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FSI3130 Differential Geometric Methods in Physics 7.5 credits

Course offerings are missing for current or upcoming semesters.
Headings with content from the Course syllabus FSI3130 (Spring 2009–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Manifolds, tangent bundles and vector fields. Differential forms and integration on manifolds. Riemannian metrics, geodesics and parallel transport. Symplectic geometry and the Hamiltonian formulation of classical mechanics. Yang-Mills theory and minimal coupling in particle physics.

Intended learning outcomes

To give an understanding of the mathematical principles of differential geometry and their applications by studying a number of examples. These include classical mechanics, general relativity and particle physics.

Literature and preparations

Specific prerequisites

Theory of Relativity.

Recommended prerequisites

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Equipment

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Literature

M. Nakahara: Geometry, Topology, and Physics. A Hilger 1990.

Examination and completion

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

Grading scale

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Examination

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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

Written examination.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

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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

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

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Contact

Jouko Mickelsson

Postgraduate course

Postgraduate courses at SCI/Physics