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 
Programme of Study: UPS of School of Physics (2012today)
Registered students: 217
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Basic Election  8  4  5 
Academic Year  2019 – 2020 
Class Period  Spring 
Faculty Instructors 

Weekly Hours  3 
Class ID  600159966

Course Type 20162020
 Scientific Area
Course Type 20112015
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600159966
 At the Website of the School:
 Other: www.efimeletlidou.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 HamiltonJacobi, Integrable systems, Lax pairs. Actionangle variables, canonical theory of perturbation, small divisors, K.A.M. theorem. Poincare map, PoincareBirkhoff 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  1.3  
Reading Assigment  108  3.6  
Exams  3  0.1  
Total  150  5 
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
16032020