PřF:F5510 Analytical mechanics - Course Information
F5510 Analytical mechanicsFaculty of Science
- Extent and Intensity
- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- doc. Klaus Bering Larsen, Ph.D. (lecturer)
doc. Klaus Bering Larsen, Ph.D. (seminar tutor)
- Guaranteed by
- prof. RNDr. Jana Musilová, CSc.
Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science
Contact Person: doc. Klaus Bering Larsen, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science
- Mon 17. 9. to Fri 14. 12. Mon 17:00–18:50 F3,03015
- Timetable of Seminar Groups:
- Knowledge of elementary classical mechanics, electrodynamics and special relativity.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Physics (programme PřF, N-FY)
- Course objectives
- The Lagrangian and Hamiltonian formalism in classical mechanics and relativistic field theory; variational principles; symmetry, conservation laws and Noether's theorems; Poisson brackets; canonical transformations; Hamilton-Jacobi theory; the canonical and symmetrical tensors of energy-momentum, connections between classical and quantum mechanics, the mathematical fundament of general theory of relativity. The main aim of this lecture is: to understand the formal basis of modern theoretical physics; to acquire connections between symmetries, conservation laws and equations of motion; to obtain ability to read contemporary physical literature.
- Lagrangian formalism in the classical mechanics
- First theorem of E. Noether in the classical mechanics
- Lagrangian formalism in the field theory
- Connections between symmetries, conservation laws and field equations
- Second theorem of E. Noether
- Energy-momentum tensors
- Hamiltonian formalism, Poisson brackets, canonical transformations
- Hamilton-Jacobi equation
- Connection between classical mechanics, quantum mechanics and statistical physics
- Mathematical foundations of general theory of relativity
- KRUPKA, Demeter. Lectures on differential invariants. Edited by Josef Janyška. Vyd. 1. Brno: Univerzita J.E. Purkyně, 1990. 193 s. ISBN 8021001658. info
- LANDAU, Lev Davidovič and Jevgenij Michajlovič LIFŠIC. The classical theory of fields. Translated by Morton Hamermesh. 4th rev. Engl. ed. Oxford: Elsevier Butterworth-Heinemann, 1975. xiii, 428. ISBN 0-7506-2768-9. info
- LANDAU, Lev Davidovič and Jevgenij Michajlovič LIFŠIC. Mechanics. 2nd ed. Oxford: Pergamon Press, 1969. vii, 165 s. info
- Teaching methods
- two theoretical lectures, one exercise (solving problems)/a week
- Assessment methods
- credit for appropriate participation in the exercises; oral exam.
- Language of instruction
- Further Comments
- The course can also be completed outside the examination period.
The course is taught annually.