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Information
| Code | FK607 |
| Name | Low Dimensional Quantum Systems I |
| 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 and its time independent form, Quantum well and energy levles of a constrained particle, Density of states in one, two and three dimensions, Bloch's theorem and its applications, The motion of an electron inside a crystal, Semi-classical equations, effective mass, The dispersion relation for optic and acoustic phonons, Heterjunctions and their fabrication, Doping of heterojunctions and band structure, Schrödinger's equation for two dimensional systems, Solution of Schrödinger equation for square, triangular and parabolic wells, Schrödinger's equation for zero and one dimensional systems, Solution of Scrödinger's equation for one dimensional systems, Solution of Scrödinger's equation for zero dimensional systems.
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 Schrödinger's equation. |
| LO02 | Understands quantum wells and constrained particle concepts. |
| LO03 | Understands the density of states in various dimensions. |
| LO04 | Understands Bloch's theorem. |
| LO05 | Understands the dispersion relation for acoustic and optic phonons. |
| LO06 | Understands how to erite and solve Schrödiner's equation in two or lower dimensions. |
| LO07 | Understands the fabrication of heterostructures. |
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. | 3 |
| 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 and its time independent form | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 2 | Quantum well and energy levles of a constrained particle | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 3 | Density of states in one, two and three dimensions | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 4 | Bloch's theorem and its applications | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 5 | The motion of an electron inside a crystal | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 6 | Semi-classical equations, effective mass | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 7 | The dispersion relation for optic and acoustic phonons. | 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 | Heterjunctions and their fabrication | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 10 | Doping of heterojunctions and band structure | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 11 | Schrödinger's equation for two dimensional systems | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 12 | Solution of Schrödinger equation for square, triangular and parabolic wells | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 13 | Schrödinger's equation for zero and one dimensional systems | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 14 | Solution of Scrödinger's equation for one dimensional systems | Study the relevant section in textbook/lecture notes. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
| 15 | Solution of Scrödinger's equation for zero dimensional systems | 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 | ||