Information Package / Course Catalogue
Group Theory For Physics
Course Code: FİZ423
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

To introduce the group theory which provides necessary mathematics for investigating symmetries of the nature

Course Content

Groups, symmetries in quantum mechanics, space and time

Name of Lecturer(s)
Learning Outcomes
1.The student should be able to give the mathematical definition of a group.
2.The student should be able to understand whether a set is a group under a certain operation
3.The student should be able to explain the relationship between the concepts group and symmetry
4.student should be able to define the concept of class in group theory.
5.The student should be able to dissociate a group into its subclasses and find the group structure of simple molecules.
6.The student should know the group representations of angular momentum.
7.The student should be able to construct the irreducible representations of a group.
8.Students should be able to understand group sets of space and time
Recommended or Required Reading
1.Symmetry in Physics ( J.P. Elliot, P.G. Dawber)
2. Group Theory in Physics ( Wu-Ki Tung)
Weekly Detailed Course Contents
Week 1 - Theoretical
Groups and their properties
Week 2 - Theoretical
A short summary of Linear Algebra and Vector spaces
Week 3 - Theoretical
Group Representations
Week 4 - Theoretical
The explanation of group representations with specific examples
Week 5 - Theoretical
Symmetries in Quantum Mechanics
Week 6 - Theoretical
Molecular Vibrations
Week 7 - Theoretical
Continuous groups and their representations
Week 8 - Theoretical
Angular momentum and the R^3 group (Midterm exam)
Week 9 - Theoretical
Point groups and their application to Crystal structures
Week 10 - Theoretical
Isospin and the SU2 group
Week 11 - Theoretical
The group SU3 and its application to elementary particles
Week 12 - Theoretical
Irreducible represantations of SU3 groups
Week 13 - Theoretical
Elementary particles and supermultiplets
Week 14 - Theoretical
Space and Time
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Assignment1%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140456
Assignment1416
Midterm Examination115217
Final Examination119221
TOTAL WORKLOAD (hours)100
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
OÇ-1
5
5
4
1
1
1
2
2
2
1
1
OÇ-2
5
5
5
1
1
1
2
2
2
1
1
OÇ-3
5
5
3
1
1
1
2
3
2
1
1
OÇ-4
4
4
3
1
1
1
2
1
2
1
1
OÇ-5
5
5
4
1
2
1
2
4
2
1
1
OÇ-6
5
5
4
1
2
1
3
3
2
1
1
OÇ-7
5
5
5
1
3
1
3
2
2
1
1
OÇ-8
5
5
4
1
2
1
3
4
2
1
1
Adnan Menderes University - Information Package / Course Catalogue
2026