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Course, academic year 2023/2024
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Theory of groups and algebras in particle physics - NJSF142
Title: Teorie grup a algeber v částicové fyzice
Guaranteed by: Institute of Particle and Nuclear Physics (32-UCJF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2015
Semester: summer
E-Credits: 4
Hours per week, examination: summer s.:2/1, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Karol Kampf, Ph.D.
Annotation -
Last update: doc. Mgr. Milan Krtička, Ph.D. (29.04.2019)
We will review basic properties of group theory with focus on Lie groups and algebras and their representations. The use of these knowledge will be future develop for the needs of particle physics. The course is recommended for the 1st or 2nd year of the Theoretical Physics and Particle and Nuclear Physics studies.
Course completion requirements - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Složení ústní zkoušky.

Literature -
Last update: T_UCJF (14.05.2013)

Steven Weinberg: The Quantum Theory of Fields vol. I a vol. II, 1996

Luboš Motl, Miloš Zahradník: Pěstujeme lineární algebru, 1994

Howard Georgi: Lie Algebras in Particle Physics, 1982

Requirements to the exam - Czech
Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)

Požadavky ke zkoušce odpovídají sylabu předmětu v rozsahu prezentovaném na přednášce.

Syllabus -
Last update: T_UCJF (14.05.2013)

1. Basic definitions and properties

2. Lie groups and algebras, reprezentations SO(N), SU(N)

3. Lorentz group and algebra

4. Dynkin diagrams and clasification of simple Lie groups

5. Special Lie groups

 
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