# Syllabus for Special Relativity

Speciell relativitetsteori

• 5 credits
• Course code: 1FA156
• Education cycle: Second cycle
• Main field(s) of study and in-depth level: Physics A1N
• Grading system: Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
• Established: 2014-03-13
• Established by:
• Revised: 2022-10-13
• Revised by: The Faculty Board of Science and Technology
• Applies from: Autumn 2023
• Entry requirements:

120 credits with Linear Algebra II. Participation in Mechanics III. Proficiency in English equivalent to the Swedish upper secondary course English 6.

• Responsible department: Department of Physics and Astronomy

## Learning outcomes

On completion of the course, the student should be able to:

• transform displacements, velocities, momenta, etc. from one inertial frame to another
• explain and compute doppler shifts, aberrations and other light phenomena
• determine outcomes of relativistic colissions including Compton scattering
• explain the concept of the stress-tensor and determine it in different inertial frames
• write down Maxwell's equations in covariant form
• solve Maxwell's equations in the vacuum for various situations, including a radiating particle

## Content

Lorenz transformations: Minkowski space. Interval, proper time. Rotation group and Lorenz group. 4-vectors. Dirac and Majorana spinors.

Relativistic Mechanics: 4-velocity and 4-momentum. Relativistic particles. 4-force and 4-acceleration. Energy-momentum conservation. Collisions.

Relativistic treatment of electromagnetism: 4-vectors for electric charge and current density, tensor form of electromagnetic fields. Relativistic motion for a point charge in an electromagnetic field. Maxwell's equations in covariant form. Electromagnetic wave equation.

## Instruction

Lectures and tutorials.

## Assessment

Written examination.

In addition there are hand-in problems. Credit points from these are included only in the regular exam and the first regular re-exam.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

## Other directives

The course may not be included in the same higher education qualifications as 1FA154 Analytical mechanics and special relativity.