CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Theoretical Physics 1

Code Completion Credits Range
BV002TF1 Z,ZK 4 3P+1C
Garant předmětu:
Petr Kulhánek
Lecturer:
Antonín Krpenský, Petr Kulhánek
Tutor:
Antonín Krpenský, Petr Kulhánek
Supervisor:
Department of Physics
Synopsis:

The lecture Theoretical Physics 1 is a basis for the following lectures of theoretical physics for the doctoral study. The main aim is theoretical Mechanics - to master the description of motion in curvilinear coordinates.

Requirements:

none, first lecture of four-part cyclus

Syllabus of lectures:

1.Generalized coordinates and momenta. State of the system, configuration space.

2.Equations of motion: Hamilton's variational principle, Lagrange equations.

3.Conservation laws in nature: generalized momentum, generalized energy, phase space.

4.Hamilton's canonical equations, Hamilton's function.

5.Poisson formulation of the equations of motion. Poisson equations. Lie algebra.

6.Nonlinear dynamical systems: Solutions of the ordinary differentially equations.

7.Bifurcation. Equation stability and phase space portrait. Ljapunov stability.

8.Attractors. Strange attractors.

9.Chaotic sets, deterministic chaos.

10.Numerical methods.

11.Charged particles motion, drift theory, adiabatic invariants.

12.Magnetic mirrors, tokamaks, stelarators.

13.Particle motion in the magnetic dipole,

14.Particle motion in the Earth magnetic field.

Syllabus of tutorials:

generalized coordinates

Lagrange equations, examples

Hamilton equations, examples,

Poisson equations, examples,

conservation laws,

evolution equations

stability and instability

attractors

solutions of various types of equations

method of potential

difference schemes

motion of charged particles

Study Objective:
Study materials:

[1] P. Kulhánek: Teoretická mechanika, ČVUT, 2001. http://www.aldebaran.cz/studium/mechanika.pdf

[2] E. M. Lifshitz, L. D. Landau: Course of Theoretical Physics: Mechanics, Pergamon Press, 2003

Note:
Time-table for winter semester 2024/2025:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomT2:C3-337Kulhánek P.Krpenský A.09:15–11:45(lecture parallel1)DejviceT2:C3-337roomT2:C3-337Kulhánek P.Krpenský A.11:45–12:30(lecture parallel1parallel nr.101)DejviceT2:C3-337
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-16
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet5849106.html