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Cursus: NWI-NM101B
NWI-NM101B
Lie Algebras in Particle Physics
Cursus informatieRooster
CursusNWI-NM101B
Studiepunten (ECTS)3
CategorieMA (Master)
VoertaalEngels
Aangeboden doorRadboud Universiteit; Faculteit der Natuurwetenschappen, Wiskunde en Informatica; Wiskunde, Natuur- en Sterrenkunde;
Docenten
Coördinator
dr. F.S. Saueressig
Overige cursussen docent
Docent
dr. F.S. Saueressig
Overige cursussen docent
Contactpersoon van de cursus
dr. F.S. Saueressig
Overige cursussen docent
Collegejaar2016
Periode
KW3  (30-01-2017 t/m 09-04-2017)
Aanvangsblok
KW3
Onderwijsvorm
voltijd
Opmerking-
Inschrijven via OSIRISJa
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
Plaatsingsprocedure-
Cursusdoelen
  • The student understands the structure of Lie groups and Lie algebras
  • The student knows the classification of semi-simple Lie groups
  • The student is familiar with concepts like root lattices and Dynkin diagrams
  • The student knows the commonly used representations of su(n), so(n), etc
  • The student has acquired competence in applying group theory methods to physics problems in mechanics, quantum mechanics and particle physics
  • The student has acquired the group theoretical background underlying grand unified and supersymmetric particle physics models
Inhoud
Symmetries and group theoretical methods play an important role in many areas of physics, e.g., when constructing conserved quantities of a given physical system. In this course we discuss the corresponding mathematical background, studying Lie groups, Lie algebras and their representations. The examples will cover the Heisenberg algebra su(2), su(n) and the orthogonal algebra so(n). We discuss the physical relevance of these algebras with an emphasis on particle physics applications.
The course is aimed at students in both physics and mathematics, and standard for students in mathematical physics. The covered material is relevant for most courses in theoretical high-energy physics, in particular for “Quantum Field Theory”, “Particle Physics Phenomenology”, “Theoretical Foundations of Elementary Particles” and “Introduction to String Theory”.
Bijzonderheden
The course will be taught in English.
Toetsinformatie
Credits will be awarded based on the successful participation in the exercises (30%) and a written exam (70%)
Voorkennis
Classical and quantum mechanics. A background in discrete groups is recommended.
Literatuur
While it is not strictly necessary to buy a textbook for this course, the following books are ighly recommended:

• Wu-Ki Tung, Group theory in Physics, World Scientific Publication, 1985
• H. Georgi, Lie Algebras in Particle Physics, Westview Press, 1999
Lecture notes will be available via blackboard.
Werkvormen

• 16 hours lecture
• 16 hours problem session
• 52 hours individual study period
Verplicht materiaal
Dictaat
Lecture notes will be available via blackboard.
Aanbevolen materiaal
Boek
Wu-Ki Tung, Group theory in Physics, World Scientific Publication, 1985
Boek
H. Georgi, Lie Algebras in Particle Physics, Westview Press, 1999
Werkvormen
Cursus

Hoorcollege

Werkcollege

Toetsen
Tentamen
Weging1
GelegenhedenBlok KW3, Blok KW4

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