Details
| Course name | Analytical Mechanics |
| Module number | 13-E2-M016 |
| TUCaN course number |
13-E2-0016-vl (Lecture) 13-E2-0016-ue (Exercise) |
| Lecturer |
Dr.-Ing. Dimitrios Makridis Prof. Dr.-Ing. Ralf Müller |
| Language | English |
| Term | Summer |
| Credit points | 6 |
| Examination | Oral exam |
Contents
- constraints, generalized coordinates
- virtual displacements, the principles of d'Alembert and Jourdain
- Lagrange equations of 1st and 2nd order
- Generalized potentials, Lagrange formalism with friction
- cyclic coordinates, canonical momentum
- Elements of calculus of variations, Hamilton's principle
- Legendre transformations, Hamiltonic equations
- Poisson brackets, canonical transformations
- Hamilton-Jacobi theory
- Transition to wave mechanics
Literature
- F. Kuypers: Klassische Mechanik, Wiley-VCH Verlag, 2016
- W. Nolting: Grundkurs Theoretische Physik 2: Analytische Mechanik, Springer Verlag, 2014
- W. Greiner: Klassische Mechanik II, Verlag Harri Deutsch, 2008
- H. Goldstein: Classical Mechanics, Pearson Verlag, 2013
- Further literature will be announced at the beginning of the course.
Remarks
Group exercise
The exercise sessions are integrated into the lecture. Each session is scheduled individually to align with the lecture content and will be announced as early as possible.