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Relativistic quantum mechanics and group theory methods in elementary particle physics

ВК 5

Вибіркова дисципліна для ОП

First

2023/2024

6 Semester

3

To know the mathematical apparatus of relativistic quantum physics Know the basics of the Feynman diagram technique Know the basic principles and methods of group theory Know the basics of the continuous integral method To be able to solve typical problems of relativistic quantum mechanics Be able to apply the mathematical apparatus of relativistic quantum mechanics to describe the state of the system and calculate observables Be able to calculate the scattering cross sections of the main processes of quantum electrodynamics To be able to use the methods of group theory in the analysis of conservation laws and reaction types To be able to apply the methods of the continuous integral in the relativistic quantum field theory

Full-time form

1. Know the basic laws and concepts from the courses of general physics, statistical physics and the basics of non-relativistic quantum mechanics and special relativity. 2. To be able to apply previously acquired knowledge from the courses of mathematical analysis, differential equations, mathematical physics, general physics, quantum mechanics to solve practical problems from the course, calculate Feynman diagrams and apply the continuous integral method to calculate quantum field propagators and the scattering matrix. 3. To have the skills of finding and studying specialized literature, solving algebraic and differential equations, constructing and analyzing graphic dependencies.

Module 1. Discrete groups Module 2. Continuous groups Module 3. Continuous integral method

1. Барабаш О.В. Лекції з релятивістської квантової механіки. – Київ, 2012. 2. Chaichian M., Demichev A. Path Integral in Physics. Volume 1. Stochstic Processes and Quantum Mechanics. – Bristol: Institute of Physics Publishing, 2001. 3. Kleinert H., Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets. – Sigapore: World Scientific, 2009.

• Lectures • Practical training • Individual work

• control works • thematic control of independent work • examination paper

Ukrainian