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Lecturer(s)
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Kvita Jiří, Mgr. Ph.D.
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Černý Karel, RNDr. Ph.D.
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Course content
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The goal is to present the principles of the relativistic quantum mechanics and quantum field theory in application to scattering in high energy physics. 1. Review of relevant parts of the non-relativistic quantum mechanics, perturbation and scattering theory. 2. Symmetries: rotation and Lorentz groups. 3. Relativistic wave equation: Klein-Gordon equation and its solutions. 4. Dirac equation, free particle, non-relativistic limit. 5. Symmetries of the Dirac equation, projection operators to energy and spin eigenstates. 6. Particle in the electromagnetic field, Klein paradox. 7. Least action principle, classical motion, relativistic particle, EM field as infinite degree system. 8. Noether theorem, symmetries and conservation laws. 9. Quantization of the field: normal ordering, Fock space, scalar field, charge, antiparticles, time ordering, Green functions. 10. Quantization of the Dirac, EM and Proca fields. 11. Wick theorem, perturbative S-matrix expansion, Dyson series. 12. Application on the phi^4 theory, Feynman diagrams, Yukawa theory, decays. 13. Quantum electrodynamics, electron-positron annihilation to a muon-antimuon pair, Compton and bremsstrahlung processes. 14. Notion of the regularization and renormalization.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Work with Text (with Book, Textbook)
- Attendace
- 20 hours per semester
- Homework for Teaching
- 130 hours per semester
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Learning outcomes
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Students are assumed to master the topics described in the content of the subject.
The obtained knowledge is described and clearly defined in the content of the subject.
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Prerequisites
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The subject is oriented to gaining and improving knowledge.
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Assessment methods and criteria
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Mark
Research of the scientific literature, discussions about the studied topics.
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Recommended literature
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Weinberg S. The Quantum Theory of Fields, Volume 1: Foundations.
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Das, A. (2008). Lectures on Quantum Field Theory. World Scientific.
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Formánek, J. (2000). Úvod do relativistické kvantové mechaniky a kvantové teorie pole. Praha: Karolinum.
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Greiner W. Relativistic Quantum Mechanics.
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Itzykson C., Zuber J.-B. Quantum Field Theory.
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