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Course module: NWI-NM101B
NWI-NM101B
Lie Algebras in Particle Physics
Course infoSchedule
Course moduleNWI-NM101B
Credits (ECTS)3
CategoryMA (Master)
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
Coordinator
dr. T.G. Budd
Other course modules lecturer
Lecturer
dr. T.G. Budd
Other course modules lecturer
Contactperson for the course
dr. T.G. Budd
Other course modules lecturer
Examiner
dr. T.G. Budd
Other course modules lecturer
Academic year2020
Period
KW4  (05/04/2021 to 31/08/2021)
Starting block
KW4
Course mode
full-time
Remarks-
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
  • The student understands the structure of finite groups and their representations
  • The student understands the structure of Lie groups and their relation to Lie algebras
  • The student knows the representations of su(2) and su(3) and their applications in physics
  • The student is familiar with concepts like the adjoint representation, root systems and Dynkin diagrams
  • The student knows the classification of compact Lie algebras
  • The student has acquired competence in applying group theoretical methods to problems in quantum mechanics and particle physics
Content
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 mathematical background, studying finite groups, Lie groups, Lie algebras and their representations. We will cover the classification of compact Lie algebras including the important examples of su(n) and so(n). We discuss the physical relevance of these algebras and their representations with an emphasis on particle physics applications. The course is suited for students in both physics and mathematics, and is highly recommended for those interested in theoretical high-energy physics (both on the particle physics and gravitational side). The covered material is relevant for many courses in theoretical high-energy physics, including “Quantum Field Theory”, “Theoretical Foundations of Elementary Particles” and “Quantum Gravity”.
Level

Presumed foreknowledge
Classical and quantum mechanics.
Test information
Written exam 
Specifics
The course will be taught in English.
Required materials
Reader
A complete set of lecture notes and exercises will be available via Brightspace.
Recommended materials
Book
Wu-Ki Tung, Group theory in Physics, World Scientific Publication, 1985
Book
H. Georgi, Lie Algebras in Particle Physics, Westview Press, 1999
Instructional modes
Course

Lecture

Tutorial

Tests
Exam
Test weight1
Test typeExam
OpportunitiesBlock KW4, Block KW4

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Kies de Nederlandse taal