FK602 Low Dimensional Quantum Systems II

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

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

Update Time: 09.05.2024 12:17