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FSI3020 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.

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Headings with content from the Course syllabus FSI3020 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Review of elementary Newtonian mechanics (Newton's laws, Galilei transformations and conservation laws, accelerated reference systems, etc.). Principles of canonical mechanics (Lagrange and Hamilton formalism, canonical transformations, Hamilton-Jacobi equations, etc.). The mechanics of rigid bodies. Relativistic mechanics (Lorentz transformations etc.). Geometric aspects of mechanics (introduction to differential geometry and its use in mechanics). Continuous systems (introduction to classical field theory).

Intended learning outcomes

After completed course, the PhD student should be able to:

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

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

Obligatory courses in Mechanics and Mathematical Methods in Physics.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

F. Scheck, Mechanics. From Newton's laws to deterministic chaos. Springer (1999)

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F

Examination

  • INL1 - Assignment, 3,0 hp, betygsskala: P, F
  • TEN1 - Oral exam, 4,5 hp, betygsskala: P, 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.

Other requirements for final grade

A written and/or oral exam.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

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Examiner

Profile picture Edwin Langmann

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 web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FSI3020

Offered by

SCI/Physics

Main field of study

No information inserted

Education cycle

Third cycle

Add-on studies

No information inserted

Contact

Edwin Langmann

Postgraduate course

Postgraduate courses at SCI/Physics