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| FIZ3003 | Quantum Mechanics I | 4+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of PHYSICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Mehmet DEMİRCİ | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The fundamental objective of this course is to teach the basic postulates and mathematical formalism of quantum mechanics (Schrödinger equation, operators, wave function) by discussing the limitations of classical physics and wave-particle duality; and to equip students with skills in quantum mechanical analysis and physical interpretation by applying these concepts to one-dimensional potential problems and the Hydrogen atom. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Analyze physical problems that classical physics fails to explain, using the fundamental principles of quantum mechanics. | 1 - 2 | 1, | | LO - 2 : | Discuss the wave-particle duality of matter particles through the double-slit experiment. | 1 - 2 | 1, | | LO - 3 : | Relate the wave packet concept to the Heisenberg uncertainty principle. | 1 - 2 | 1, | | LO - 4 : | Define the structure and fundamental properties of the wave function, which represents a specific particle and serves as the solution to the Schrödinger wave equation. | 1 - 2 | 1, | | LO - 5 : | Define the concepts of operators, commutators, expectation values, probability density, and probability flux, and perform calculations related to them. | 1 - 2 | 1, | | LO - 6 : | Solve the time-independent Schrödinger wave equation for one-dimensional potentials. | 1 - 2 | 1, | | LO - 7 : | Write the Schrödinger wave equation for the Hydrogen atom and identify the fundamental quantum numbers within the wave function. | 1 - 2 | 1, | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Principles of quantum mechanics, energy levels, photons, matter waves, uncertainty principle and theory of measurements. Schrödinger wave equation and its application in one dimensional potential problems, stationary states concepts. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Historical Development: Blackbody Radiation, Photoelectric Effect, Compton Scattering | | | Week 2 | Rutherford Atomic Model and Bohr Theory | | | Week 3 | Matter and Waves: Wave-particle duality and wave packet | | | Week 4 | Fourier Series and Integral, Uncertainty Principle | | | Week 5 | Operator concept and Schrödinger wave equation | | | Week 6 | Probabilistic Interpretation of the Wave Function and Expectation Value | | | Week 7 | Time-independent Schrödinger wave equation | | | Week 8 | Free particle-plane wave solution, normalization of plane waves | | | Week 9 | midterm exam | | | Week 10 | One-dimensional systems: Step potential | | | Week 11 | Potential barrier, tunneling effect | | | Week 12 | Infinite potential well, Bound and Scattering states, Square well potential | | | Week 13 | Quantum harmonic oscilator | | | Week 14 | Superposition principle and measurement | | | Week 15 | Three-dimensional systems: Infinite spherical potential, Schrödinger wave equation for the Hydrogen atom | | | Week 16 | Final exam | | | |
| 1 | David J. Griffiths, Kuantum Mekaniğine Giriş (Introduction to Quantum Mechanics), Çeviri: Nobel Akademik Yayıncılık | | | 2 | Feynman Fizik Dersleri/Yeni Milenyum Basım III.Cilt: Kuantum Mekaniği (Feynman, R. P., Leighton, R. B. ve Sands, M.), Çeviri: Alfa Basım Yayım | | | 3 | Bekir Karaoğlu, Kuantum Mekaniğine Giriş, Seçkin Yayıncılık | | | |
| 1 | Richard L. Liboff, Introductory Quantum Mechanics, Addison-Wesley Publishing Company | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 11/2025 | 2 | 50 | | End-of-term exam | 16 | 01/2026 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 4 | 14 | 56 | | Sınıf dışı çalışma | 2 | 14 | 28 | | Arasınav için hazırlık | 4 | 8 | 32 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 4 | 6 | 24 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 2 | 5 | 10 | | Total work load | | | 154 |
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