Course Name Code Semester T+U Hours Credit ECTS
Relativistic Quantum Mechanics FIZ 609 0 3 + 0 3 8
Precondition Courses <p>Quantum Mechanics I</p>
Recommended Optional Courses
Course Language Turkish
Course Level Doctorate Degree
Course Type Optional
Course Coordinator Prof.Dr. LEYLA ÖZDEMİR
Course Lecturers
Course Assistants

Resc.Assist. Group of Atomic and Molecular Physics department

Course Category Field Proper Education
Course Objective

To learn relativistic quantum mechanics and do application atomic problems.

Course Content

Investigation of relativistic quantum mechanics and Dirac equation

# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/She remembers the special relativity theory Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
2 He/she remembers Lorentz transformation, partial differentials and quantum mechanical operators. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
3 He/she learns Dirac equation and Lorentz-covariance. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
4 He/She learns nonrelativistic limits of Dirac equation with electromagnetic fields. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
5 He/She comments the wavefunction of Dirac particles. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
6 He/She learns the wave functions of free particle and velocity operator. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
7 He/She examines some quantum mechanical problems. Lecture, Question-Answer, Discussion, Drilland Practice, Simulation, Self Study, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Special relativity theory and Lorents transformation [1]Page 1-8
2 Electromagnetic quantities [1]Page 9-20
3 Dirac equation and and Lorentz covariance [1]Page 23-34
4 Probability intensitiy and current intensity [1]Page 34-45
5 The nonrelativistic limits of Dirac equation in electromagnetic fields [1]Page 66-74
6 The wave function of free particle and velocity operator [1]Page 94-112
7 Dirac equation in homogen magnetic field [1]Page 112-119
8 Investigation of dirac particle in Coulomb field [1]Page 202-212
9 MIDTERM EXAM
10 Dirac particles [1]Page 412-421
11 Particles with arbitrary spin [1]Page 422-429
12 Klein-Gordon equation [1]Page 561-575
13 Klein-gordon Schrödinger equation [1]Page 575-590
14 Comparion of relativistic quantum mechanical equations [1]Page 592-597
Resources
Course Notes <p>1)Walter Greiner, Relativistic Quantum Mechanics: Wave equations, Springer, 2000</p>
Course Resources

2) Lars Bergström and Hans Hansson, Lecture Notes in Relativistic Quantum Mechanics, Stockholm University, 1999.
3) Armin Wachter, Relativistic Quantum Mechanics, Springer, 2011.

Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Using the knowledge of graduate and postgraduate education in postgraduate level. X
2 To be able to make literature search, presentation, experimental setup preparation, application and explication of results. X
3 To be able to join interdisciplinary and multidisciplinary team works. X
4 Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study.
5 To be able to prepare a scientific publication with the knowledges obtained from graduate and postgraduate studies.
6 Design and apply theoretical, experimental and model-based research; the ability to analyze and resolve complex problems that arise during this
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 60
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 20
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 5 80
Mid-terms 1 10 10
Quiz 2 10 20
Assignment 1 10 10
Final examination 1 20 20
Total Workload 188
Total Workload / 25 (Hours) 7.52
dersAKTSKredisi 8