Theoretical Physics 1

Garant předmětu:

Igor Jex

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:

• BS Matematické inženýrství - Matematické modelování (compulsory course of the specialization, elective course)
• BS Matematické inženýrství - Matematická fyzika (compulsory course of the specialization, elective course)
• BS Matematické inženýrství - Aplikované matematicko-stochastické metody (compulsory course of the specialization, elective course)
• BS Matematická informatika (elective course)
• BS Informatická fyzika (compulsory course of the specialization, elective course)
• BS Aplikace softwarového inženýrství (elective course)
• BS Aplikovaná informatika (elective course)
• BS jaderné inženýrství B (compulsory course of the specialization, elective course)
• BS Jaderné inženýrství C (elective course)
• BS Dozimetrie a aplikace ionizujícího záření (compulsory course of the specialization, elective course)
• BS Experimentální jaderná a částicová fyzika (compulsory course of the specialization, elective course)
• BS Radiologická technika (elective course)
• BS Inženýrství pevných látek (compulsory course of the specialization, elective course)
• BS Diagnostika materiálů (compulsory course of the specialization, elective course)
• BS Fyzika a technika termojaderné fúze (compulsory course of the specialization, elective course)
• BS Fyzikální elektronika (compulsory course of the specialization, elective course)
• Bc Laser Technology and Instrumentation (elective course)
• BS Fyzikální technika (elective course)
• BS Jaderná chemie (elective course)