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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
FIZ 519INTRODUCTION GROUP THEORY IN PHYSICS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to introduce group theory and to show the applications especially in high energy physics.
Course Content The Basic Framework, The Structure of Groups, Lie Groups, Representations of Groups, The Role of Lie Algebras, The Relationships between Lie Groups and Lie Algebras, The Three-dimensional Rotation Groups, The Structure and Representations of Semi-simple Lie Algebras, Symmetry Schemes for the Elementary Particles
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1To know group theory for physics.
2To begin doing research.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09
LO 00153  4    
LO 00253  4    
Sub Total106  8    
Contribution530040000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14684
Mid-terms13030
Final examination13939
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Spring1MUZAFFER ADAK
Details 2011-2012 Fall1MUZAFFER ADAK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
FIZ 519 INTRODUCTION GROUP THEORY IN PHYSICS 3 + 0 1 Turkish 2020-2021 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. MUZAFFER ADAK madak@pau.edu.tr FEN B0305 FEN B0316 %70
Goals The aim of this course is to introduce group theory and to show the applications especially in high energy physics.
Content The Basic Framework, The Structure of Groups, Lie Groups, Representations of Groups, The Role of Lie Algebras, The Relationships between Lie Groups and Lie Algebras, The Three-dimensional Rotation Groups, The Structure and Representations of Semi-simple Lie Algebras, Symmetry Schemes for the Elementary Particles
Topics
WeeksTopics
1 Definitions of Matricies, Eigenvalues and Eigenvectors, The Concept of a Vector Space, Inner Product Spaces
2 Hilbert Spaces, Linear Operators, Bilinear Forms, Linear Functionals, Direct Product Spaces
3 The Concept of a Group, Group of Rotations, Group of Translations
4 The Group of the Schrödinger Equation, The Role of Matrix Representations
5 Some Elementary Considerations, Classes, Invariant Subgroups, Cosets, Factor Groups, Homomorphic and Isomorphic Mappings, Direct Products and Semi-direct Products of Groups
6 Definitions on Representations of Groups, Equivalent Representations, Unitary Representations, Reducible and Irreducible Representations, Schur’s Lemmas
7 Projection Operators, Direct Product Representations, The Wigner-Eckart Theorem, Representations of Direct Product Groups, Irreducible Representations of Finite Abelian Groups, Induced Representations
8 Midterm
9 The Solution of the Schrödinger Equation, Transition Probabilities and Selection Rules, Time-independent Perturbation Theory
10 The Bravais Lattices, The Cyclic Boundary Conditions, Irreducible Representations of the Group T of Pure Primitive Translations, Bloch’s Theorem
11 Brillouin Zones, Electronic Energy Bands, Survey of the Crystallographic Space Groups
12 Fundamental Theorem on Irreducible Representations of Symmorphic Space Groups, Irreducible Representations of the Cubic Space Groups Oh1, Oh5 and Oh9
13 Degeneracies of Eigenvalues and the Symmetry of E(k), Continuity and Compatibility of the Irreducible Representations of G0(k)
14 Origin and Orientation Dependence of the Symmetry Labelling of Electronic States, Character Tables for the Crystallographic Point Groups
Materials
Materials are not specified.
Resources
ResourcesResources Language
Lecture Notes on Group Theory in Physics (A Work in Progress) Daniel Arovas Department of Physics University of California, San Diego November 1, 2020English
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes