Information Package / Course Catalogue
Relativistic Quantum Mechanics
Course Code: FZK608
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

Relativistic Quantum Physics is a course where important theories for elementary particle physics and symmetries are learned. During the course, it will be illustrated how relativistic symmetries and gauge symmetries can restrict "possible" theories. The course will give an introduction to perturbation theory and Feynman diagrams.

Course Content

Tensor notation. Casimir operators. The Poincaré group. Irreducible representations of particles. The Klein-Gordon equation. The Dirac equation. The structure of Dirac particles. The Dirac equation: central potentials. The Weyl equation.

Name of Lecturer(s)
Learning Outcomes
1.Analyze the Klein-Gordon and the Dirac equations.
2.Know Maxwell's equations and classical Yang-Mills theory.
3.Kuantize Klein-Gordon, Dirac, and Majorana fields as well as formulate the Lagrangian for these fields.
4.Use perturbation theory in simple quantum field theories.
5.Derive Feynman rules from simple quantum field theories as well as interpret Feynman diagrams.
Recommended or Required Reading
1.W. Greiner, Relativistic Quantum Mechanics - Wave Equations, Springer (2000)
2.M.E. Peskin and D.V. Schroeder, Introduction to Quantum Field Theory, Harper-Collins (1995)
3.F. Schwabl, Advanced Quantum Mechanics, Springer (1999)
4.F. Gross, Relativistic Quantum Mechanics and Field Theory, Wiley (1993)
Weekly Detailed Course Contents
Week 1 - Theoretical
Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications
Week 2 - Theoretical
Interpretation of One-Particle Operators in Relativistic Quantum mechanics
Week 3 - Theoretical
A Wave Equation for Spin-1/2 Particles: Dirac Equation
Week 4 - Theoretical
Nonrelativistic Limit of the Dirac Equation
Week 5 - Theoretical
Lorentz Covariance of the Dirac Equation
Week 6 - Theoretical
Finite Proper Lorentz Transformations
Week 7 - Theoretical
Spiniors Under Spatial Reflection
Week 8 - Theoretical
Spiniors Under Spatial Reflection, Midterm Exam
Week 9 - Theoretical
Bilinear Covariants of the Dirac Spinors
Week 10 - Theoretical
Plane Waves in Arbitrary Directions
Week 11 - Theoretical
Polarized Electrons in Relativistic Theory
Week 12 - Theoretical
Projection Operators for Energy and Spin
Week 13 - Theoretical
Wave Packets of Plane Dirac Waves
Week 14 - Theoretical
Klein’s Paradox
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures14%28
Assignment14%14
Quiz2%8
Midterm Examination1%20
Final Examination1%30
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1483154
Assignment33112
Quiz24110
Midterm Examination1538
Final Examination17310
TOTAL WORKLOAD (hours)194
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
OÇ-1
5
5
5
5
5
5
5
5
OÇ-2
5
5
5
5
5
5
5
5
OÇ-3
5
5
5
5
5
5
5
5
OÇ-4
5
5
5
5
5
5
5
5
OÇ-5
5
5
5
5
5
5
5
5
Adnan Menderes University - Information Package / Course Catalogue
2026