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Linköping Institute of Technology

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Valid for year : 2003
 
NFYC73 Analytical Mechanics, 7,5 ECTS credits.
/Analytisk mekanik/

For:   Fys  

  Area of Education: Science

Subject area: Physics

  Advancement level (A-D): C

Aim:
The course represent the basic principles of classical mechanics within the framework of the variational approach. The knowledge of these principles is necessary for a deeper penetration into the structure of the classical mechanics itself, and ofr a proper understanding of subsequent courses such as themodynamics and statistical mechanics, quantum mechanics etc. Furthermore, the metoders of the analytical mechanics can serve as a set of the efficient tools for the solution of the majority of hard problems of mechanics and related topics.

Prerequisites: (valid for students admitted to programmes within which the course is offered)
Participation in NFYA31 Mechanics, NFYB43 Atomic and Nuclear Physics, NFYC51 Mathematical methods of Physics, part I.

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
NFYD65 Quantum Dynamics and NFYD73 Theory of Relativity.

Organisation:
The course contains seminars and solution of problems in connection with the seminars.

Course contents:
Variational approach to mechanics. Hamilton's principle. Lagrange's equations. First intergrals and conservation theorems. Elimination of cyclic variables. Jacobi's principle. Theory of small oscillations. Cnetral force problem. Hamiltonian formulation of mechanics. Canonical transformations. Hamilton-Jacobi theory. Introduction to analytical mechanics of continous systems.

Course literature:
Goldstein, H.: Classical Mechanics Addision & Wesley, 1980 (selected parts).

Examination:
A written examination with questions in theory and solution of problems
Written examination or hand-in exercises
3 p
2 p
 



Course language is English.
Department offering the course: IFM.
Director of Studies: Magnus Boman
Examiner: Irina Yakymenko
Link to the course homepage at the department


Course Syllabus in Swedish

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Contact: TFK , val@tfk.liu.se
Last updated: 12/02/2002