FSI3130 Differential Geometric Methods in Physics 7.5 credits
This course has been discontinued.
Last planned examination: Spring 2021
Decision to discontinue this course:
No information insertedContent 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
Equipment
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
Examination
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
Opportunity to raise an approved grade via renewed examination
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.