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).
FSI3020 Analytical Mechanics and Classical Field Theory 7.5 credits
Information per course offering
Course offerings are missing for current or upcoming semesters.
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus FSI3020 (Spring 2019–)Headings with content from the Course syllabus FSI3020 (Spring 2019–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
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.
Literature and preparations
Specific prerequisites
Obligatory courses in Mechanics and Mathematical Methods in Physics.
Literature
F. Scheck, Mechanics. From Newton's laws to deterministic chaos. Springer (1999)
Examination and completion
Grading scale
P, F
Examination
- INL1 - Assignment, 3.0 credits, grading scale: P, F
- TEN1 - Oral exam, 4.5 credits, grading scale: 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.
If the course is discontinued, students may request to be examined during the following two academic years.
Other requirements for final grade
A written and/or oral exam.
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
Education cycle
Third cycle