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| FIZ3030 | Quantum Mechanics II | 4+0+0 | ECTS:6 | | Year / Semester | Spring 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 general formalism and matrix mechanics of quantum mechanics by introducing Dirac (Bra-Ket) notation; to analyze harmonic oscillator and angular momentum problems using algebraic methods; and to demonstrate applied approximation methods such as perturbation and variation for spin concepts, identical particle systems, and physical problems without exact solutions. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Comprehend the properties of the general formalism of Quantum Mechanics. | 1 - 2 | 1, | | LO - 2 : | Explain the measurement-uncertainty relationship and the concept of common eigenfunctions using commutation relations. | 1 - 2 | 1, | | LO - 3 : | State why Hermitian operators are used to represent observable quantities. | 1 - 2 | 1, | | LO - 4 : | Write the equivalents of quantities formulated in wave function representation in Bra-Ket notation. | 1 - 2 | 1, | | LO - 5 : | Perform algebraic operations using creation and annihilation operators in the harmonic oscillator problem. | 1 - 2 | 1, | | LO - 6 : | Define the geometric and physical meanings of Angular Momentum and Spin and perform related algebraic operations. | 1 - 2 | 1, | | LO - 7 : | Apply approximation methods to appropriate physical problems where an exact solution is not possible. | 1 - 2 | 1, | | LO - 8 : | Explains the principle of indistinguishability for identical particles, the symmetry properties of their wave functions (Boson-Fermion distinction), and the Pauli Exclusion Principle. | 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 | | |
| General Formalism of Quantum Mechanics. Commuting Operators and Measurement. Dirac Bra-ket Notation and Matrix Representation. Harmonic Oscillator: Ladder Operators. Angular Momentum and Spin. Identical Particles. Approximation Methods: Perturbation theory. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | General Formalism of Quantum Mechanics: Wave Function Space | | | Week 2 | Matrix Representation of Linear Operators, Hermitian Operators, Gram-Schmidt Orthogonalization Method | | | Week 3 | Commuting Operators and Measurement | | | Week 4 | Dirac Bra-ket Notation | | | Week 5 | Harmonic Oscillator: Ladder Operators | | | Week 6 | Angular Momentum and Spin | | | Week 7 | Angular Momentum Algebra | | | Week 8 | General Theory of Spin | | | Week 9 | midterm exam | | | Week 10 | Identical Particles | | | Week 11 | Approximation Methods | | | Week 12 | Perturbation Theory | | | Week 13 | Perturbation Theory for Degenerate States | | | Week 14 | Variational Method | | | Week 15 | Time-Dependent Perturbation Theory | | | 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 | | | |
| 1 | J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley Publishing Company | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | /04/2026 | 2 | 50 | | End-of-term exam | 16 | /06/2026 | 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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