| TFYA40 | Analytical Mechanics, 6 ECTS credits. /Analytisk mekanik/ |
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Prel. scheduled
hours: 46 |
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Area of Education: Science Main field of studies: Physics, Applied Physics, Mathematics, Applied Mathematics |
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| Advancement level
(G1, G2, A): A
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| Aim: The course represents 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 for a proper understanding of subsequent courses such as thermodynamics and statistical mechanics, quantum mechanics etc. Furthermore, the methods 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.
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) Modern Physics, Mechanics 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. |
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| Supplementary courses: Quantum Mechanics can be followed in parallel, Quantum Dynamics |
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| Organisation: Lectures and seminars with the solution of problems |
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| Course contents: The variational approach to mechanics, Hamilton's principle, Lagrange's equations, first integrals and conservation theorems, elimination of cyclic variables, small oscillations, central force problem, Hamiltonian formulation of mechanics, canonical transformations, Hamilton-Jacobi theory, introduction to analytical mechanics of continuous systems. |
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| Course literature: H. Goldstein, Ch. Poole, J. Safko: Classical Mechanics, 3d edition (selected parts). Addison & Wesley, 2001. |
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| Examination: | |||
| A written examination with questions in theory and solution of problems (U,3,4,5) |
6 ECTS |
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Course language is English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Irina Yakymenko Link to the course homepage at the department Course Syllabus in Swedish |
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