Theoretical Physics 1

Lecturer:

Igor Jex (gar.), Goce Chadzitaskos

Tutor:

Igor Jex (gar.), Jiří Hrivnák, Goce Chadzitaskos, Petr Novotný

Supervisor:

Department of Physics

Synopsis:

The course is an introduction to methods of theretical physics (nonrelativistic, classical). The course communicates basic concepts of the Lagrange formalism and the efficiency of the method illustrated on elementary examples like the two body problem, elastic scattering and the motion of rigid bodies. Advanced parts of the course cover differential and integral principles of mechanics. The course is a preparation for the course TEF2.

Requirements:

02MECH, 02ELMA

Syllabus of lectures:

1.Mathematical formalism

2.Newtonian mechanics

3.Lagrange function, constrains, generalised coordinates

4.Symmetries of the Lagrange function and conservation laws

5.Virial

6.Two body problem

7.Elastic scattering

8.Oscillations of coupled systems

9.Dynamics of rigid bodies

10.Classification of physical principles, the static equilibrium

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

12.Integral principles (Hamilton, Jacobi, Maupertius)

Syllabus of tutorials:

Solving exercises on the following topics:

1.Mathematical formalism

2.Newtonian mechanics

3.Lagrange function, constrains, generalised coordinates

4.Symmetries of the Lagrange function and conservation laws

5.Virial

6.Two body problem

7.Elastic scattering

8.Oscillations of coupled systems

9.Dynamics of rigid bodies

10.Classification of physical principles, the static equilibrium

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

12.Integral principles (Hamilton, Jacobi, Maupertius)

Study Objective:

Knowledge:

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

Skills:

Application of methods of theoretical phzsics to solve concrete examples

Study materials:

Key references:

[1]I.Štoll, J. Tolar, Theoretical Physics, ČVUT 2002 (in Czech)

Recommended references:

[1]V. Trkal, Mechanics of Mass Points and Solid Bodies, ČSAV Praha 1956 (in Czech)

[2]L.D. Landau, E.M. Lifšic, Teoreticeskaja fizika I, FIZMATGIZ Moskva, 2002 (in Russian)

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: