FÄ°Z606 - RELATIVISTIC QUANTUM MECHANICS

Course Name Code Semester Theory
(hours/week)		 Application
(hours/week)		 Credit ECTS
RELATIVISTIC QUANTUM MECHANICS FÄ°Z606 Any Semester/Year 3 0 3 6
Prequisites
Course languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
 
Instructor (s)To be determined by the Department of Physics Engineering. 
Course objectiveEinstein?s special theory of relativity (which extends Newtonian mechanics to high speeds) and non relativistic quantum mechanics (which extends Newtonian mechanics to atomic distances) must be unified as the relativistic quantum mechanics. Because the entities in the atomic scale move with relatively high speed. Therefore, the principle aim of this course is to acquaint the students, particulary those who would be undertaking research requiring this formalism. 
Learning outcomes
  1. 1-The material covered in this course is relevant and useful for those who are doing thesis works in the theoretical areas.
Course ContentBrief Review of Special Theory of Relativity: Special Relativity of Einstein, Lorentz Group
Introduction to Relativistic Quantum Mechanics: Probability Conservation, Klein Gordon equation, the inconsitency of the Klein.Gordon equation with the probabilistic interpretation.
The construction of the Dirac equation and the properties:,the classical limit, derivation of the classical relativistic force equations using the Heisenberg picture(or the Ehrenfest theorem) for the charged Dirac system,
Non relativistic limit for the charged particle in an external electromagnetic field: Pure Magnetic Field (g=2),
The Fine Structure of Hydrogen: Solution of the Dirac equation in a Coulomb potential(pure Coulomb field).
Covariance and symmetry properties of the Dirac equation; Covariant Form of the Dirac equation, algebra of the gamma matrices, bilinear covariants, space reflection
Free particle solutions of the Dirac equation: coprojection operators for energy and spin, 
References* Relativistic Quantum Mechanics, J. D. Bjorken and S.Drell,
* Relativistic Quantum Mechanics, W.Greiner and D.A. Bromley
 

Course outline weekly

WeeksTopics
Week 1Brief Review of Special Theory of Relativity: Special Relativity of Einstein, Lorentz Group
Week 2Introduction to Relativistic Quantum Mechanics: Probability Conservation, Klein Gordon equation, the inconsistency of the Klein.Gordon equation with the probabilistic interpretation
Week 3The construction of the Dirac equation and the properties:,the classical limit, derivation of the classical relativistic force equations using the Heisenberg picture(or the Ehrenfest theorem) for the charged Dirac system
Week 4Non relativistic limit for the charged particle in an external electromagnetic field: Pure Magnetic Field (g=2),
Week 5The Fine Structure of Hydrogen: Solution of the Dirac equation in a Coulomb potential(pure Coulomb field).
Week 6Mid-Term
Week 7Covariance and symmetry properties of the Dirac equation; Covariant Form of the Dirac equation, algebra of the gamma matrices, bilinear covariants, space reflection
Week 8Free particle solutions of the Dirac equation: coprojection operators for energy and spin, construction of free Dirac spinors through the boosting
Week 9Physical Interpretation of Free Particle Solutions: Klein Paradox
Week 10Zitterbewung and Negative Energy Solutions, Hole Theory, Charge Conjugation
Week 11Mid-Term
Week 12Antiparticles, time Reversal and other symmetries
Week 13The Foldy Wouthysen Transformation: Free Particle Transformation, General Transformation, Hydrogen Atom
Week 14Feynman Propagator Theory

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments00
Presentation00
Project00
Seminar00
Midterms250
Final exam150
Total100
Percentage of semester activities contributing grade succes050
Percentage of final exam contributing grade succes050
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14342
Presentation / Seminar Preparation000
Project000
Homework assignment21326
Midterms (Study duration)23060
Final Exam (Study duration) 11010
Total Workload3359180

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Combines mathematics, science and engineering knowledge in a multidisciplinary manner and implement into modern technological and scientific advanced research.    X
2. Accesses, interprets, and implements information by doing in depth applied research for technological applications.  X  
3. Develops original models and designs methods to solve problems by using relevant software, hardware, and modern measurement tools.   X 
4. Accesses information by doing research in certain fields, share knowledge and opinions in multidisciplinary work teams.   X 
5. Implements modeling and experimental research; solves encountered complex problems.     
6. Knows and follows recent improvements in the field, utilize new information to solve technological complex problems. Develops and plans methods to solve technological problems in an innovative manner.     
7. Follows recent studies in the field, presents results in national and international meetings.  X  
8. Knows advanced level Turkish and at least one foreign language to be able to present recent results.     
9. Uses advanced communication tools related to technological methods and software.  X  
10. Protects social, scientific, and ethical values while collecting and implementing, data and presenting results in scientific meetings.   X 

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest