Analytical Mechanics
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.
Information for admitted students spring 2025
Congratulations! You have been admitted at Stockholm University and we hope that you will enjoy your studies with us.
In order to ensure that your studies begin as smoothly as possible we have compiled a short checklist for the beginning of the semester.
Follow the instructions on whether you have to reply to your offer or not.
universityadmissions.se
Checklist for admitted students
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Activate your university account
The first step in being able to register and gain access to all the university's IT services.
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Register at your department
Registration can be done in different ways. Read the instructions from your department below.
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Read all the information on this page
Here you will find what you need to know before your course or programme starts.
IMPORTANT
Your seat may be withdrawn if you do not register according to the instructions provided by your department.
Information from the department
Everyone admitted to a course in Physics will receive a welcome letter with important information from us via e-mail. If you have not receive an e-mail by mid-January, please contact our Academic advisor! Unfold and read more.
Roll-call
Courses at the Department of Physics do not have a roll-call. Instead the course starts with the first lecture.
Registration
After being admitted to a course, you must register to confirm that you are starting your studies. For most of our courses this can be done online using your university account. Registration normally opens two weeks before the course starts and you must have registered at the latest one week after. If you have any problems with registration, contact our Student office. Contact details can be found below.
Click here to register online.
Learning platform
Most of the courses in physics use the Athena learning platform. Once registered, the course should appear automatically in Athena. If you cannot find the course, contact the course coordinator. If the course uses a different website, you can find the link further down on this web page.
Conditionally admitted
If you are conditionally admitted to a course at our department you need to contact our Academic advisor before you can register. Contact us as soon as possible, well before the course starts. Contact details are found further down on this web page.
Applicants on waiting list
Are you placed on a waiting list to any of our courses? You will always be contacted via e-mail if you are offered a place. Normaly we will not admit new students if more than 1 week has passed after the first lecture.
Find the Departmend of Physics
Most of the physics courses are held in the AlbaNova building, located between the Frescati campus and the Royal Institute of Technology (Tekniska högskolan, KTH). Courses in medical radiation physics are sometimes held at Campus Karolinska Hospital. A few of our physics courses are also given in collaboration with KTH or other departments. If this is the case it is clearly stated further down on this web page.
Welcome activities
Stockholm University organises a series of welcome activities that stretch over a few weeks at the beginning of each semester. The programme is voluntary (attendance is optional) and includes Arrival Service at the airport and an Orientation Day, see more details about these events below.
Your department may also organise activities for welcoming international students. More information will be provided by your specific department.
Find your way on campus
Stockholm University's main campus is in the Frescati area, north of the city centre. While most of our departments and offices are located here, there are also campus areas in other parts of the city.
Read more
For new international students
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.
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Course structure
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.
Teaching format
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.
Assessment
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.
Examiner
Jonas Larson
Phone: +468 5537 8217
E-mail: jonas.larson@fysik.su.se
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Schedule
The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course. -
Course literature
Note 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 10: 1-292-02665-3, ISBN 13: 978-1-292-02665-8
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Course reports
Här ligger ett skript.
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Contact
Course coordinator and teacher:
Jonas Larson, phone: +468 5537 8217, e-mail: jonas.larson@fysik.su.seTutorials:
Lukas Andre Rødland, e-mail: lukas.rodland@fysik.su.seAcademic advisor at the Department of Physics: studievagledare@fysik.su.se
Student office: studentexp@fysik.su.se
