Group Theory In Particle Physics
Physics
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Group Theory In Particle Physics | FIZ519 | Elective | Master's degree | 1 | Fall | 7 |
Name of Lecturer(s)
Associate Prof. Dr. Oktay CEBECİOĞLU
Learning Outcomes of the Course Unit
1) At the end of the course,students will learn to use Group Theory in particle physics.
2) Students also acquire the elements of the theory of Lie groups and their representations,
3) Students use Young tableaux, Clebsch-Gordan decomposition and Wigner-Eckart theorem in calculations
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
| Learning Outcomes | ||||||||||
| 1 | Low | Middle | High | High | Middle | High | Middle | High | High | |
| 2 | Low | Middle | No relation | Middle | Low | Middle | High | Low | High | |
| 3 | High | Low | Middle | Low | Middle | Middle | High | High | Middle | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
yok
Course Contents
Definition of a group and its properties. Representations of a group. Group characters and reducible representations. Lie groups. Lineer groups in N-dimensional space. Galilei group. Lorentz and Poincare groups and space-time symmetry. Discrete symmetries (C,P,T). The SU(N) group. The permutation group and Young tableaux. The U(1) group and quantum electrodynamics. The SU(2) and quarks. The SU(3) group and quantum chromodynamics. Dynamical symmetries.
Weekly Schedule
1) Definition of a group and its properties2) Representations of a group
3) Group characters and reducible representations
4) Lie groups
5) Lineer groups in N-dimensional space
6) Galilei group
7) Lorentz and Poincare groups and space-time symmetry
8) Discrete symmetries (C,P,T)
9) The SU(N) group
10) The permutation group and Young tableaux
11) The U(1) group and quantum electrodynamics
12) The SU(2) and quarks
13) The SU(3) group and quantum chromodynamics
14) Dynamical symmetries
15) Dynamical symmetries
16) Dynamical symmetries
Recommended or Required Reading
1- Groups, Representations and physics, H.F.Jones, IOP Publishing Ltd. 1996
2- Group Theory and it’s aplication to physical problems, M.Hamermesh, Dover Publications, 1962
3- Group Theory and Physics, S.Sternberg Cambridge university pres, 1994
4- Group Theory in Physics, Wu-Ki Tung, World Scientific Publishing , 1985
5- Quantum Mechanics-Symmetries, W.Greiner,B.Muller, Springer Verlag, 1994
Planned Learning Activities and Teaching Methods
1) Lecture
2) Discussion
3) Group Study
4) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
30% |
|---|---|
Contribution of Final Examination to Course Grade |
70% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required