Hamiltonian Mechanics

Course Information
TitleΧΑΜΙΛΤΟΝΙΑΝΗ ΜΗΧΑΝΙΚΗ / Hamiltonian Mechanics
CodeΓΘΕ202
FacultySciences
SchoolPhysics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorEfthymia Meletlidou
CommonNo
StatusActive
Course ID40003062

Programme of Study: UPS of School of Physics (2012-today)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreBasic Election845

Class Information
Academic Year2017 – 2018
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
600100199
Type of the Course
  • Scientific Area
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is 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).
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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures1173.9
Reading Assigment301
Exams30.1
Total1505
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
10-06-2016