Course Name Code Semester T+U Hours Credit ECTS
Group Theory For Physicists II FIZ 613 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level Doctorate Degree Course Type Optional Course Coordinator Doç.Dr. ALİ SERDAR ARIKAN Course Lecturers Course Assistants Course Category Field Proper Education Course Objective To examine the Lorentz and Poincare groups which have an important role in special theory of relativity and to give an idea about quantum groups which have a wide application area in the studies related with integrable systems Course Content Simple Lie Groups, Killing form, Dynkin diagrams,Exceptional Groups, Lorentz and Poincare groups, Gauge Transformations, Quantum Groups, Matrix Quantum Groups
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Draws the Dynkin diagram for a given group Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
2 Explains exceptional groups with examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
3 Writes Lorentz transformations and defines Lorentz Group Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
4 Explains the relation between U(1) and QED Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
5 Expresses Lie Algebra for Poincare Group Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
6 Explains the copncept of the quantum groups by various examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Simple Lie Groups, Killing Form [1] Sayfa 167-172
2 Properties of The Roots, Root Vectors [1] Sayfa 172-180
3 Dynkin Diagrams [1] Sayfa 180-188
4 Exceptional Groups [1] Sayfa 188-196
5 Lorentz transformations, Four Vector Notation, SO(3,1) Group [1] Sayfa 198-208
6 Poincare Group [1] Sayfa 208-216
7 Gauge Transformations [1] Sayfa 225-240
8 U(1) and QED, SU(3) and QCD [1] Sayfa 240-248
9 Midterm Exam
10 Quantum Groups [2] Sayfa 1-14
11 Unitary Quantum Groups [2] Sayfa 15-25
12 q-Boson Operators [2] Sayfa 25-43
13 q-numbers, q-functions [2] Sayfa 55-70
14 Matrix Quantum Groups, Quantum Plane [2] Sayfa 115-124
Resources
Course Notes [1] Jones H.F., Groups, Representations and Physics, CRC Press, 1998<br>[2] Biedenharn L.C., Lohe M.A., Quantum Group Symmetry and q-Tensor Algebras, World Scientific Publishing Co. Pte. Ltd., 1995
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
2 To be able to make literature search, presentation, experimental setup preparation, application and explication of results. X
3 To be able to join interdisciplinary and multidisciplinary team works. X
4 Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study.
5 To be able to prepare a scientific publication with the knowledges obtained from graduate and postgraduate studies.
6 Design and apply theoretical, experimental and model-based research; the ability to analyze and resolve complex problems that arise during this
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 30
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100