*Conducted in term:*2020/21_Z

*ECTS credits:*unknown

*Language:*Polish

*Related to study programmes:*

# Theoretical physics I WM-FI-401

1. Basic concepts of the mechanics of a material point. Constraints. D'Alembert's principle. Lagrange's equations of the first kind.

2. Generalized coordinates. Lagrangian, the principle of stationary action. Euler-Lagrange equations. Generalized momenta, generalized forces. Generalized potential.

3. Symmetries of the Lagrangian. Conservation laws. Noether's theorem. Cyclic coordinates.

4. Two-body system. Reduced mass. Motion in the field of a central force.

6. Kepler's laws. Equations of conical curves. Closed and open orbits.

7. Small oscillations. Normal modes. Forced and damped oscillations.

8. Coordinate transformations. Motion in a non-inetrial frame. Motion on the rotating Earth. The Coriolis' force

9. Motion of a rigid body. Moment of inertia tensor. Principal moments, moments of deviation.

10. Euler's angles. Motion of a symmetrical top. Physical pendulum.

11. Collisions. Cross-sections.

12. Space-time. Space-time interval. Lorentz transformations. Time dilation. Length contraction. Relativistic addition of velocities.

13. Lagrangian, energy and momentum of a relativistic particle. Charged relativistic particle in the electromagnetic field.

14. Phase space. Poisson's brackets. Hamilton's equations.

15.Canonical transformations. Liouville's theorem. The Hamilton-Jacobi's equation.

## (in Polish) E-Learning

## (in Polish) Grupa przedmiotów ogólnouczenianych

## Subject level

## Learning outcome code/codes

## Type of subject

## Course coordinators

## Learning outcomes

Explains the problems of classical mechanics and the relation to experimental physics.

Knows the theoretical and mathematical description of the laws of classical mechanics.

Formulates the problems of classical mechanics in a mathematical language.

Solves the problems of classical mechanics.

ECTS description:

Participation in the lecture: 30h

Preparation for classes: 42h

Preparation for verification: 8h

Consultations with the lecturer: 2h

## Assessment criteria

Written and oral exam. The solving of specific problems and knowledge of the theoretical side of the discussed issues is required.

## Bibliography

1. L. D. Landau i E. M. Lifszic, Krótki kurs fizyki teoretycznej. T.1. Wyd. III (PWN, Warszawa, 1980).

2. M. Kozielski i M. Kozielska, Wybrane zagadnienia z fizyki (Wyd. Politechniki Poznańskiej, Poznań, 1996).

3. L. D. Landau i E. M. Lifszic, Mechanika (PWN, Warszawa, 1961).

4. W. Rubinowicz i W. Królikowski, Mechanika teoretyczna (PWN, Warszawa, 1955).

5. W. S. Urbański, Mechanika teoretyczna. Wyd.II (PWN, Warszawa, 1970).

6. C. Kittel, W. D. Knight, i M. A. Ruderman, Mechanika (PWN, Warszawa,1969).

## Notes

Term 2020/21_Z:
General physics I, mathemtical analysis, algebra |

## Additional information

Information on *level* of this course, *year of study* and semester when the course
unit is delivered, types and amount of *class hours* - can be found in course structure
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