Lie groups in Physics

Faculteit Science and Engineering
Jaar 2019/20
Vakcode WMPH13010
Vaknaam Lie groups in Physics
Niveau(s) master
Voertaal Engels
Periode semester I a

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 After a very brief introduction about groups and representations of groups, a general overview of the properties of Lie groups and Lie algebras will be given. This will first focus on the compact Lie groups SO(N) and SU(N), and subsequently on 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: Lie groups, Lie algebras, the exponential map, irreducible representations, the adjoint representation, Casimir operators, universal covering groups, Young tableaux, and more advanced aspects of Lie algebras and their representations, such as root systems, the Weyl group, the classification of semi-simple Lie algebras, Dynkin diagrams, and weights.
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
Titel Auteur ISBN Prijs
Groups, representations, and physics (second edition) H. F. Jones
Lie Groups in Physics - Lecture Notes D. Boer
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 re-exam, an oral exam can be decided upon.
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