• Able to write a report on a topic related to advanced electrodynamics 

Good knowledge of electromagnetism 

Lecture notes and background articles.