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
About course offering
For course offering
Spring 2024 Start 18 Mar 2024 programme students
Target group
No information insertedPart of programme
No information insertedPeriods
P4 (7.5 hp)Duration
Pace of study
50%
Form of study
Normal Daytime
Language of instruction
English
Course location
AlbaNova
Number of places
Places are not limited
Planned modular schedule
Course memo
Course memo is not publishedSchedule
Schedule is not publishedApplication
For course offering
Spring 2024 Start 18 Mar 2024 programme students
Application code
60767
Contact
For course offering
Spring 2024 Start 18 Mar 2024 programme students
Contact
Edwin Langmann
Examiner
No information insertedCourse coordinator
No information insertedTeachers
No information insertedContent 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
Equipment
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
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
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.