Theoretical Physics 1
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 02TEF1 | Z,ZK | 4 | 2+2 | Czech |
- Vztahy:
- 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.
- Garant předmětu:
- Igor Jex
- Lecturer:
- Petr Novotný
- Tutor:
- Tereza Lehečková, 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 formalism as well as diferent approaches to description of dynamics (Newton’s, 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
- 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:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- 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 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 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)
- BS Jaderná chemie (elective course)
- 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)