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SI2360 Analytical Mechanics and Classical Field Theory 7.5 credits

This is an advanced course on classical physics, including mechanics and classical field theory. It should be useful for everybody who wants to further develop skills and understanding which are the basis of many modern developments of theoretical physics. The aim is to give a good working knowledge of the formalisms of Lagrange and Hamilton and their applications in classical (i.e. non-quantized) non-relativistic and relativistic systems. In addition one will learn various concepts which play an important role in modern theoretical physics, including symmetry principles, the structure of space-time, and the geometric structure of mechanics.

Information per course offering

Termin

Information for Spring 2026 Start 16 Mar 2026 programme students

Course location

AlbaNova

Duration
16 Mar 2026 - 1 Jun 2026
Periods

Spring 2026: P4 (7.5 hp)

Pace of study

50%

Application code

60925

Form of study

Normal Daytime

Language of instruction

English

Course memo
Course memo is not published
Number of places

Min: 8

Target group
Students in F-program 3rd year; master studends in F-program; master students in other KTH programs 
Planned modular schedule
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Contact

Examiner
No information inserted
Course coordinator
No information inserted
Teachers
No information inserted

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SI2360 (Spring 2026–)
Headings with content from the Course syllabus SI2360 (Spring 2026–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Analytical mechanics: Lagrangian formalism and equations of motion, Noether's theorem in Lagrangian formalism, effective potentials, applications. Hamiltonian formalism and equations of motion, Poisson brackets, canonical transformations, Noether's theorem in Hamiltonian formalism.

Mathematical tools: Introduction to group theory and differential geometry. Symplectic geometry.

Physical applications: Examples in non-relativistic and relativistic mechanics.

Classical field theory: Strings and membranes. The Klein-Gordon field. Maxwell's equations.​

Intended learning outcomes

After completion of the course you should be able to:

  • use the formalisms of Lagrange and Hamilton in specific examples.
  • analyze important equations in classical physics.
  • solve a larger variety of problems using methods in analytical mechanics than before.
  • apply the mathematical tools that have been developed during the course.
  • analyze and apply equations in classical field theory.

Literature and preparations

Specific prerequisites

English B/English 6

Knowledge of mechanics corresponding to SG1113 Mechanics, Continuation Course and knowledge of physics corresponding to SI1200 Mathematical Methods in Physics.

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

Grading scale

A, B, C, D, E, FX, F

Examination

  • TENT - Written examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F

  • Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
  • The examiner may apply another examination format when re-examining individual students.
  • If the course is discontinued, students may request to be examined during the following two academic years.

Examiner

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

Physics

Education cycle

Second cycle