Advanced Quantum Mechanics
Physics
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Advanced Quantum Mechanics | FIZ605 | Compulsory | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Melahat BAYAR
Prof. Dr. Hayriye SUNDU PAMUK
Associate Prof. Dr. Jale YILMAZKAYA SÜNGÜ
Learning Outcomes of the Course Unit
1) Learn advanced topics in Quantum Mechanics
2) Obtains the ability to solve advanced quantum mechanics problems
3) Have basic mathematical knowledge to use in advanced quantum mechanics problems
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | High | Low | Low | No relation | Low | Middle | No relation | Low | Low | No relation | No relation | |
| 2 | High | No relation | No relation | Low | No relation | No relation | Low | No relation | No relation | Low | Low | |
| 3 | High | No relation | Low | No relation | Low | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Kuantum Mechanics
Course Contents
Candidates are provided with profound knowledge on Eigenvalues and eigenvectors of angular momentum, Vectorel summation of angular momentum, Clebsch-Gordon coefficients, calculation of matrix elements, symmetry and transformation, shift and rotation, system of identical particles, elastic and inelastic scattering, differential scattering cross section and total scattering cross section, partial wave analysis, born approximation, Klein-Gordon equation, Dirac equation and solutions for free particles, Dirac equation for particles in electromagnetic fields, fine structure of spectrum lines and obtaining the Pauli equation from Dirac equation.
Weekly Schedule
1) Eigenvalues and eigenvectors of angular momentum2) Vectorel summation of angular momentum
3) Clebsch-Gordon coefficients
4) Calculation of matrix elements
5) Symmetry and transformation. Shift and rotation
6) System of identical particles
7) Elastic and inelastic scattering
8) Midterm
9) Differential scattering cross section and total scattering cross section.
10) Partial wave analysis. Born approximation
11) Klein-Gordon equation. Dirac equation and solutions for free particles
12) Dirac equation for particles in electromagnetic fields.
13) Fine structure of spectrum lines.
14) To obtain the Pauli equation from Dirac equation
15) To obtain the Pauli equation from Dirac equation
16) To obtain the Pauli equation from Dirac equation
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Question-Answer
4) Question-Answer
5) Question-Answer
6) Discussion
7) Drill and Practice
8) Drill and Practice
9) Drill and Practice
10) Drill and Practice
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required