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
Choose semester and course offering
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Application
For course offering
Spring 2024 Start 18 Mar 2024 programme students
Application code
60767
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.
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 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.
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
No information inserted
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
This course does not belong to any Main field of study.
Education cycle
Third cycle
Add-on studies
No information inserted
Contact
Edwin Langmann