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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
Lecturer
dr. F.S. Saueressig
Other course modules lecturer
Academic year2017
Period
KW4  (16/04/2018 to 02/09/2018)
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 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
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 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”.
Literature
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.
Teaching formats

• 16 hours lecture
• 16 hours problem session
• 52 hours individual study period
Additional comments
The course will be taught in English.
Test information
Credits will be awarded based on the successful participation in the exercises (30%) and a written exam (70%)
Prerequisites
Classical and quantum mechanics. A background in discrete groups is recommended.
Required materials
Reader
A complete set of lecture notes, exercises, and their solutions will be available via blackboard.
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
Tentamen
Test weight1
OpportunitiesBlock KW4, Block KW4

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Kies de Nederlandse taal