Hamiltonian Mechanics
| Title | ΧΑΜΙΛΤΟΝΙΑΝΗ ΜΗΧΑΝΙΚΗ / Hamiltonian Mechanics |
| Code | ΓΘΕ202 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Efthymia Meletlidou |
| Common | No |
| Status | Active |
| Course ID | 40003062 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600178547
|
Course Type 2016-2020
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600178547
- At the Website of the School:
- Other: www.efi-meletlidou.com
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
Learning Outcomes
With the conclusion of this course, the students will know how to apply and analyse a problem in mechanics. They will also aquire a general knowledge of some physical theories (e.g., the principle of least action).
General Competences
- Apply knowledge in practice
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Definition of Hamiltonian Mechanics(Hamilton’s equation, symplectic formalism, Poisson’s theorem). Canonical transformations (generating function, symplectic matrices). Infinitesimal canonical transformations (Hamiltonian vector field, infinitesimal symmetries and integrals of motion). Stability of equilibrium points Liouville’s theorem, Poincare’s theorem. The method of Hamilton-Jacobi, Integrable systems, Lax pairs. Action-angle variables, canonical theory of perturbation, small divisors, K.A.M. theorem. Poincare map, Poincare-Birkhoff theorem, chaotic motion in Hamiltonian systems.
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Description
email
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ||||
| Reading Assigment | 108 | ||||
| Exams | 3 | ||||
| Total | 150 |
Student Assessment
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- ΚΛΑΣΙΚΗ ΜΗΧΑΝΙΚΗ, Σ.Ν. ΠΝΕΥΜΑΤΙΚΟΣ, ΠΝΕΥΜΑΤΙΚΟΣ
- ΕΙΣΑΓΩΓΗ ΣΤΗ ΜΗΧΑΝΙΚΗ HAMILTON, ΣΙΜΟΣ ΙΧΤΙΑΡΟΓΛΟΥ, 2015, εκδόσεις iwrite
Last Update
16-03-2020
