Analytical Mechanics
Code  Completion  Credits  Range 

02ANM  Z,ZK  4  2P+2C 
 Garant předmětu:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Physics
 Synopsis:

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 HamiltonJacobi equations). The efficiency of these methods is illustrated on elementary examples like the twobody 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.
 Requirements:

02MECHZ
 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. HamiltonJacobi equation
 Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture.
 Study Objective:

Knowledge:
Learn the basics of analytical mechanics, Lagrange and Hamilton formalism.
Skills:
Solving problems in mechanics with Lagrange and Hamilton formalism
 Study materials:

Key references:
[1] L.D. Landau, E.M. Lifšic, Course of Theoretical Physics, Elsevier, 2013
[2] F. Strocchi, A Primer of Analytical Mechanics, Springer International, New York 2018
Recommended references:
[3] G. Joos, I. Freeman: Theoretical Physics, Courier Corp. 2013.
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: