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Information
| Code | FK012 |
| Name | Quantum Mechanics 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 | Prof. Dr. AYSUN AKYÜZ |
Course Goal / Objective
To learn the physical principles and mathematical formalism of quantum theory
Course Content
Basic Assumptions of Quantum Mechanics, Time-independent Schrödinger Equation, Harmonic Oscillator, Orbital Angular Momentum in Quantum Mechanics,Spherical Symmetrical Potentials and Hydrogen Atom, Matrix Formulation of Quantum Mechanics and Spin, Addition of Angular Momenta
Course Precondition
none
Resources
Modern Kuantum Mekaniği, J. J. Sakurai, Jim Napolitano, Introduction to Quantum Mechanics D. Griffiths
Notes
Kuantum Mekaniği Temel Kavramlar ve Uygulamaları | Türkiye Bilimler Akademisi
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To be familiar with the main aspects of the historical development of quantum mechanics. |
| LO02 | Interprets experiments that reveal the wave properties of matter |
| LO03 | Understands the basic principles in quantum mechanics, such as the Schrödinger equation, the wave function and its statistical interpretation, the uncertainty principle, etc |
| LO04 | Solve the Schrödinger equation analytically for one or three dimensional simple systems or using powerful numerical methods |
| LO05 | Explain the physical properties of elementary particles, nucleons, atoms based on quantum mechanics |
| LO06 | Analyzes Wave Theory, Probability theory and its applications |
| LO07 | Gains the ability to apply Physics and Mathematics knowledge |
| LO08 | Improves the ability to design experiments and analyze experimental results |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has sufficient infrastructure in various subjects of Physics. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Demonstrate the knowledge of appropriate mathematical techniques used in physics. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Interpret observational and experimental results. | 3 |
| 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. | 2 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Provides solutions to the problems encountered in the physics field applying research methods. | 2 |
| PLO10 | Bilgi - Kuramsal, Olgusal | Can perform an independent research. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Can perform group work effectively in a research or industrial projects. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Becomes conscious of the necessity of lifelong learning. | 2 |
| 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. | 2 |
| PLO15 | Bilgi - Kuramsal, Olgusal | Can make an effective written or oral presentation of the results obtained in a study. | 2 |
| 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. | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Why Quantum Mechanics is necessary | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Basic Assumptions of Quantum Mechanics: Schrödinger Equations | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Energy eigenvalue equations in one dimension: infinite potential well | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Energy eigenvalue equations in one dimension: finite potential well | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 5 | Quantum Tunneling and its applications | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Harmonic oscillator : Energy eigenvalue and eigenfunctions | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 7 | Creation and annihilation operators for harmonic oscillator | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | topics should be repeated | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Orbital Angular Momentum Operators | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | Spherical harmonics, Legendre polynomials and parity operator | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım |
| 11 | Schrödinger equation in spherical coordinates | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Radial equation solution for hydrogen atom and energy eigenvalues | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım |
| 13 | Matrix formulation of quantum mechanics | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 14 | Spin angular momentum, Stern-Gerlach experiment | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Gösteri |
| 15 | Addition of angular momenta | Study the relevant chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | topics should be repeated | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | topics should be repeated | Ölçme Yöntemleri: Performans Değerlendirmesi |
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 | 1 | 2 | 2 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 15 | 15 |
| Final Exam | 1 | 30 | 30 |
| Total Workload (Hour) | 159 | ||
| Total Workload / 25 (h) | 6,36 | ||
| ECTS | 6 ECTS | ||