- Garant předmětu:
- Department of Physics
The course is an introduction to analytical mechanics. The students acquire knowledge of the basic concepts of the Lagrange and Hamiltonian formalism as well as diferent approaches to description of dynamics (Newton’s, Lagrange, Hamilton and Hamilton-Jacobi equations). The efficiency of these methods is illustrated on elementary examples like the two-body problem, the motion of a system of constrained mass points, and of a rigid body. Advanced parts of the course cover differential and integral principles of mechanics.
- Syllabus of lectures:
1. Mathematical formalism
2. Newtonian mechanics
3. The Lagrange function, constraints, generalized coordinates 4. Lagrange equations
5. Symmetries of the Lagrange function and conservation laws 6. Static equilibrium, the principle of virtual displacements
7. Differential principles
8. Integral principles
9. Hamilton's formalism
10. Poisson bracket and conservation laws
11. Canonical transformations
12. Hamilton-Jacobi equation
- Syllabus of tutorials:
Solving problems to illustrate the theory from the lecture.
- Study Objective:
Learn the basics of analytical mechanics, Lagrange and Hamilton formalism.
Solving problems in mechanics with Lagrange and Hamilton formalism
- Study materials:
 L.D. Landau, E.M. Lifšic, Course of Theoretical Physics, Elsevier, 2013
 F. Strocchi, A Primer of Analytical Mechanics, Springer International, New York 2018
 G. Joos, I. Freeman: Theoretical Physics, Courier Corp. 2013.
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: