| 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 | ||