| NFYC73 |
Analytical Mechanics, 7,5 ECTS credits.
/Analytisk mekanik/
For:
Fys
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Prel. scheduled
hours: 64
Rec. self-study hours: 136
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Area of Education: Science
Subject area: Physics
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Advancement level
(G1, G2, A): A
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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 of 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.
To achieve this aim students should be able to
- formulate the Lagrangian function for different mechanical systems,
- solve and analyze Lagrange's equations of motion for the set of generalized coordinates,
- formulate the Hamiltonian function for different mechanical systems,
- solve Hamiltion's equations of motion for the canonical variables.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Participation in NFYA16 Mekanics I, NFYB17 Mekanics II
NFYC02 Quantum 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:
NFYD65 Quantum Dynamics and NFYD73 Theory of Relativity.
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Organisation:
The course contains 24 hours of lectures, 22 hours of regular seminars and 10 hours of additional seminars and solution of problems in connection with the seminars.
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Course contents:
Variational approach to mechanics. Hamilton's principle. Lagrange's equations. First intergrals and conservation theorems. Elimination of cyclic variables. Theory of small oscillations. Cnetral force problem. Hamiltonian formulation of mechanics. Canonical transformations. Hamilton-Jacobi theory. Introduction to analytical mechanics of continuous systems.
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Course literature:
Goldstein H., Poole Ch., Safko J.: Classical Mechanics Addision & Wesley, third edition, 2001 (selected parts).
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Examination: |
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A written examination with questions in theory and solution of problems Hand-in exercises |
3 p 2 p
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4,5 ECTS 3 ECTS
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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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