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 |