Lie groups in Physics
Faculteit  Science and Engineering 
Jaar  2021/22 
Vakcode  WMPH01105 
Vaknaam  Lie groups in Physics 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Lie groups in Physics  
Leerdoelen  At the end of the course, the student is able to: 1.describe and demonstrate properties of Lie groups and their associated Lie algebras. 2.determine and compare Lie algebras and their irreducible representations. 

Omschrijving  This course is about the properties of Lie groups and Lie algebras and the applications in physics. After first discussing some general properties of Lie groups and Lie algebras, the lectures will focus on specific Lie groups of relevance to physics: the compact Lie groups SO(N) and SU(N), and the noncompact Lorentz and Poincaré groups. Applications in physics, especially in quantum mechanics and particle physics, will be given throughout the course. Specific subjects to be covered include: the exponential map, the adjoint representation, Young tableaux, and more advanced aspects of Lie algebras and their representations, such as root systems, the Weyl group, the classification of semisimple Lie algebras, Dynkin diagrams, weights and Casimir operators. Familiarity with groups and representations of groups will be assumed, but essentials will be recalled at various stages.  
Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Werkcollege (T)
(Lectures: 32 hours, Tutorials: 16 hours, Sel) 

Toetsvorm 
Mondeling tentamen (OR), Schriftelijk tentamen (WE)
(Final grade: written exam (100%), Oral exam. See remarks.) 

Vaksoort  master  
Coördinator  prof. dr. D. Boer  
Docent(en)  prof. dr. D. Boer  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from Quantum Physics 1, Quantum Physics 2, Mechanics and relativity. Prior knowledge from the 2nd year course Group Theory (Bachelor Mathematics) and/or the 3rd year course Symmetry in Physics (Bachelor Physics) is advisable.  
Opmerkingen  On the written exam the weighting of the questions is specified by means of a table. Answers are compared to a model of correct answers. The number of credit points is 5. The grade of the written exam determines whether the course is passed (grade 6 or higher) or not. In case of too few students, which more likely is relevant for the reexam, an oral exam can be decided upon. This course was registered last year with course code WMPH13010 

Opgenomen in 
