Master’s studies

# Syllabus for Special Relativity

Speciell relativitetsteori

## Syllabus

• 5 credits
• Course code: 1FA156
• Education cycle: Second cycle
• Main field(s) of study and in-depth level: Physics A1N
• Grading system: Fail (U), 3, 4, 5
• Established: 2014-03-13
• Established by: The Faculty Board of Science and Technology
• Applies from: week 30, 2014
• Entry requirements: 120 credits with Linear Algebra II and Mechanics III.
• Responsible department: Department of Physics and Astronomy

## Learning outcomes

A student who has successfully passed the course 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.

## Other directives

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

Applies from: week 45, 2013

• Rindler, W. Introduction to Special Relativity

second edition: Oxford University Press,

Find in the library

Mandatory

• Minahan, Joseph Joe's Relatively Small Book of Special Relativity

Institutionen för fysik och astronomi, 2011

Will be provided at the start of the course.