| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Group Theory For Physıcısts II | FIZ 613 | 0 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Doktora |
| Dersin Türü | Seçmeli |
| Dersin Koordinatörü | Prof.Dr. BARIŞ TAMER TONGUÇ |
| Dersi Verenler | |
| Dersin Yardımcıları | |
| Dersin Kategorisi | Alanına Uygun Öğretim |
| Dersin Amacı | 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 |
| Dersin İçeriği | Simple Lie Groups, Killing form, Dynkin diagrams,Exceptional Groups, Lorentz and Poincare groups, Gauge Transformations, Quantum Groups, Matrix Quantum Groups |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 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, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 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 |
| Kaynaklar | |
|---|---|
| Ders Notu | [1] Jones H.F., Groups, Representations and Physics, CRC Press, 1998 [2] Biedenharn L.C., Lohe M.A., Quantum Group Symmetry and q-Tensor Algebras, World Scientific Publishing Co. Pte. Ltd., 1995 |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 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 | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 1. Ödev | 30 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| 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 |
| Toplam İş Yükü | 151 | ||
| Toplam İş Yükü / 25 (Saat) | 6,04 | ||
| Dersin AKTS Kredisi | 6 | ||