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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023

Theoretical Physics 1

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Code Completion Credits Range Language
02TEF1 Z,ZK 4 2+2 Czech
Lecturer:
Petr Novotný
Tutor:
Petr Novotný, Filip Petrásek, Stanislav Skoupý
Supervisor:
Department of Physics
Synopsis:

The course is an introduction to analytical mechanics. The students acquire knowledge of the basic concepts of theLagrange formalism. The efficiency of this method is illustrated on elementary examples like the two-bodyproblem, the motion of a system of constrained mass points, and of a rigid body. Advanced parts of the coursecover differential and integral principles of mechanics. The subject is the first part of the course of classicaltheoretical physics (02TEF1, 02TEF2).

Requirements:

02MECHZ

Syllabus of lectures:

1. Mathematical formalism

2. Newtonian mechanics

3. The Lagrange function, constraints, generalised coordinates

4. Lagrange equations

5. Symmetries of the Lagrange function and conservation laws

6. Virial theorem

7. The two-body problem

8. Oscillations of systems of mass points

9. Dynamics of rigid bodies, Euler's equations

10. Static equilibrium, the principle of virtual displacements

11. Differential principles (d ́Alembert, Jourdain, Gauss, Hertz)

12. Integral principles of Hamilton, Maupertuis and Jacobi

Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture

Study Objective:

Knowledge:

Learn the basics of analytical mechanics. The subject belongs to the course of classical theoretical physics at FNSPE.

Skills:

Application of methods of theoretical physics to solve concrete examples

Study materials:

Key references:

[1] H. Goldstein, C. P. Poole, J. Safko: Classical Mechanics, Pearson Education; 3rd edition, 2011

[2] L.D. Landau, E.M. Lifšic, Course of Theoretical Physics, Elsevier, 2013

Recommended references:

[3] G. Joos, I. Freeman: Theoretical Physics, Courier Corp. 2013.

[4] A.S. Kompanayets, Theoretical Physics, Dover Publications, 2012

[5] J. R. Taylor: Classical Mechanics, University Science Books, 2005

Note:
Further information:
https://physics.fjfi.cvut.cz/studium/predmety/67-02tef1
Time-table for winter semester 2022/2023:
Time-table is not available yet
Time-table for summer semester 2022/2023:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2022-12-01
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet24688705.html