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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS PHY 5111 GROUP THEORY ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR HASAN KARABIYIK

Offered to

PHYSICS PHYSICS

Course Objective

The course will provide an understanding the importance of the Group Theory and comprehension for applications of group theoretical methods in various physical problems.

Learning Outcomes of the Course Unit

1   At the end of this course student will be able to define a group and express its fundamental properties 2   At the end of this course student will be able to identify the differences between discrete and continuous groups 3   At the end of this course student will be able to express and apply mathematically Group postulates on any operational set 4   At the end of this course student will be able to understand the relationships between the group concept and symmetry 5   At the end of this course student will be able to establish groups character tables

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Basic Mathematical Background: Introduction 2 Representation Theory 3 Character of a Representation 4 Basis Functions 5 Space Groups in Real Space 6 Splitting of Atomic Orbitals in a Crystal Potential 7 Application to Selection Rules and Direct Products 8 MIDTERM 9 Applications to Lattice Vibrations 10 Lie Algebra and Groups 11 SU(1,1) ve SU(2) Groups 12 SO(2,1) Group 13 Morse Potential 14 Pöschl-Teller Potential

Recomended or Required Reading

Textbook: Group Theory, M.S. Dresselhaus, G. Dresselhaus, A. Jorio, Springer, 2008. Supplementary Book(s): Factorization Method in Quantum Mechanics, Shi-Hai Dong, Springer, 2007.

Planned Learning Activities and Teaching Methods

1. Lectures 2. Problem solving 3. Presentations 4. Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Final Midterm Homework

Language of Instruction

Turkish

Course Policies and Rules

1. Attending at least 70 percent of lectures is mandatory. 2. Plagiarism of any type will result in disciplinary action.

Contact Details for the Lecturer(s)

hasan.karabiyik@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 10 3 30 Tutorials 3 3 9 Preparations before/after weekly lectures 13 1 13 Preparation for midterm exam 1 12 12 Preparation for final exam 1 12 12 Preparing assignments 4 8 32 Preparing presentations 13 5 65 Final 1 3 3 Midterm 1 3 3 TOTAL WORKLOAD (hours) 179

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 LO.1 4 4 4 5 2 3 3 2 2 1 LO.2 4 4 4 5 2 3 3 2 2 1 LO.3 4 4 4 5 2 3 3 2 2 1 LO.4 4 4 4 5 2 3 3 2 2 1 LO.5 4 4 4 5 2 3 3 2 2 1