Theoretical Physics 1

Relations:

In order to register for the course 02TEF1, the student must have successfully completed or received credit for and not exhausted all examination dates for the course 02MECHZ. The course 02TEF1 can be graded only after the course 02MECHZ has been successfully completed.

Course guarantor:

Igor Jex

Lecturer:

Petr Novotný

Tutor:

Michal Jex, 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 the Lagrange and Hamiltonian formalisms as well as diferent approaches to description of dynamics (Newtons, Lagrange, Hamilton and Hamilton-Jacobi equations). The efficiency of these methods is illustrated on elementary examples like the two-body problem, the motion of a system of constrained mass points, and of a rigid body. Advanced parts of the course cover differential and integral principles of mechanics. The subject is the first part of the course of classical theoretical physics (02TEF1, 02TEF2).

Requirements:

02MECHZ - Mechanics

Linear algebra

Syllabus of lectures:

1. Mathematical formalism

2. Newtonian mechanics

3. The Lagrange function, constraints, generalized coordinates

4. Lagrange equations

5. Symmetries of the Lagrange function and conservation laws

6. Static equilibrium, the principle of virtual displacements

7. Differential principles

8. Integral principles

9. Hamilton's formalism

10. Poisson bracket and conservation laws

11. Canonical transformations

12. Hamilton-Jacobi equation

Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture.

Study Objective:

Knowledge:

Learn the basics of analytical mechanics, Lagrange and Hamilton formalism. The subject belongs to the course of classical theoretical physics at FNSPE.

Skills:

Solving problems in mechanics with Lagrange and Hamilton formalism

Study materials:

Key references:

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

[2] L.N. Hand, J.D. Finch: Analytical mechanics, Cambridge University Press, 1998

[3] 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/index.php/cs/studium/predmety-na-kf/02tef12-teoreticka-fyzika-1-a-2

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
Mon	roomTR:207 Novotný P. 10:00–11:50 (lecture parallel2) Trojanova 13 roomTR:301 Novotný P. 16:00–17:50 (parallel nr.105) Trojanova 13
Tue	roomTR:204 Jex M. 08:00–09:50 (parallel nr.101) Trojanova 13 roomTR:101 Novotný P. 12:00–13:50 (lecture parallel1) Trojanova 13
Wed	roomTR:204 Petrásek F. 12:00–13:50 (parallel nr.108) Trojanova 13 roomBR:10 Novotný P. 14:00–15:50 (parallel nr.107) Břehová 7
Thu	roomTR:204 Novotný P. 14:00–15:50 (parallel nr.201) Trojanova 13
Fri	roomTR:205 Skoupý S. 14:00–15:50 (parallel nr.102) Trojanova 13

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Fyzikální inženýrství - Počítačová fyzika (PS)
• Aplikovaná algebra a analýza (compulsory course in the program)
• Aplikované matematicko-stochastické metody (compulsory course in the program)
• Jaderné inženýrství - Aplikovaná fyzika ionizujícího záření (PS)
• Fyzikální inženýrství - Fyzikální inženýrství materiálů (PS)
• Fyzikální inženýrství - Fyzika plazmatu a termojaderné fúze (PS)
• Fyzikální inženýrství - Inženýrství pevných látek (PS)
• Jaderná a částicová fyzika (compulsory course in the program)
• Jaderné inženýrství - Jaderné reaktory (PS)
• Fyzikální inženýrství - Laserová technika a fotonika (PS)
• Matematické inženýrství - Matematická fyzika (PS)
• Matematické inženýrství - Matematická informatika (elective course)
• Matematické inženýrství - Matematické modelování (PS)
• Kvantové technologie (compulsory course in the program)
• jaderné inženýrství - Radioaktivita v životním prostředí (elective course)
• Physical Engineering - Computational physics (PS)
• Quantum Technologies (compulsory course in the program)
• Nuclear and Particle Physics (compulsory course in the program)
• Physical Engineering - Physical Engineering od Materials (PS)
• Mathematical Engineering - Mathematical Physics (PS)
• Physical Engineering - Plasma Physics and Thermonuclear Fusion (PS)