elective courses ı t u l k ects credit - fbe.deu.edu.tr · dokuz eylul university graduate school...

Dokuz Eylul University Graduate School of Natural and Applied Sciences

Department of Physics ELECTIVE COURSES Graduate Curriculum of Fall Semester

Ders Kodu Ders Adı T U L K ECTS

Credit PHY 509 QUANTUM THEORY OF SOLIDS-I 3 0 0 3 10

PHY 511 SÜPERİLETKENLİK-I 3 0 0 3 8

PHY 539 MAGNETIC RESONANCE-I 3 0 0 3 10

PHY 541 SPEKTRAL ANALİZ YÖNTEMLERİ 3 0 0 3 10

PHY 525 KRİSTALOGRAFİ-I 3 0 0 3 10

PHY 557 PHYSICS OF LOW-DIMENSIONAL

SEMICONDUCTOR STRUCTRES-I 3 0 0 3 10

PHY 559 YARI İLETKENLER-I 3 0 0 3 8

PHY 561 PHASE TRANSITION AND CRITICAL

PHENOMENA-I 3 0 0 3 8

PHY 563 SIVI KRİSTALLER-I 3 0 0 3 8

PHY 565 NONLIENAR DYNAMICS AND

CHAOS-I 3 0 0 3 10

PHY 567 FİZİKTE STOKASTİK SÜREÇLER-I 3 0 0 3 10

PHY 569 FLUIDS MECHANICS-I 3 0 0 3 8

PHY 571 COMPUTATIONAL PHYSICS-I 3 0 0 3 10

PHY 573 NÜKLEER FİZİK-I 3 0 0 3 8

PHY 575 NON-EQUILIBRIUM STATISTICAL

MECHANICS-I 3 0 0 3 10

PHY 577 COMPLEX SYSTEMS-I 3 0 0 3 10

PHY 533 MOLEKÜLER FİZİK 3 0 0 3 10

PHY 583 QUANTUM THEORY OF MANY

PARTICLE SYSTEMS-I 3 0 0 3 10

PHY 585 DENSITY FUNCTIONAL THEORY-I 3 0 0 3 10

PHY 551 C MATEMATİKSEL FİZİK-I 3 0 0 3 12

PHY 505 C KLASİK ELEKTRODİNAMİK-I 3 0 0 3 12

PHY 549 C KUANTUM TEORİSİ-I 3 0 0 3 12

PHY 545 C İSTATİSTİK MEKANİK-I 3 0 0 3 12

PHY 543 C KLASİK MEKANİK-I 3 0 0 3 12

PHY 596 C M. Sc. Seminar 0 2 0 0 4

PHY 598 C M. Sc. Research 2 0 0 2 8

PHY 599 C M. Sc. Thesis 0 0 0 0 16

PHY 696 C Ph. D. Seminar 0 2 0 0 4

PHY 698 C Ph. D. Research 2 0 0 2 8

PHY 699 C Ph. D. Thesis 0 0 0 0 16

Spring Semester

Ders Kodu Ders Adı T U L K

ECTS Credit

PHY 510 QUANTUM THEORY OF SOLIDS-II 3 0 0 3 10 PHY 512 SÜPERİLETKENLİK-II 3 0 0 3 8 PHY 536 MAGNETIC RESONANCE-II 3 0 0 3 10 PHY 556 KRİSTALOGRAFİ-II 3 0 0 3 10

PHY 558 PHYSICS OF LOW-DIMENSIONAL SEMICONDUCTOR STRUCTURES-II 3 0 0 3 10

PHY 560 YARI İLETKENLER-II 3 0 0 3 8

PHY 562 PHASE TRANSITION AND CRITICAL PHENOMENA-II 3 0 0 3 8

PHY 564 SIVI KRİSTALLER-II 3 0 0 3 8

PHY 566 NONLIENAR DYNAMICS AND CHAOS-II 3 0 0 3 10

PHY 568 FİZİKTE STOKASTİK SÜREÇLER-II 3 0 0 3 10 PHY 570 FLUIDS MECHANICS-II 3 0 0 3 8 PHY 572 COMPUTATIONAL PHYSICS-II 3 0 0 3 10 PHY 574 NÜKLEER FİZİK-II 3 0 0 3 8

PHY 576 NON-EQUILIBRIUM STATISTICAL MECHANICS -II 3 0 0 3 8

PHY 578 COMPLEX SYSTEMS-II 3 0 0 0 10

PHY 582 İLERİ MOLEKÜLER FİZİK 3 0 0 3 10 PHY 584 QUANTUM THEORY OF MANY 3 0 0 3 10

http://www.fbe.deu.edu.tr/bolumler/katalog.asp?ders_kodu=KIM696&program=KID





PARTICLE SYSTEMS-II

PHY 586 DENSITY FUNCTIONAL THEORY-II 3 0 0 3 10 PHY 552 C MATEMATİKSEL FİZİK-II 3 0 0 3 12 PHY 506 C KLASİK ELEKTRODİNAMİK-II 3 0 0 3 12 PHY 550 C KUANTUM TEORİSİ-II 3 0 0 3 12 PHY 544 C İSTATİSTİK MEKANİK-II 3 0 0 3 12 PHY 542 C KLASİK MEKANİK-II 3 0 0 3 12 PHY 596 C M. Sc. Seminar 0 2 0 0 4 PHY 598 C M. Sc. Research 2 0 0 2 8 PHY 599 C M. Sc. Thesis 0 0 0 0 16 PHY 696 C Ph. D. Seminar 0 2 0 0 4 PHY 698 C Ph. D. Research 2 0 0 2 8 PHY 699 C Ph. D. Thesis 0 0 0 0 16 PHY…... Special Topics 0 0 0 0 12 C : Zorunlu/Compulsory Courses




Course Code:Mat 501 Course Title: Applied Mathematics Level: Graduate Semester: Fall ECTS Credit: 7 Status: Elective Hours a Week: T.(3+0) Total Class Hours:14 weeks x 3h.= 42 Instructor: To be announced Instruction Language: English PREREQUISITIES Undergraduate level of Calculus, Analysis, Linear Algebra and Differential Equations. DESCRIPTION Objectives: The aim of this course is to give basic knowledge of mathematics which is useful in various fields of applications such as physics, applied mathematics, and all branches of engineering. Learning outcomes: This course will give the students basic concepts in linear analysis where the entities are the elements of finite dimensional linear spaces or the elements of infinite dimensional function spaces. Students will learn the analytical solution methods to obtain the exact solutions of the problems encountered in applications. Contents: Linear Spaces and Transformations. Normed Linear Spaces. Inner Product Spaces. Matrix Representation of a Lineer Transformation. Matrix Transformations. Algebraic Eigenvalue Problem. Function Spaces. Orthogonal Functions. Fourier Series and Fourier Transforms. Initial and Boundary Value Problems. Partial Differential Equations of Mathematical Physics. Solutions of Initial and Boundary Value Problems by the Fourier Series, Fourier Transforms and Green’s Functions Methods. TEACHING AND LEARNING METHODS The course is taught in a lecture with application hours. All students are expected to attend lecture and problem solving hours. TEXBOOK: F. B. Hildebrand, “Methods of Applied Mathematics”, Prentice Hall, 1965 R. G. Nagle, E. B. Staff, “Differential Equations and Boundary Value Problems” , Addison Wesley, 1993

Course Code: MAT502 Course Title: Numerical and Approximate Methods Level: Graduate Semester: Fall-Spring ECTS Credit: 7 Status: Elective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES

Calculus, Differential Equations DESCRIPTION

Objectives: Numerical analysis involves the design, analysis, and implementation of approximation methods for various problems.

Learning outcomes: In this course, the successful student will learn to: 1. approximate solutions of nonlinear equations 2. approximate solutions of linear system of equations 3. interpolate data points with polynomials 4. estimate the numerical values of derivatives and integrals 5. numerically solve ordinary differential equations 6. numerically solve partial differential equations Contents: 1. Computational and Mathematical Preliminaries (1 week) 2. Newton’s method for non-linear systems (1 week) 3. The solution of linear systems (1 week)

3.1 Direct Methods (1 week) 3.2 Error Analysis and norms (1 week) 3.3 Iterative methods (1 week) 3.4 Algebraic Eigenvalue Problem (1 week)

4. Curve fitting 4.1 The method of Least Squares (1 week) 4.2 Fourier Series and Trigonometric Polynomails (1 week)

5. Numerical solution of ordinary differential equations (1 week) 5.1 Initial value Problems (1 week)

5.2 Boundary value Problems (1 week) 6. Solution of Partial Differential Equations

6.1 Hyperbolic Equations (1 week) 6.2 Parabolic Equations (1 week) 6.3 Elliptic Eqautions (1 week)

TEACHING AND LEARNING METHOS The course is taught in a lecture, class presentation and discussion format. TEXTBOOK John H. Matthews, “Numerical Methods for Mathematics, Science and Engineering”. Prentice-Hall, 1992. ASSESSMENT Midterm I, II, III %20, %20, %20 Final Exam % 40

Course Code: PHY 505 Course Title: Classical Electrodynamics-I Level: Graduate Semester: Fall ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Electromagnetic theory is the theory of classic electric and magnetism. In this course, it will be given place to the events which can be explained with the classical theory. Objectives: Learning outcomes:

The student will gain the understanding of classical view of the natural phenomena.

Contents: Introduction to Electrostatic, Boundary-Value Problems in Electrostatic, Multipole Expansion, Electrostatic in Macroscopic Media, Dielectrics, Mangetostatics, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Classical Electrodynamics, J.D. Jackson, (Second Edition) John Wiley and Sons, New York, 1975. Introduction to Electrodynamics,David J.Griffiths, 2nd edition, Prentice-Hall Inc. New York, 1991 Classical Electromagnetic Radiations,2 nd edition, J.B. Marion, New York, 1995 ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 506 Course Title: Classical Electrodynamics -II Level: Graduate Semester: Spring ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES PHY 505 Classical Electrodynamics -I DESCRIPTION Electromagnetic theory is the theory of classic electric and magnetism. In this course, it will be given place to the events which can be explained with the classical theory. Objectives: Learning outcomes:

The student will gain the understanding of classical view of the natural phenomena.

Contents: Time Dependent Fields, Maxwell’s Equations, Conservation Laws, Plane Electromagnetic Waves and Spreading of the Waves, Wave Guides and Resonance Cavities, Simple Radioactive Systems, Scattering and Diffraction, Special Relativity Theory, The Dynamics of the Relative Particles and Electromagnetic Fields TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Classical Electrodynamics, J.D. Jackson, (Second Edition) John Wiley and Sons, New York, 1975 Introduction to Electrodynamics, David J.Griffiths, 2nd edition, Prentice-Hall Inc. New York, 1991 Classical Electromagnetic Radiations,2 nd edition, J.B. Marion, New York, 1995 ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 509 Course Title: Quantum Theory of Solids-I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The object of this course is to present the central principles of the quantum theory of solids. Objectives: Learning outcomes:

To gain the basic principles of quantum theory for solids

To have hands on experience quantum mechanical calculations

Contents: Reciprocal lattice, Fourier lattice series, General time-dependent perturbation theory, Quantum theory of the continuous elastic line, Phonons in a condensed boson gas, Plasmons, optical phonons, and polarization waves, Magnons, Antiferromagnetic, Ferromagnetic magnons, Fermion fields and the Hartree-Fock approximation, Many-body techniques and the electron gas, Bloch functions,

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Quantum Theory of Solids by C.Kittel, John Wiley & Sons, Principles of the Theory of Solids by J.M. Ziman, Cambridge University Pres, ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 510 Course Title: Quantum Theory of Solids-II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The object of this course is to present the central principles of the quantum theory of solids. Objectives: Learning outcomes:

To gain the basic principles of quantum theory for solids

To have hands on experience quantum mechanical calculations

Contents: Magnetoresistance, Calculation of energy bands and Fermi surfaces, Semiconductor crystals, Semiconductor crystals, . Electrodynamics of metals, Theory of alloys, Green’s functions - Application to solid state physics

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Quantum Theory of Solids by C.Kittel, John Wiley & Sons, Principles of the Theory of Solids by J.M. Ziman, Cambridge University Pres, ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 511 Course Title: Superconductivity I Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The aims of this lecture are to give students an introduction to the subject of superconductivity in metals,alloys and cuprates and provide an understanding of some of the theories which have been developed to model these phenomena Objectives: Learning outcomes:

Electrical conductivity of metals Demonsttrate a knowledge of basic properties of superconductivity Understand the essential differences between conventional low Tc superconductors and high Tc superconductors. Superconducting theories

Contents: Drude theory, fre eelectron theory, band theory of solids , properties of superconductivity , onset of zero rsistance and the transition temperature, magnetic properties and diamagnetism, penetration depth,critical magnetic field, thermodynamic of superconductors, theory of superconductors, electrodynamic and London theory, Ginzburg-Landau and BCS theory, Type 1 and type II superconductors

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Introduction to Superconductivity ,M.Tinkham,Mc Graw Hill 1996 Introduction to Superconductivity, Rose-İnnes and E.H.Rhodererick,Pergamon ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 512 Course Title: Superconductivity II Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Objectives: Physical properties of high temperature superconductors, relevant theoretical models, superconducting materials, vortices, vortex properties, vortex dynamics. Learning outcomes:

DC Josephson Effect, DC SQUID and tunnelling in superconductivity High temperature superconductivity

Contents: Introduction History of superconductivity. Discovery of high temperature superconductors. Record critical temperature, Importance of high temperature superconductivity. Materials. Overview of high Tc materials. Structure. Basic properties. Thin films and monocrystals growing. . Theoretical models - BCS. Bardeen, Cooper, Schriefer (BCS) theory. Basic parameters. Limiting cases. Symmetry of the order parameter. Comparison of high temperature and low temperature superconductors. Alternative paring mechanisms. The problem to explain high critical temperature. YBCO,BSCCO systems. non BCS theoretical models. Marginal Fermiho liquid, t-J model, bipolaron model. Physical properties. Transport properties - conductivity, Hall voltage. Magnetic properties. Tunellling. Infrared and Raman spectroscopy. Energy gap determination. Vortices Basic concepts. Vortex lattice. Vortex dynamics. Phase diagrams Importance for application. Application - current stage and the outlook. Superconducting solenoids. SQUID and its application. Bolometers. Computer components

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Introduction to Superconductivity, M.Tinkham, Mc Graw Hill 1996 Introduction to Superconductivity, Rose-İnnes and E.H.Rhodererick, Pergamon Superconductivity, Charles P.Pole, A.Farac, R.J.Creswick, 1995 Academic Press ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 525 Course Title: Crystalography – I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Elective Hours a Week: T (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES

None DESCRIPTION

Objectives: The course aims to develop basic insights related to crystal symmetry, Crystallographic computing, X-ray scattering, data reduction.

Learning outcomes:

This course is expected to help the student to appreciate which properties crystals have.

To appreciate X-ray data collection and data reduction processes.

Contents:

Crystal Symmetry, Crystallographic computing, Least square method, X-ray scattering, Experimental methods in X-ray crystallography, data reduction. TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Fundamentals of Crystallography, Carmelo Giacovazzo (Editör), G. Artioli, D. Viterbo, G. Ferraris, C. Giazovazzo, H. L. Monaco. Oxford Press; 2002, ISBN: 0198509588 ASSESSMENT

- Homework - Quiz - Midterm Exam - Final Exam - Term Paper

Course Code: PHY 530 Course Title: Crystalography – II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish

PREREQUISITIES

None DESCRIPTION

Objectives: Crystal structure solution by direc methods, Patterson analysis, refinement; crystal structure analysis; introduction to macromolecular crystallography .

Learning outcomes:

This course is expected to help the student to appreciate crystal structure solution by direct methods, Patterson method, and refinement.

To appreciate macromolecular crystallography.

Contents:

Crystal structure solution and refinement, ionic crystals, introduction to stereochemistry, ring conformation, introduction to protein crystallography, crystal structure solution and refinement programs. TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Fundamentals of Crystallography, Carmelo Giacovazzo (Editör), G. Artioli, D. Viterbo, G. Ferraris, C. Giazovazzo, H. L. Monaco. Oxford Press; 2002, ISBN: 0198509588 ASSESSMENT

- Homework - Quiz - Midterm Exam - Final Exam

Term Paper

Course Code: PHY 533 Course Title: Molecular Physics Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION To study the molecular structure is getting more and more possible due to the improvement on computer technologies and the new techniques to solve the interacting many particle systems. In this course the molecular structure will be discussed and new advances will be introduced. Objectives: Having concepts of quantum mechanics during the course the molecular structure will be analyzed and experimental results are compared with theories. Learning outcomes:

To understand the structure of molecules

To be able to do calculations related electronic structure of molecules

To gain new techniques toward the solution of many particle systems

Contents: H Atom, Spectrum of alkali atoms, Orbital and spin magnetization, Fine structure, In external fields, Transition, Many electron atoms, H2 Molecule, Hartree-Fock Method, Single partical solutions, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Bransden, B.H., and Joachain , C. J. (1983) Physics of Atoms and Molecules. Longman , London ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY536 Course Title: Magnetic Resonance II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be anounced Instruction Language: Turkish PREREQUISITIES

Upper-intermediate level of atomic and molecular physics. DESCRIPTION

Objectives: Introducing and understanding of principles of instrumental analysis equipment, determining of application areas.

Learning outcomes: To provide fundamental knowledge about modern methods of magnetic resonance and experience applying them in chemical analysis.

Contents: Electromagnetic radiation and spectroscopy areas, magnetic rezonance, microwave, infrared, raman, X-ray and UV spectroscopy, peak analysis. Interference and diffraction in radiation, XRD. TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Principles of Magnetic Resonance, Charles P. Slichter (Springer, 1996). ASSESSMENT

- Homework - Quiz - Midterm Exam - Final Exam

- Term Paper

Course Code: PHY539 Course Title: Magnetic Resonance I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Elective HoursAVeek: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be anounced Instruction Language: Turkish PREREQUISITIES



Learning outcomes: To provide fundamental knowledge about modern methods of magnetic resonance and experience applying them in chemical analysis.


The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Principles of Magnetic Resonance, Charles P. Slichter (Springer, 1996). ASSESSMENT


Course Code: PHY541 Course Title: Spectral Analysis Methods Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be anounced Instruction Language: Turkish PREREQUISITIES



Learning outcomes: To provide fundamental knowledge about modern methods of spectral analysis and experience applying them in chemical analysis.


The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Spectral Analysis and Time Series; by M. B. Priestley (Editor) and An Introduction Spectral Analysis; by Petre Stoica, Randolph L. Moses (Contributor) ASSESSMENT


Course Code: PHY 542 Course Title: Classical Mechanics-II Level: Graduate Semester: Spring ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES Classical Mechanics I DESCRIPTION The object of this course is to present the central principles of the classical mechanics. Objectives: Learning outcomes:

To gain the basic principles of classical mechanics

To give the student Hamilton equations of motion, canonical transformation and Lagrange and Hamilton formulation for the continuous systems, which have great importance in classical mechanics.

Contents: Hamilton equations of motion, Conservation theorems and the physical meaning of Hamilton function, Canonical transformations, Constants of motion and symmetry properties, . Hamilton-Jacobi theory, The variables of apsidal angle, Canonical perturbation theory, Illusturations of the time dependent perturbation theory, Introduction to the Lagrange and Hamilton formulation for the continuous systems, Sound vibrations in gaseous as an example of the Lagrange formulation, Hamilton formulation for the continuous systems

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Classical Mechanics, H. Goldstein, Addison-Wesley Publishing Company, 2nd Ed., 1980. Pergamon Press, 3rd

Ed., 1976. Theoretical Mechanics of Particles and Continua, L.Fetter and J. D. Walecka, McGraw-Hill, 1980. Mechanics, L. D. Landau and E. M. Lifshitz, The Variational Principles of Mechanics, C. Lanchoz, University of Toronto Press, 4th Ed., 1970. Classical Dynamics of Particles and Systems, J. B. Marion, Academic Press, 2nd Ed., 1970. ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 543 Course Title: Classical Mechanics-I Level: Graduate Semester: Fall ECTS Credit: 12 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The object of this course is to present the central principles of the classical mechanics. Objectives: Learning outcomes:

To gain the basic principles of classical mechanics

To give the student Hamilton equations of motion, canonical transformation and Lagrange and Hamilton formulation for the continuous systems, which have great importance in classical mechanics.

Contents: Basic principles of classical mechanics, Velocity dependent potentials and dissipation function, Variation principles and Lagrange equations, Lagrangian dynamics and simple applications, Two body central force problem, Virial theorem, Kepler problem, Small oscillations, Special relativity in classical mechanics, Four dimensional covariant formulation, Lagrange formulation of the special relativity

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Classical Mechanics, H. Goldstein, Addison-Wesley Publishing Company, 2nd Ed., 1980. Pergamon Press, 3rd

Ed., 1976. Theoretical Mechanics of Particles and Continua, L.Fetter and J. D. Walecka, McGraw-Hill, 1980. Mechanics, L. D. Landau and E. M. Lifshitz, The Variational Principles of Mechanics, C. Lanchoz, University of Toronto Press, 4th Ed., 1970. Classical Dynamics of Particles and Systems, J. B. Marion, Academic Press, 2nd Ed., 1970. ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHYS 544 Course Title: Statistical Mechanics II Level: Graduate Year: Semester: Fall ECTS Credit: 12 Status: Compulsory HoursAVeek: T. (3+0) Total Class Hours: 14 weeks * 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES PHYS 323, PHYS 324 (Undergraduate)

DESCRIPTION :

Objectives:

Learning outcomes:

Contents:

Grand Canonical Description of Ideal Quantum Systems

The Ideal Bose Gas; Ultrarelativistic Bose gas

Ideal Fermi Gas; The degenerate Fermi gas; Supplement: Natural units

Real Gases and Phase Transitions; For absorption: Mayer’s cluster expansion; Virial expansion

Classification of Phase transitions; Theorem of corresponding states; Critical indices; Examples for phase

transitions

The Models of Ising and Heisenberg

TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. All class members are expected to

attend the lecture hours and take part in the discussion subjects. Besides the taught lecture, group

presentations are to be prepared by the groups assigned for that week and presented to open a discussion

session.

TEXTBOOK

W. Greiner, L. Neise, and H. Stvcker: Thermodyamics and Statistical Mechanics. Springer-Verlag, New York 1995.

REFERENCES BOOKS

R K Pathria, Statistical Mechanics, 2nd edition, Butterworth-Heinemann, 1996.

Toda, R. Kubo, and H. Saito, Statistical Physics, 2nd edition, Springer-Verlag. M. Plischke and B. Bergensen,

Equilibrium Statistical Physics, 2nd edition, World-Scientific.

ASSESSMENT Final(20%), Mid-term (20%), and Homework (60%)

Course Code: PHYS 545 Course Title: Statistical Mechanics I Level: Graduate Semester: Fall ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES PHYS 323, PHYS 324 (Undergraduate)

DESCRIPTION :

Objectives: A two-semester course on statistical mechanics. PHYS 545 includes: Laws of thermodynamics;

kinetic theory; Boltzmann transport equation; Liouville's theorem; fundamental postulates of classical and

quantum statistical mechanics; microcanonical, canonical and grand canonical ensembles; PHYS 544 includes:

Applications to gases, liquids and solids, Ising model and applications of computational methods.

Learning outcomes:

Statistical Mechanics provides the microscopic basis for thermodynamics, which, otherwise, is just a

phenomenological theory.

Microscopic basis allows calculation of a wide variety of properties not dealt with in thermodynamics, such as

structural properties, using distribution functions, and dynamical properties - spectra, rate constants, etc., using

time correlation functions.

Because a statistical mechanical formulation of a problem begins with a detailed microscopic description,

microscopic trajectories can, in principle and in practice, be generated providing a window into the microscopic

world. This window often provides a means of connecting certain macroscopic properties with particular modes

of motion in the complex dance of the individual atoms that compose a system, and this, in turn, allows for

interpretation of experimental data and an elucidation of the mechanisms of energy and mass transfer in a

system.

Contents: Thermodynamics- Thermal equilibrium, the laws of thermodynamics; temperature, energy, entropy, and other functions of state. Probability theory- Probability densities, cumulants and correlations; central limit theorem; laws of large numbers. Kinetic theory- Phase space densities; Liouville's theorem, BBGKY hierarchy, the Boltzmann equation; transport phenomena. Classical Statistical Mechanics- Postulates; microcanonical, canonical and grand canonical ensembles; non-interacting examples. Interacting systems- Virial and cluster expansions; van der Waals theory; liquid-vapor condensation. Quantum Statistical Mechanics- Density operator; Fundamentals; Pure and mixed states; Properties of the density matrix; The density operators of quantum statistics The Symmetry Character of Many-Particle Wavefunctions TEACHING AND LEARNING METHOS




session.

TEXTBOOK

W. Greiner, L. Neise, and H. Stvcker: Thermodyamics and Statistical Mechanics. Springer-Verlag, New York 1995.

REFERENCES BOOKS

R K Pathria, Statistical Mechanics, 2nd edition, Butterworth-Heinemann, 1996.

Toda, R. Kubo, and H. Saito, Statistical Physics, 2nd edition, Springer-Verlag.

M. Plischke and B. Bergensen, Equilibrium Statistical Physics, 2nd edition, World-Scientific.


Course Code: PHY 549 Course Title: Quantum Theory I Level: Graduate Semester: Fall ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES

Intermediate level of complex analysis, advanced level of calculus and differential equations. DESCRIPTION

Objectives: The course aims to develop basic insights related to quantum mechanical properties of the systems at molecular scale.

Learning outcomes:

To develop the students’ mathematical abilities widely used in quantum mechanics and ability to learn how to approach to a quantum mechanical problem.

Contents:

Foundations of quantum mechanics: Schrödinger eqaution, Abstract Operator Formalism in Hilbert Space, Properties of Operators, Special Problems in One Dimension, Higher Dimensional Systems, Angular Momentum and Related Algebras, TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Molecular Quantum Mechanics (2nd Edition), P.W. Atkins, Oxford University Press, 1983, Oxford. ASSESSMENT


Course Code: PHY 550 Course Title: Quantum Theory II Level: Graduate Semester: Spring ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. =42 h

44444242hInstructor: To be announced Instruction Language: Turkish PREREQUISITIES

PHY 549 Kuantum Teorisi-I

Intermediate level of complex analysis, advanced level of calculus and differential equations. DESCRIPTION

Objectives: The course aims to develop basic insights related to quantum mechanical properties of the systems at molecular scale.

Learning outcomes:

To develop the students’ mathematical abilities widely used in quantum mechanics and ability to learn how to approach to a quantum mechanical problem.

Contents: Group Theory, Techniques of Approximation, Atomic and Molecular Spectra, Electronic Structure of Many-Body Systems TEACHING AND LEARNING METHOS

The course is taught in a lecture, class presentation and discussion format. TEXTBOOK Molecular Quantum Mechanics (2nd Edition), P.W. Atkins, Oxford University Press, 1983, Oxford. ASSESSMENT


Course Code: PHY 551 Course Title: Mathematical Physics I Level: Graduate Semester: Spring ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES Non DESCRIPTION

Objectives: The course aims to provide an introduction to theoretical and practical understanding of the mathematical techniques used in advanced physics.

Learning outcomes:

To give the philosophy and mathematical techniques of the physical problems.

To develop the students abilities to solve the advanced physical problems.

Contents: Vectorel Analysis, Vector Analysis in curved coordinates and tensors, Determinants and matrices, Group Theory, Infinite Series, Functions of a complex variable I: Analytic properties mapping, Functions of a complex variable II: Analytic properties mapping. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK Mathematical Methods for Physicists (G.B.Arfken, H.J.Weber, fourth ed.) Other useful books: Mathematical Physics (S.Hassani), Mathematical Methods in Physics (S.D.Lindenbaum), Introduction to Mathematical Physics (C.W.Wong). Special Functions For Scientists and Engineers (W.W.Bell) ASSESSMENT

- Homework - Midterm Exam - Final Exam - Term Paper

Course Code: PHY 552 Course Title: Mathematical Physics II Level: Graduate Semester: Spring ECTS Credit: 12 Status: Compulsory Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION

Objectives: The course aims to provide an introduction to theoretical and practical understanding of the mathematical techniques used in advanced physics.

Learning outcomes:

To give the philosophy and mathematical techniques of the physical problems.

To develop the students abilities to solve the advanced physical problems.

Contents: Differantial Equations, Sturm-Liouville Theory – Orthogonal Functions, The Gamma Functions, Bessel Functions, Legendre Functions, Special Functions, Fourier Series, Integral Transforms. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK Mathematical Methods for Physicists (G.B.Arfken, H.J.Weber, fourth ed.) Other useful books: Mathematical Physics (S.Hassani), Mathematical Methods in Physics (S.D.Lindenbaum), Introduction to Mathematical Physics (C.W.Wong). Special Functions For Scientists and Engineers (W.W.Bell) ASSESSMENT


Course Code: PHY 557 Course Title: Physics of Low-Dimensional Semiconductor Structures-I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The object of this course is to present the central principles of the classical mechanics. Objectives: In recent years there have been remarkable advances in high technology that have revolutionized telecommunications, computing , and information circuits, microprocessors, and electromagnetic radiation detectors and emitters have played key roles in this revolution. In large measure these devices are based upon semiconductors as the active materials. Learning outcomes:

To understand the physics of low dimensional semiconductor structures

To give the student insight of new technology of semiconductors

Contents. Electronic Properties in Semiconductor Heterostructures, Basic Electronic Properties in Quantum Wells, Interface Effects on Electrons, Types of Superlattices, Electrons in Short-Period Superlattices, Effects of Magnetic Fields, Electron Self-Energy Effects in a Doped Quantum Well, Photoluminescence in Updoped and Doped Quantum Wells, Phonons in Low-Dimensional Systems, . Raman Investigations of Superlattices, Theory of Electron Transport in Low-Dimensional Semiconductor Structures, Quantum Size Effects in the Transport Coefficients, Quantum Corrections to the Boltzmann Transport Formalism, . Thermal and Electrical Transport Formalism for Electronic Microstructures with Many Terminals, The Aharonov-Bohm Effects, Quantum Point Contacts, and the Integer Quantum Hall Effect, Quantum Wires and Quantum Dots, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Physics og Low-Dimensional Semiconductor Structures, Paul Butcher, Norman H. March, Mario P. Tosi, Plenum Press, New York and London. Semiconductor Phyiscs and Applications M. Balkanski and, R.F. Wallis Oxford University Press ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 558 Course Title: Physics of Low-Dimensional Semiconductor Structures-II Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION The object of this course is to present the central principles of the classical mechanics. Objectives: In recent years there have been remarkable advances in high technology that have revolutionized telecommunications, computing , and information circuits, microprocessors, and electromagnetic radiation detectors and emitters have played key roles in this revolution. In large measure these devices are based upon semiconductors as the active materials. Learning outcomes:

To understand the physics of low dimensional semiconductor structures

To give the student insight of new technology of semiconductors

Contents. Electronic Properties in Semiconductor Heterostructures, Basic Electronic Properties in Quantum Wells, Interface Effects on Electrons, Types of Superlattices, Electrons in Short-Period Superlattices, Effects of Magnetic Fields, Electron Self-Energy Effects in a Doped Quantum Well, Photoluminescence in Updoped and Doped Quantum Wells, Phonons in Low-Dimensional Systems, . Raman Investigations of Superlattices, Theory of Electron Transport in Low-Dimensional Semiconductor Structures, Quantum Size Effects in the Transport Coefficients, Quantum Corrections to the Boltzmann Transport Formalism, . Thermal and Electrical Transport Formalism for Electronic Microstructures with Many Terminals, The Aharonov-Bohm Effects, Quantum Point Contacts, and the Integer Quantum Hall Effect, Quantum Wires and Quantum Dots, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Physics og Low-Dimensional Semiconductor Structures, Paul Butcher, Norman H. March, Mario P. Tosi, Plenum Press, New York and London. Semiconductor Phyiscs and Applications M. Balkanski and, R.F. Wallis Oxford University Press ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 559 Course Title: Semiconductors I Level: Graduate Semester: Fall ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Semiconductors take very important portion of solid state physics. Their physical properties and theoretical modeling will be considered in the lectures. Objectives: To introduce the semiconductors, their physical properties and theoretical modeling to solve the electronic structures. Learning outcomes:

To understand the structure of semiconductors

To be able to do calculations related electronic structure of semiconductors

Contents: Free electron theory of metals, Brillion zone, Band gap and Fermi surfaces, Semi classical theory of conduction, Effective mass, Motion of charged particles in field, Hall effect, Pure and impure semiconductors, Carrier concentration, P-N junction, Introduction to optical properties, Heterojuctions, Superlattices,

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs R.A Smith, Semiconductors, Cambridge University Pres(1977) Donald A.Naemen, Semiconductor Physics and Devices ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 560 Course Title: Semiconductors II Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Semiconductors take very important portion of solid state physics. Their physical properties and theoretical modeling will be considered in the lectures. Objectives: To introduce the semiconductors, their physical properties and theoretical modeling to solve the electronic structures. Learning outcomes:

To understand the structure of semiconductors

To be able to do calculations related electronic structure of semiconductors

Contents: Si and its technology, Wafer growth, GaAs, basic properties and optoelectronics, Semiconductor Lasers, III-IV Semiconductors, GaP,InSb, GaN, Quantum Wells and heterostructures, Low dimentional Structures,

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs R.A Smith, Semiconductors, Cambridge University Pres(1977) Donald A.Naemen, Semiconductor Physics and Devices ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHYS 561 Course Title: Phase Transitions and Critical Phenomena I Level: Graduate Semester: Fall ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES PHYS 323, PHYS 324 (Undergraduate) , Objectives: This course will present a basic description of phase transitions and critical phenomena in a variety

of condensed matter systems. Furthermore, the classical models will be descipted for fluid and magnetic

systems.

Contents:

PHYS 569 Phase Transitions and Critical Phenomena I

What are the critical phenomena? A survey of some basic results

Useful thermodynamic relations for fluid and magnetic systems

Critical – point exponents and rigorous relations among them

The Van der Waals theory of liquid – gas phase transitions

The Mean Field Theory of magnetic phase transitions

The pair correlation functions and the Ornstein – Zernike theory

Models of fluid and magnetic phase transitions





session.

TEXTBOOK

Stanley, H. Eugene, Phase Transitions and Critical

Phenomena, Oxford University Pres, London, 1971.

REFERENCES BOOKS

1 - Landau, L.D., Lifshitz, E.M. (2. ed.) Statistical Physics, Pergamon Press, Oxford, 1969

2 - Montroll, E.W., Statistical Physics, Phase Transitions,and Superfluidity, Vol. 2, Gordon and Breach, New

York, 1968.

ASSESSMENT: Final(20%), Mid-term (20%), and Homework (60%)

Course Code: PHYS 562 Course Title: Phase Transitions and Critical Pheonema II Level: Graduate Semester: Fall ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES PHYS 323, PHYS 324 (Undergraduate)

DESCRIPTION :

Objectives:

Learning outcomes:

Contents:

Results obtained from model systems by approximation methods Landau’s classic theory of exponents Scaling law hypothesis for thermodynamic functions Scaling of the static correlation functions Introduction to dynamic critical phenomena in fluid systems Measurements of the dynamic structure factor for fluid systems Dynamic scaling laws and the mode – mode coupling approximation TEACHING AND LEARNING METHOS




session.

TEXTBOOK Stanley, H. Eugene, Phase Transitions and Critical Phenomena, Oxford University Pres, London, 1971. REFERENCES BOOKS 1 - Landau, L.D., Lifshitz, E.M. (2. ed.) Statistical Physics, Pergamon Press, Oxford, 1969 2 - Montroll, E.W., Statistical Physics, Phase Transitions,and Superfluidity, Vol. 2, Gordon and Breach, New York, 1968.


Course Code: PHY 563 Course Title: Liquid Crystals I Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION To provide students with an understanding of the basic physics of liquid crystalline materials, their properties and applications. Objectives: Learning outcomes:

The nature of the liquid crystalline state its relation to molecular structure Liquid crystal phases Describe the basic features of liquid crystalline material. Explain the origin of their optical, electrical and thermal properties using simple microscopic models. Identify the use of various experimental methods for the study of specific properties of liquid crystalline materials

Contents: The syllabus includes the following: an introduction to liquid crystalline materials and their applications, liquid crystals phases (Nematic, smectic, cholesteric) and their properties.. Thermotropic and lyotropic systems; monodomain and polydomain structures. The optical properties of anisotropic materials - the nematic phase experimental methods used to study liquid crystals, microscopic models of liquid crystals, continuum models of liquid crystals, bulk properties, curvature elasticity, surface effects, dielectric anisotropy, the effects of electric and magnetic fields.

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Liquid Crystals, H. Stegemeyer, Guest Ed., Steinkopff Darmstadt Springer New York, 1994 Liquid Crystals, S. Chandrasekhar, Cambridge University Press, London, 1977 ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 564 Course Title: Liquid Crystals II Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES PHY 563 Liquid Crystals I DESCRIPTION To introduce students to the physics underlying LCDs. Objectives: To be able to describe the main display application of liquid crystals and the principle involved. Learning outcomes:

Describe and explain the function of the basic liquid crystal displays (LCD). Understand the operation of liquid crystal displays. Understand how molecular structures lead to LCD Understand how basic physical principles lead to LCD Understand a range of electro optic, magneto optic

Contents: Liquid crystal materials and liquid crystals cells, electro-optic effect of LC, polarization, nematic liquid crystal displays, bistable liquid crystal displays, passive matrix displays, addressing, liquid crystals displays on silicon, colour filters and cell assembly, projectors with liquid crystal light valves, liquid crystal displays with plastic subsrates, printing of layer for LC-cells.

TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Liquid Crystal Displays, Ernst Lueder, John Wiley&Sons, LTD, 2001 ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 565 Course Title: Nonlinear Dynamics and Chaos I Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None DESCRIPTION

Objectives: The aim of this course is to investigate behavior of the nonlinear dynamical systems and provide an introduction to theoretical and practical understanding of the chaos used in advanced physics.

Learning outcomes:

Explain and discuss the formalism of the chaotic dynamics.

Direct to the students advanced research subjects.

Contents: Linear and Nonlinear Systems, Three Chaotic Systems: A Nonlinear Electrical System, A Mathematical Model of Biological Population Growth, A Model of Convecting Fluids: The Lorentz Model, The Universality of Chaos, The Feigenbaum Numbers, Self-Similarity, Systems Described by First-Order Differantial Equations, Dissipative Systems, Dissipation and the Divergence Theorem, Bifurcation Theory, Three-dimensional Dynamical Systems, Quasi-Periodic Behavior, Lyapunov Exponents and Chaos, Poincaré Sections and Iterated Maps, One-dimensional Iterated Maps, Bifurcations in Iterated Maps: Periodic Doubling, Chaos and Lyapunov Exponents, Quasi-Periodicity and Chaos, Quasi-Periodicity and Poincaré Sections, Intermittency and Crises, Hamilton Equations and the Hamiltonian, Nonintegrable Systems, the KAM Theorem, Applications of Hamiltonian Dynamics. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK Chaos and Nonlinear Dynamics, Robert C. Hilborn, Oxford Uni. Press, 2001. Nonlinear Dynamics and Chaos, Steven H. Strogatz, Perseus Publs. 1994. Nonlinear Dynamics, Mathematical Biology and social sciences, Joshua M. Epstein, Perseus Publs., 1997. Nonlinear Dynamics, Alfredo Medio, Marji Lines, Cambridge Uni.Press, 2001. Introduction to Nonlinear Dynamics for Physicists , Henry D.I. Abarbanal, World Scientific, 1993. Method of Qualitative Theory in Nonlinear Dynamics Part 1, L.P. Shilnikov (ed). World Scientific, 2002. Method of Qualitative Theory in Nonlinear Dynamics Part 2, L.P. Shilnikov (ed). World Scientific, 2002. Nonlinear Dynamics, M.Lakshmanan et al. Springer Verlag, 2002. ASSESSMENT


Course Code: PHY 566 Course Title: Nonlinear Dynamics and Chaos II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None DESCRIPTION Objectives: The aim of this course is to investigate behavior of the nonlinear dynamical systems and provide an introduction to the relation between chaos theory, pattern formation and complexity.

Learning outcomes:

Explain and discuss the formalism of the chaotic dynamics.

Direct to the students advanced research subjects. Contents: Vectorel Analysis, Time-Series of Dynamical Variables, Lyapunov Exponents, Universal Scaling of the Lyapunov Exponent, Kolmogorov-Sinai Entropy, Fractal Dimension(s), Correlation Dimension, Embedding Spaces, Generalized Dimensions and Generalized Correlation Sums, Multifractals and the Spectrum of Scaling Indices, Generalized Entropy and the Spectrum, Characterizing Chaos via Periodic Orbits, Statistical Mechanics and Thermodynamic Formalism, Two-Dimensional Fluid Flow, Coupled-Oscillator Models and Cellular Automata, Transport Models, Reaction-Diffusion Systems, Diffusion-Limited Aggregation, Dielectric Breakdown, Viscous Fingering, Self-Organized Criticality, Quantum Mechanics and Chaos, Chaos and Algorithmic Complexity TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOKs Chaos and Nonlinear Dynamics, Robert C. Hilborn, Oxford Uni. Press, 2001. Nonlinear Dynamics and Chaos, Steven H. Strogatz, Perseus Publs. 1994. Nonlinear Dynamics, Mathematical Biology and social sciences, Joshua M. Epstein, Perseus Publs., 1997. Nonlinear Dynamics, Alfredo Medio, Marji Lines, Cambridge Uni.Press, 2001. Introduction to Nonlinear Dynamics for Physicists , Henry D.I. Abarbanal, World Scientific, 1993. Method of Qualitative Theory in Nonlinear Dynamics Part 1, L.P. Shilnikov (ed). World Scientific, 2002. Method of Qualitative Theory in Nonlinear Dynamics Part 2, L.P. Shilnikov (ed). World Scientific, 2002. Nonlinear Dynamics, M.Lakshmanan et al. Springer Verlag, 2002. ASSESSMENT


Course Code: PHY 567 Course Title: Stochastic Processes in Physics I Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Objectives: In this course, the concepts and formulations of stochastic processes are discussed. Topic will include stochastic variables, central limit theorem, random events, correlation functions, waiting times, Fourier transformation of stable processes, Markov Processes, Chapman-Kolmogorov equation, Stationary Markov processes, Master Equation, Detailed balance’ teoremi, One-step processes, Poisson process, Random walk with contionus time, Linear one-step processes, Nonlinear one-step processes, Chemical Reactions, Kinematics of chemical reactions, synamics of chemical reactions, Stable solutions, open systems, Collective systems Learning outcomes:

1. Explain and discuss the formalism of the stochastic process.

2. Direct to the students advanced research subjects.

Contents: Stochastic Variables, Central Limit Theorem, Random Events, Correlation Functions, Waiting times, Stochastic Processes, Fourier transformation of stable processes, Markov Processes, Chapman-Kolmogorov equation, Stationary Markov processes, Master Equation, Detailed balance’ teoremi, One-step processes, Poisson process, Random walk with contionus time, Linear one-step processes, Nonlinear one-step processes, Chemical Reactions, Kinematics of chemical reactions, synamics of chemical reactions, Stable solutions, open systems, Collective systems. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOKs Stochastic Processes in Physics and Chemistry, N.G. Van Kampen, North-Holland 1992. Handbook of Stochastic Methods, C.W.Gardiner, Springer Verlag, 1990. Fokker-Planck Equation, H.Risken, Springer Verlag1998 ASSESSMENT


Course Code: PHY 568 Course Title: Stochastic Processes in Physics II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES Stochastic Processes in Physics I DESCRIPTION Objectives: In this course, the concepts and formulations of stochastic processes are discussed. Topic will include Fokker-Planck equation, Langevin equation, diffusion processes. Learning outcomes:

3. Explain and discuss the formalism of the stochastic process.

4. Direct to the students advanced research subjects. Contents: Fokker-Planck Equation, Derrivative of Fokker-Planck equation, Brownian motion, Langevin Approach, Disscusion of Ito-Stratonovich dillema, Expansion of Master Equation, Diffusion Type processes, Diffusion in a external field, Diffusion in inhomogeneus media, First-Passage Problems, Boundary conditions, Diffusion in higher dimensions, critical fluctuations, Unstable systems. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOKs Stochastic Processes in Physics and Chemistry, N.G. Van Kampen, North-Holland 1992. Handbook of Stochastic Methods, C.W.Gardiner, Springer Verlag, 1990. Fokker-Planck Equation, H.Risken, Springer Verlag1998 ASSESSMENT


Course Code: PHYS 569 Course Title: Fluid Mechanics I Level: Graduate Semester: Fall ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None

DESCRIPTION :

Objectives:

The course treats the theory of the motion of liquids and gases. The texbook opens with the theory of ideal fluids and drives the attention of the reader to a large amount of topics, which are discussed in greater detail and, moreover, discussing with details topics not usually found in other similar books, such as turbulence, sound, fluid dynamics of combustion, relativistic fluid dynamics and the dynamics of superfluids. The book is written in a language proper of a theoretical physicist, but owing to its clarity, it can be read without problems for other scientists

Learning outcomes:

Contents:

Ideal Fluids Viscous Fluids Turbulence Thermal Conduction in Fluids Diffusion TEACHING AND LEARNING METHOS




session.

TEXTBOOK Lifshitz, E. M., Landau, L. D., (2. ed.), Fluid Mechanics, Butterworth – Heinemann, London, 1987. REFERENCES BOOKS Granger, Robert A., Fluid Mechanics, Dover Pubns., London, Montroll, E.W., Statistical Physics, Phase Transitions,and Superfluidity, Vol. 2, Gordon and Breach, New York, 1968.


Course Code: PHYS 570 Course Title: Fluid Mechanics II Level: Graduate Year: Semester: Fall ECTS Credit: 8 Status: Selective HoursAVeek: T. (3+0) Total Class Hours: 14 weeks * 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None

DESCRIPTION :

Objectives:

Learning outcomes:

Contents:

Sound One – Dimensional Gas Flow Two – Dimensional Gas Flow Relativistic Fluid Dynamics Dynamics of Superfluids TEACHING AND LEARNING METHOS




session.

TEXTBOOK Lifshitz, E. M., Landau, L. D., (2. ed.), Fluid Mechanics, Butterworth – Heinemann, London, 1987. REFERENCES BOOKS Granger, Robert A., Fluid Mechanics, Dover Pubns., London, Montroll, E.W., Statistical Physics, Phase Transitions,and Superfluidity, Vol. 2, Gordon and Breach, New York, 1968.


Course Code: PHY 571 Course Title: Computational Physics I Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None DESCRIPTION Objectives: Computational Physics is one of the most important area of the physics such as theoretical or experimental physics. In this sense, tools and techniques of computational physics are considered in this course. Numeric and simulation methods are introduced during course, and also some of the physical problems how to solve using computational methods are discussed. Learning outcomes:

To give the philosophy between computational analysis and physical problems.

To develop the students computational abilities to solve the physical problems using some Computer Languages as numerical and other simulation techniques.

Contents: Introduction, Physics and computational physics, Statistics in Computation problems, Least Square Method, Non-Linear Fitting, Hypothesis Test, Goodness of Fit Tests, Random number generators, Special Distributions, General Techniques, Numerical Methods, Iterative procedures for special functions, Finding the root of a functions, Finding optimum of a function, Discretisation, Linear algebra problems, differential equations, Fourier Transform, Some applications TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOKs Computational Physics, J.M. Thijssen, Cambridge Pres. 1999. Computational Physics (R.H.Landau, M.J.P Meji) Monte Carlo Methods in Statistical Methods (M.E.J.Newman, G.T.Barkema) Random Number Generation and Monte Carlo Methods (J.E.Gentle) Stochastic Simulation in Physics (P.K.MacKeown) Computer Simulation Using Particles (R.W.Hockney, J.W.Eastwood) Monte Carlo Simulation in Statistical Physics (K.Binder) Monte Carlo Simulation in Statistical Physics (Ed: K.Binder) Numerical Methods for Physics (A.L.Garcia) Computational Physics (N.J.Giordano). An Introduction to Computer Simulation Methods (H.Gould, J. Tobochnik) ASSESSMENT


Course Code: PHY 572 Course Title: Computational Physics II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None DESCRIPTION Objectives: Computational Physics is one of the most important area of the physics such as theoretical or experimental physics. In this sense, tools and techniques of computational physics are considered in this course. Numeric and simulation methods are introduced during course, and also some of the physical problems how to solve using computational methods are discussed. Learning outcomes:

To give the philosophy between computational analysis and physical problems.

To develop the students computational abilities to solve the physical problems using some Computer Languages as numerical and other simulation techniques.

Contents: Molecular Dynamics Simulations, Integration methods- symplectic integration, Verlet algorithm, Molecular dynamics methods for different ensembles, Molecular systems, Long range interactions, .Langevin Dynamic simulations, Quantum Molecular Dynamics, Orthonormalisation: conjugate gradient techniques, Monte Carlo Simulation Methods, Some applications, Transfer Matrix Method, Quantum Monte Carlo Methods, The variational Monte Carlo Method, Diffusion Monte Carlo, Path integral MC, Quantum MC on a lattice, Cellular Automata, High Performance computing and Parallelism. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOKs Computational Physics, J.M. Thijssen, Cambridge Pres. 1999. Computational Physics (R.H.Landau, M.J.P Meji) Monte Carlo Methods in Statistical Methods (M.E.J.Newman, G.T.Barkema) Random Number Generation and Monte Carlo Methods (J.E.Gentle) Stochastic Simulation in Physics (P.K.MacKeown) Computer Simulation Using Particles (R.W.Hockney, J.W.Eastwood) Monte Carlo Simulation in Statistical Physics (K.Binder) Monte Carlo Simulation in Statistical Physics (Ed: K.Binder) Numerical Methods for Physics (A.L.Garcia) Computational Physics (N.J.Giordano). An Introduction to Computer Simulation Methods (H.Gould, J. Tobochnik) ASSESSMENT


Course Code: PHY 573 Course Title: Nuclear Physics I Level: Graduate Semester: Fall ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION

Objectives: To gain the fundamental knowledge about subatomic structure of matter and nuclear processes as well as about the regularities that are specific for nuclear transmutations and interactions of radiation with matter; in addition - about the meaning of nuclear physics in practice and its role in the Universe.

Learning outcomes:

Upon completion of this course, students expected to be able to learn:

1. State, in simple terms, the experimental evidence leading to the replacement of the Thomson model of the atom with the Rutherford model and later models.

2. Define the terms 'atomic number' and 'mass number', and be able to use them, together with a chemical symbol, to define a nuclide.

3. Explain that many nuclides are unstable and that these nuclides decay. 4. Complete equations relating the parent to the daughter product for alpha, beta and gamma decay. 5. Perform calculations involving activity, half-life and time, but not the decay constant. 6. Describe how radioactive materials may be used in contextual applications and how the properties of

radiation may be used to detect their presence in a simple device such as a Geiger counter or scintillation counter.

7. Explain the principle of a neutron-induced chain reaction and critical mass configuration. 8. Describe the short- and long-term advantages and disadvantages of both nuclear and conventional

power stations and other applications of nuclear technology.

Contents: Basic concepts, elements of quantum mechanics, nuclear properties, the force between nucleon, nuclear models, nuclear decay and radioactivity, nuclear reaction, neutron physics, nuclear fission and fusion, accelerators, nuclear spin and moments, meson physics, particle physics, application of nuclear physics.


Lectures TEXTBOOK Introductory Nuclear Physics, Kenneth S. Krane, John Wiley & Sons, 1988 Nuclear Physics, Samuel S. M. Wong, John Wiley & Sons, 1988 ASSESSMENT Mid-term I (20%) Mid-term II (20%) and Final (60%)

Course Code: PHY 574 Course Title: Nukleer Physics II Level: Graduate Semester: Spring ECTS Credit: 8 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION

Objectives: The aim of the course is to provide the student with the basic phenomenology of the subatomic world. The course presents concepts and properties of nuclear and particle physics emphasizing the unifying ideas, the common tools and the unsolved problems.

Learning outcomes: Upon completion of this course, students expected to be able to learn:

1. recognise and discuss the nuclear reaktions 2. apply quantum mechanics to the transitions between atomic states and to explain the origin of selection

rules. 3. recognise and discuss the basic physics of simple nuclear models and explain how the single particle

shell model can be used to predict nuclear spins, parities and magnetic moments. 4. discuss nuclear stability and decay processes, in particular beta decay and the non conservation of parity

in beta decay. 5. discuss nuclear fission and fusion. 6. Explain the principle of accelerators. 7. to be able to solve problems and perform elementary calculations on these topics.

Contents: Nuclear reactions, neutron physics, nuclear fission and fusion, accelerators, nuvlear spin and moments, meson physics, particle physics, applications of nuclear physics.


Lectures TEXTBOOK Introductory Nuclear Physics, Kenneth S. Krane, John Wiley & Sons, 1988 Nuclear Physics, Samuel S. M. Wong, John Wiley & Sons, 1988 ASSESSMENT Mid-term I (20%) Mid-term II (20%) and Final (60%)

Course Code: PHY 575 Course Title: Non-equilibrium Statistical Mechanics I Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES None DESCRIPTION Objectives: In this course, the concepts and formulations of nonequlibrium statistical mechanics are discussed. Topic will include theroy of Brownian motion, The Boltzman Equation, time-correlated function formalism, Liouville’s Equation, Markovian process, The Green-Kubo formulae, Fokker-Planck equation, Navier-Stokes equation, . Nonlinearity , etc.

Learning outcomes:

Explain and discuss the formalism of the nonequilibrium statistical mechanics.


Contents: Introduction to nonequilibrium systems, The law of large numbers and the laws of mechanics, The Boltzman Equation, Boltzman’s H-Theorem, Liouville’s Equation, The Quantum Liouville operator, Boltzman’s ergodic hypothesis, Non-ergodic hypotesis, Gibbs’ Picture: mixing systems, The Green-Kubo formula, Dynamic Linear Response , Projection Operators, Nonlinearity


Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK Non-Equilibrium Statistical Mechanics, Robert Zwanzig, Oxford ni. Pres, 2002. An Introduction to Chaos in Non-Equilibrium Statistical Mechanics, J.R. Dorfman, ambridge Uni Pres. 1999. Non Equlibrium Statistical Mechanics of Heterogeneous Fulid Systems, Andrei G. Bashkirov, CRC Pres, 1995. Non Equilibrium Thermodynaics, Yasar Demirel, Elsevier, 2002 ASSESSMENT


Course Code: PHY 576 Course Title: Non-equilibrium Statistical Mechanics II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES Non-Equilibrium Statistical Mechanics I DESCRIPTION Objectives: In this course, the concepts and formulations of nonequlibrium statistical mechanics are discussed. Topic will include theroy of Backer’ transformation, Lyapunov exponents, Kolmogrov-Sinai Entropy, Frobeniıs-Perron Equation, Open systems and escape rates, Sinai-Ruelle-Bowen and Gibbs Measures, Dynamical foundations of the Boltzman equation etc. Learning outcomes:

Explain and discuss the formalism of the nonequilibrium statistical mechanics.


Contents: The Backer’s Transformation, Lyapunov exponents, Backer’s Map and Toral Automorphisms, Kolmogrov-Sinai Entropy, Open Systems and Escape Rates, Sinai-Ruelle-Bowen and Gibbs Measures, Fractal Forms in Green-Kubo Relations, Unstable Periodic Orbits, Lorentz Lattice Gases, Dynamical foundations of the Boltzman equation TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK Non-Equilibrium Statistical Mechanics, Robert Zwanzig, Oxford ni. Pres, 2002. An Intro. to Chaos in Non-Equilibrium Statistical Mechanics, J.R. Dorfman, ambridge Uni Pres. 1999. Non Equlibrium Statistical Mechanics of Heterogeneous Fulid Systems, Andrei G. Bashkirov, CRC Pres, 1995. Non Equilibrium Thermodynaics, Yasar Demirel, Elsevier, 2002 ASSESSMENT


Course Code: PHY 577 Course Title: Complex Systems I Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: Dr. Ekrem Aydıner Instruction Language: English PREREQUISITIES None DESCRIPTION Objectives: In this lecture, complex systems are considered and relation between chaotic behavior of dynamical systems and complexity are discussed. Also mathematical fundematals of the complexity theory is reviewed during the course.

Learning outcomes:

5. Explain and discuss between chaotic behavior of dynamical systems and complexity.


Contents: Simplicity and Complexits, Number Systems and Infinity, Computability and Incomputability, Computation, Self-similarity and Fractal Geometry, L-Systems and Fractal Growth, Afine Transformation Fractals, The Mandelbrot Set and Julia Sets, Fractals, Nonlinear Dynamics in Simple Maps, Nonlinear Dynamics in Simple Maps, Strange Attractors, Producer-Consumer Dynamics, Controlling Chaos, Chaos. TEACHING AND LEARNING METHOS

Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK The Computational Beauty of Nature, Computer Exploration of Fractal, Shaos, Complex Systems and Adaptations, Gary William Flake. MIT pres, 1998. Dynamics of Complex Systems, Yaneer Bar-Yam, Westview Pres, 1997. Information and Self organization, Hermann Haken, Springer-Verlag, 2000. Cellular Automata and Complex Systems, Eric Golez (ed.), Kluwer Acad. Publs. 1999. Evolution of Complex Systems, R.Feistel, W.Ebeling, Kluwer Acad. Publs. 1989. From Biology to Sociopolitics, Heinz Herrmann, Yale Uni. 1998 Complex Systems, T.R.J. Bossomaier , D.E. Gren (eds). Cambridge Uni. 1999. ASSESSMENT


Course Code: PHY 578 Course Title: Complex Systems II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: English PREREQUISITIES PHY-583 Complex Systems I DESCRIPTION Objectives: In this lecture, some complex systems and some analysing technics are considered, and also biological systems and adaptation problems are discussed. On the other hand, mathematical fundematals of the complexity theory is reviewed during the course.

Learning outcomes:

7. Explain and discuss biological systems and adaptation problems.


Contents: Cellular Automata, Autonomous Agents and Self Organization, Competititon and Cooperation, Natural and Analog Computation, Complex Systems, Genetics and Evolution, Classifier Systems, Neural Networks and Learning, Adoptation.


Didactic lectures are given to the whole semester supported by tutorials, example problems, assignments and exams. TEXTBOOK The Computational Beauty of Nature, Computer Exploration of Fractal, Shaos, Complex Systems and Adaptations, Gary William Flake. MIT pres, 1998. Dynamics of Complex Systems, Yaneer Bar-Yam, Westview Pres, 1997. Information and Self organization, Hermann Haken, Springer-Verlag, 2000. Cellular Automata and Complex Systems, Eric Golez (ed.), Kluwer Acad. Publs. 1999. Evolution of Complex Systems, R.Feistel, W.Ebeling, Kluwer Acad. Publs. 1989. From Biology to Sociopolitics, Heinz Herrmann, Yale Uni. 1998 Complex Systems, T.R.J. Bossomaier , D.E. Gren (eds). Cambridge Uni. 1999. ASSESSMENT


Course Code: PHY 582 Course Title: Advanced Molecular Physics Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION To study the molecular structure is getting more and more possible due to the improvement on computer technologies and the new techniques to solve the interacting many particle systems. In this course the molecular structure will be discussed and new advances will be introduced. Objectives: Having concepts of quantum mechanics during the course the molecular structure will be analyzed and experimental results are compared with theories. Learning outcomes:

1. To understand the structure of molecules

2. To be able to do calculations related electronic structure of molecules

3. To gain new techniques toward the solution of many particle systems

Contents: H2 Molecule, Hartree-Fock Method, Single partical solutions, Density functional theory TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Bransden, B.H., and Joachain , C. J. (1983) Physics of Atoms and Molecules. Longman , London R.M. Dreizer, E. Gross, DFT , Springer-Verlag, Berlin, 1990 ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 583 Course Title Quantum Theory of Many Particle Systems I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Topic will include theory of second quantization, perturbation theory, functional integrals, spin systems, renormalization group theory, fermions, etc. Objectives: In this course, the concepts and formulations of many particle systems are discussed. Learning outcomes:

By discussing the concepts of many body systems the student will gain to the ability to understand and solve the a few particle systems

Understand the difficulties for the solution of many particle systems

Contents. Phonons and second quantization, Perturbation theory: interacting phonons, Feynman diagrams and green functions, Imaginary-time formalism, Spin systems and magnons, Symmetries in many-body theory, XY magnets and superfluid 4He, The renormalization group, Fermions TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Many Body Physics, Chetan Nayak Many-Particle Physics, Gerald D.Mahan, Plenum Pres, ISBN 0-306-40411-7 Concepts of Theoretical Solid State Physics, Alexander Altland & Ben Simons Quantum Theory of Many-Particle Systems, A.L. Fetter and J.D.Walecka ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 584 Course Title Quantum Theory of Many Particle Systems II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION In this course, the concepts and formulations of many particle systems are discussed. Topic will include theroy of Fermi liquid theorem, electron-phonon interaction, superconductivity, disordered systems Objectives: In this course, the concepts and formulations of many particle systems are discussed. Learning outcomes:

By discussing the concepts of many body systems the student will gain to the ability to understand and solve the a few particle systems

Understand the difficulties for the solution of many particle systems

Contents. Interacting neutral fermions: Fermi liquid theory, . Electrons and Coulomb interactions, Electron-phonon interaction, Superconductivity, Introduction to the Quantum Hall Effect, Impurities in solids, Field-tehoretic techniques for disordered systems, Electron- electron interactions in disordered systems, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs Many Body Physics, Chetan Nayak Many-Particle Physics, Gerald D.Mahan, Plenum Pres, ISBN 0-306-40411-7 Concepts of Theoretical Solid State Physics, Alexander Altland & Ben Simons Quantum Theory of Many-Particle Systems, A.L. Fetter and J.D.Walecka ASSESSMENT Midterm Exam (%40), Final Exam (%60)

Course Code: PHY 585 Course Title: Density Functional Theory-I Level: Graduate Semester: Fall ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Density functional theory for electrons in atoms molecules and solids has a successful history during the past decades, application of DFT has become the most effective method for the calculation of ground-state structural and electronic properties of molecules and solids. Objectives: In this course, the DFT for atoms, molecules and solids, starting from the electronic structure of atoms will be covered. Learning outcomes:

The student will gain the understanding of single particle solution of many body systems. By using different programming languages (such as Fortran, Matlab) student will be able to do DFT calculations.

Contents: Quantum Mechanics in brief, Three particle systems, Hartree-Fock Appoximation, Introductin to DFT, Fundamentals of DFT, Density Functionals for Non-Relativistic Coulomb Systems, Density Functionals for Non-Relavistic Coulomb Systems, Local, Semi Local and on-Local Approximations, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs C. Filhais, F. Nogueria, M. Marques (Eds.), A Primer in Density Functioanl Theory, Springer, Nevyork, 2002 D. Josbent (Edit.), Denisty Functioanls: Theory and Applications, Springer, NewYork, 1998 ASSESSMENT A mid-term exam (preferably a take-home exam) and assignments are given, also each student must give a presentation in the semester. The final grade will be constructed upon 50% of the assignments, 25% of the presentation and 25% of the mid-term

Course Code: PHY 586 Course Title: Density Functional Theory-II Level: Graduate Semester: Spring ECTS Credit: 10 Status: Selective Hours a Week: T. (3+0) Total Class Hours: 14 weeks x 3h. = 42h. Instructor: To be announced Instruction Language: Turkish PREREQUISITIES None DESCRIPTION Density functional theory for electrons in atoms molecules and solids has a successful history during the past decades, application of DFT has become the most effective method for the calculation of ground-state structural and electronic properties of molecules and solids. Objectives: In this course, the DFT for atoms, molecules and solids, starting from the electronic structure of atoms will be covered. Learning outcomes:

The student will gain the understanding of single particle solution of many body systems. By using different programming languages (such as Fortran, Matlab) student will be able to do DFT calculations.

Contents: Introduction to Time-Dependent Density Functional Theory, Fundamentals of Time-Dependent Density Functional Theory, Exact Conditions for Time-Dependent Density Functional Theory, Approximate Functionals, TEACHING AND LEARNING METHOS Lectures TEXTBOOKs C. Filhais, F. Nogueria, M. Marques (Eds.), A Primer in Density Functioanl Theory, Springer, Nevyork, 2002 D. Josbent (Edit.), Denisty Functioanls: Theory and Applications, Springer, NewYork, 1998 ASSESSMENT A mid-term exam (preferably a take-home exam) and assignments are given, also each student must give a presentation in the semester. The final grade will be constructed upon 50% of the assignments, 25% of the presentation and 25% of the mid-term

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