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Information
| Code | FK602 |
| Name | Low Dimensional Quantum Systems II |
| Term | 2024-2025 Academic Year |
| Semester | . Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Yüksek Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. BERRİN ÖZDEMİR |
Course Goal / Objective
To teach the basic properties of low dimensional quantum systems.
Course Content
Schrödinger's equation in the presence of electric and magnetic fields, Solution of Schrödinger's equation in two dimensions in the presence of a uniform electric field, The effect of magnetic field on the two dimensional electron gas and Solution of Schrödinger's equation, Time independent perturbation theory, Degenerate perturbation theory, Time dependent perturbation theory, Variational principle, Scattering and Fermi's Golden Rule, Impurity scattering, Optic phonon scattering, Electron-phonon interaction, Absorption in quantum wells, Remote impurity scattering in two dimensional electron gas, Scattering rates and Monte Carlo methods.
Course Precondition
none
Resources
The Physics of Low-dimensional Semiconductors: An Introduction, John H. Davies
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Understands how to write Schrödinger equation in the presence of electric and magnetic fields. |
| LO02 | Understands how to find the energy levles of an electron in uniform electric field. |
| LO03 | Understands how to write Schrödinger's equation in a two dimensional electron gas where a perpendicular magnetic field exists. |
| LO04 | Understands how to use approximation methods for probles that can be solved analytically. |
| LO05 | Understands Fermi's golden rule. |
| LO06 | Understands electron scattering in doped low dimensional systems. |
| LO07 | Understands the scattering from short range scatterers. |
| LO08 | Understands scattering from phonons. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has sufficient infrastructure in various subjects of Physics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Interpret observational and experimental results. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Makes use of the conceptual and practical knowledge acquired in the physics field at mastery level. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Has a knowledge about the logic of scientific research. | 3 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Report the solution of a physics problem, experimental results or projects in a written format or orally. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Chooses and uses the necessary publications, books and methods for a scientific research. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Accesses a knowledge about a subject in physics, does literature search and uses other sources for this purpose. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Provides solutions to the problems encountered in the physics field applying research methods. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Can perform an independent research. | 3 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Can perform group work effectively in a research or industrial projects. | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Becomes conscious of the necessity of lifelong learning. | 3 |
| PLO13 | Bilgi - Kuramsal, Olgusal | To keep track of the developments in physics and updates himself/herself invariably. | 3 |
| PLO14 | Bilgi - Kuramsal, Olgusal | Shares his/her ideas and suggestions for solutions to the physical problems with experts and non-experts by supporting them with quantitative and qualitative data. | 3 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Can make an effective written or oral presentation of the results obtained in a study. | 3 |
| PLO16 | Bilgi - Kuramsal, Olgusal | Makes use of the knowledge, problem solving and / or application skills acquired in the physics field in interdisciplinary studies. | 3 |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has a foundation necessary to work in a research and development organizations. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Schrödinger's equation in the presence of electric and magnetic fields | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 2 | Solution of Schrödinger's equation in two dimensions in the presence of a uniform electric field. | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 3 | The effect of magnetic field on the two dimensional electron gas and Solution of Schrödinger's equation | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 4 | Time independent perturbation theory | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 5 | Degenerate perturbation theory. | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 6 | Time dependent perturbation theory. | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 7 | Variational principle | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Scattering and Fermi's Golden Rule | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 10 | Impurity scattering | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 11 | Optic phonon scattering | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 12 | Electron-phonon interaction | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 13 | Absorption in quantum wells | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama |
| 14 | Remote impurity scattering in two dimensional electron gas | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 15 | Scattering rates and Monte Carlo methods | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 16 | Term Exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 5 | 70 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 157 | ||
| Total Workload / 25 (h) | 6,28 | ||
| ECTS | 6 ECTS | ||