Quantum field theory 1

Lecturer:

Jiří Hořejší (gar.), Jiří Formánek

Tutor:

Jiří Hořejší (gar.), Jiří Formánek

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 hydrogen-like 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 hydrogen-like 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:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: