This course is an introduction to analytical mechanics, with a focus on Lagrange and Hamilton formalism.
In this course you will learn how to describe physical systems using the methods of analytical mechanics. We will see how the equations of motion can be obtained from a Lagrangian or a Hamiltonian, as well as how to make use of symmetries in order to solve problems. We discuss concepts such as canonical transformations, the Hamilton-Jacobi equation and Poisson brackets. As the theory is developed some striking similarities between quantum mechanics and classical mechanics will appear. We will also cover some of the basic concepts in Chaos theory.
This is an advanced level course, mandatory for the Master's Programme in Theoretical Physics, but highly recommended also for the other programmes. It runs at half-speed daytime.
The teaching consists of lectures and tutorials. Included is also an individual project, resulting in a written report, which is discussed in class towards the end of the course.
The main part of the examination consists of a written exam at the end of the course. Apart from this there is a mandatory written individual report, covering some special topic. Each topic is discussed in class, and the reports are also peer-assessed.
Course responsible and teacher:
Jonas Larson, phone: 08-5537 8217, email: email@example.com
Marcus Högås, email: firstname.lastname@example.org
ScheduleThis is a preliminary schedule and is subject to continuous change. For this reason, we do not recommend print-outs. At the start of the course, your institution will advise where you can find your schedule during the course.
Course literatureNote that the course literature can be changed up to two months before the start of the course.
H. Goldstein, C. Poole and J. Safko, "Classical Mechanics", 3rd edition, Pearson Education, ISBN 0-321-18897-7
Academic advisor at the Department of Physics: