Quantum Field Theory 1
Code  Completion  Credits  Range  Language 

02KTP1  Z,ZK  9  4+2  Czech 
 Lecturer:
 Petr Jizba (guarantor)
 Tutor:
 Václav Zatloukal, Petr Jizba (guarantor)
 Supervisor:
 Department of Physics
 Synopsis:

The equations of relativistic quantum mechanics. The Lagrange formalism in the classical field theory. Introduction to quantum field theory.
 Requirements:

02TEF2, 02KVAN, 02KVAN2
 Syllabus of lectures:

1.Klein  Gordon equation.
2.Dirac equation.
3.Invariance of Dirac equation under proper Lorentz transformations.
4.Solutions of Dirac equation for free particle.
5.Massless particles.
6.Dirac equation for particle in external spherically symetric field.
7.Energy spectrum of hydrogenlike atom.
8.Lagrange formalism for relativistic classical fields.
9.Symmetries and conservation laws. Noether's theorem.
10. Introduction to quantum field theory.
 Syllabus of tutorials:

Solving exercises on the following topics:
1.Klein  Gordon equation.
2.Dirac equation.
3.Invariance of Dirac equation under proper Lorentz transformations.
4.Solutions of Dirac equation for free particle.
5.Massless particles.
6.Dirac equation for particle in external spherically symetric field.
7.Energy spectrum of hydrogenlike atom.
8.Lagrange formalism for relativistic classical fields.
9.Symmetries and conservation laws. Noether's theorem.
10. Introduction to quantum field theory.
 Study Objective:

Knowledge:
Foundations of relativistic quantum mechanics and introduction to quantum field theory
Skills:
Solving simple tasks in relativistic quantum mechanics
 Study materials:

Key references:
[1] J. Formánkek: „Introduction to Relativistic Quantum Mechanics and Quantum Field Theory“ (in Czech), Karolinum, Praha 2000
Recommended references:
[2] S. Weinberg: The quantum theory of fields, Vol. 1, Cambridge University Press, Cambridge 1995
 Note:
 Timetable for winter semester 2020/2021:
 Timetable is not available yet
 Timetable for summer semester 2020/2021:
 Timetable is not available yet
 The course is a part of the following study plans:

 Matematická fyzika (compulsory course of the specialization)