FK607 Low Dimensional Quantum Systems I

6 ECTS - 3-0 Duration (T+A)- . Semester- 3 National Credit

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

Update Time: 09.05.2024 12:17