       
Programme 
Graduate School of Natural and Applied Sciences 
Course Information 
Course Unit Code  Course Unit Title   Credit Pratic  Credit Lab/A  Credit Total  Credit Ects  Semester 
01FEN5162  Relativistic Quantum Mechanics  3.00  0.00  0.00  3.00  6.00  1 
Course Information 
Language of Instruction  Turkish 
Type of Course Unit  Elective 
Course Coordinator  Assistant Professor Dr. Gaber FAİSEL 
Course Instructors  3Gaber Faisel 
Course Assistants  
Course Aims  Learning the formulation of the relativistic wave equations for spin0 and spinhalf particles that are basic ingredient for understanding some of fundamental forces in our universe. 
Course Goals  Learning the formulation of the relativistic wave equations for spin0 and spinhalf particles that are basic ingredient for understanding some of fundamental forces in our universe. 
Learning Outcomes of The Course Unit  . 
Course Contents  Week 1: The Notation Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 1?4
Week 2: The KleinGordon Equation and The NonRelativistic Limit Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 4?8
Week 3: Free Spin0 particles and Energy Momentum Tensor of the KleinGordon Field Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 8?14
Week 4 : Lagrangian Formalism of the KleinGordon Field and The Lorentz Invariance of the KleinGordon Field. Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 14?18 and pages 2021.
Week 5: The Interaction of a Spin0 Particle with an Electromagnetic Field. Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 41?44
Week 6: Gauge Invariance of the Coupling, The Nonrelativistic Limit with Fields and Lagrangian density and energy momentum tensor for a KleinGordon particle in an Electromagnetic field Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 1 pages 49?53
Week 7: The Dirac Equation Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 2 pages 99?104
Week 8: Free Motion of a Dirac Particle and Lagrangian density and Energy Momentum Tensor of the Free Dirac Equation Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 2 pages 107?111 and 114115
Week 9: SingleParticle Interpretation of the Plane (Free) Dirac waves and Nonrelativistic Limit of the Dirac Equation. Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 2 pages 111?113 and pages 120121
Week 10: Lorentz Covariance of the Dirac Equation part I Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 3 pages 127?132
Week 11: Lorentz Covariance of the Dirac Equation part II and construction of the S^ operator for infinitesimal Lorentz Transformation. Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 3 pages 137?141
Week 12: Construction of the S^ operator for Finite Proper Lorentz Transformations.
Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 3 pages 142?146
Week 13: Bilinear Covariants of the Dirac Spinors. Study Materials: Relativistic Quantum Mechanics W. Greiner and J. Reinhardt, Springer. Chapter 5 pages 151?154
Week 14: General overview

Prerequisities and Corequisities Courses  
Recommended Optional Programme Components  
Mode Of Delivery  
Level of Course Unit  
Assessment Methods and Criteria  ECTS / Table Of Workload (Number of ECTS credits allocated) 
Studies During Halfterm  Number  CoEfficient  Activity  Number  Duration  Total 
Visa  1  50  Course Duration (Excluding Exam Week)  14  3  42 
Quiz  0  0  Time Of Studying Out Of Class  0  0  0 
Homework  5  35  Homeworks  0  0  0 
Attendance  0  0  Presentation  0  0  0 
Application  0  0  Project  0  0  0 
Lab  0  0  Lab Study  0  0  0 
Project  0  0  Field Study  0  0  0 
Workshop  0  0  Visas  0  0  0 
Seminary  1  15  Finals  0  0  0 
Field study  0  0  Workload Hour (30)  30 
TOTAL  100  Total Work Charge / Hour  
The ratio of the term to success  50  Course's ECTS Credit  
The ratio of final to success  50  
TOTAL  100  
Recommended or Required Reading 
Textbook  Lecturer's own lecture notes. 
Additional Resources  W. Greiner and J. Reinhardt, Relativistic Quantum Mechanics, Springer 
Material Sharing 
Documents  
Assignments  
Exams  
Additional Material  
Planned Learning Activities and Teaching Methods 
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary) 
Work Placements 
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved. 
Program Learning Outcomes 
No  Course's Contribution to Program  Contribution 
Course Content 