Course Name Code Semester T+U Hours Credit ECTS
Group Theory For Physicists I FIZ 612 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 give an idea about group theory and its relation with particle physics
Course Content Group, subgroup, isomorphism, homomorphism, representations of group, Lie group, Lie algebra, orthogonal and rotation groups, SU(N) and particle physics
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Defines the concept of group by giving examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
2 Expresses group representations Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
3 Defines the concept of Lie group by giving examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
4 Explains the concept of the group isomorphism and group homomorphism in the light of various examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
5 Defines the concept of Lie algebra by giving examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
6 Introduces the relation between the group theory and particle physics Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Symmetry, Quantum Mechanics, Group Theory [1] Sayfa 1-11
2 Definition of Group and Simple Examples [1] Sayfa 12-26
3 Group Representations, Irreducible Representations [1] Sayfa 27-52
4 General Properties of Irreducible Vectors and Operators, Wigner-Eckart Theorem [1] Sayfa 54-62
5 Representations of The Symmetric Groups, Young Diagrams [1] Sayfa 64-78
6 SO(2) Rotation Group, The Generator and Irreducible Representation of SO(2) [1] Sayfa 80-89
7 SO(3) Group, Euler Angles, SO(3) Lie Algebra [1] Sayfa 94-102
8 The Irreducible Representations of SO(3) Lie Algebra, Casimir Operator [1] Sayfa 102-109
9 Midterm Exam
10 Particle in Central Potential, Transformation Properties of Wave Functions and Operators [1] Sayfa 109-123
11 SU(2) Group and Particle Physics [2] Sayfa 140-149
12 SU(3) Group and Particle Physics [2] Sayfa 149-158
13 Discrete Symmetries [3] Sayfa 205-218
14 CP and CPT [3] Sayfa 218-234
Resources
Course Notes [1] Tung Wu-Ki, Group Theory in Physics, World Scientific Publishing Co. Pte. Ltd., 1985<br>[2] Jones H.F., Groups, Representations and Physics, CRC Press, 1998<br>[3] Rolnick W.B.,The Fundamental Particles and Their Interactions, Addison-Wesley Publishing Company, 1994
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Using the knowledge of graduate and postgraduate education in postgraduate level. X
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
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 15 15
Quiz 2 5 10
Assignment 1 10 10
Final examination 1 20 20
Total Workload 151
Total Workload / 25 (Hours) 6.04
dersAKTSKredisi 6