# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
GROUP THEORY/5471302
 Course Title: GROUP THEORY Credits 3 ECTS 7.5 Semester 1 Compulsory/Elective Elective
COURSE INFO
-- LANGUAGE OF INSTRUCTION
Turkish
-- NAME OF LECTURER(S)
Assoc. Prof. Dr. Özlem Yeşiltaş
-- WEB SITE(S) OF LECTURER(S)
http://websitem.gazi.edu.tr/site/yesiltas
-- EMAIL(S) OF LECTURER(S)
yesiltas@gazi.edu.tr
-- LEARNING OUTCOMES OF THE COURSE UNIT
The student can understand tle structures of the Lie Groups and they can learn the isomorphism of the groups
They can understand the Group Representations
Symmetries have an important role in all areas of physics, because there is a relationship between Symmetry and Conservation Laws, the student can bet
Lie algebras can be used in differential equation solutions and their symmetry relations and the students can see that they can follow more elegant me

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
-- PREREQUISITES AND CO-REQUISITES
There is no prerequisite or co-requisite for this course.
-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
Quantum Mechanics I, Mathematical Methods in Physics I-II, Linear Algebra etc are suggested.
 --COURSE CONTENT 1. Week Symmetries in Physics, postulates of groups, solvable nilpotent semi-simple and simple groups 2. Week Sn permutation group, conjugacy classes, subgroups, homomorphism 3. Week Representations of Groups 4. Week Schur hypothesis, character table 5. Week applications in physics 6. Week SO(2), SO(3), SU(2), SU(3) contionous groups, Clebsh-Gordan coefficients 7. Week lie Groups and Algebra 8. Week Levi Theorem, Simple Lie algebras 9. Week SO(2L), SO(2L+1) family 10. Week gauge groups 11. Week electromagnetic potential and gauge transformations 12. Week interactions with non-relativistic electrons 13. Week Relativistic formulation of Electromagnetism 14. Week Relativistic Equation of motion for the electron. 15. Week Applications 16. Week Applications
-- RECOMMENDED OR REQUIRED READING
1)B G Wybourne “Classical Groups for Physicists”, Wiley and Sons NY , 1974. 2) H. F. Jones, Groups, Representations and Physics; Adam Hilger, Bristol and NY, IOP Publishing Ltd, 1990. 3) Eugene Paul Wigner, “Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra”, (Academic Press Inc., New York, 1959), translated by J. J. Griffin
-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture, Applications, Homeworks and paper study.
-- WORK PLACEMENT(S)
Not Applicable
-- ASSESSMENT METHODS AND CRITERIA
 Quantity Percentage Mid-terms 1 20 Assignment 1 40 Exercises 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Contribution of In-term Studies to Overall Grade 60 Contribution of Final Examination to Overall Grade 40