(Fizik I)

Vectors, kinematics, Newton's laws of motion, work and energy, conservation of energy, linear momentum and its conservation, rotation of rigid bodies about a fixed axis, angular momentum and its conservation. (One laboratory session every week).

(Fizik II)

Equilibrium of rigid bodies, oscillations, gravitation, fluid statics and dynamics, waves in elastic media, introduction to thermodynamics and kinetic theory, sound. (One laboratory session every week).

Prerequisite: PHYS 101.

**PHYS 111, 112 General Physics I,II** (3+1+0)
3

(Genel Fizik I,II)

General physics for students in social sciences. Basic principles of classical and modern physics.

**PHYS 121 Introductory
Mechanics and Thermodynamics** (3+1+2) 4

(Mekanik ve Termodinamige Giris)

Introduction to mechanics and thermodynamics designed for students with advanced standing, through topics such as vectorial mechanics,equilibrium of rigid bodies, rotational dynamics, oscillations, waves and thermodynamics. Not offered to students who have taken Phys 101, or Phys 102, or Phys 130.

**PHYS 130 Thermodynamics, Waves,
Optics and Modern Physics ** (3+1+2) 4

(Termodinamik Dalgalar, Optik ve Modern Fizik)

Introduction to thermodynamics, oscillations, waves, interference and diffraction, gratings and spectra, quantization of energy and wave behaviour of particles. No cuncurrent credit with Phys 102, or Phys 121, or Phys 202.

Prerequisite: PHYS 101.

(Fizik III)

Charge and matter, the electric field, Gauss law, electrostatic potential, capacitance, current and resistance electromotive force and circuits, the magnetic field, Ampére's law, Faraday's law, inductance, magnetic properties of matter. (One laboratory session every week.)

Prerequisite: PHYS 101.

(Fizik IV)

Electromagnetic oscillations, AC circuits. Maxwell's equations, electromagnetic waves, light and its propagation, reflection, refraction, geometrical optics, interference and diffraction, gratings and spectra, polarization, the particle-like properties of electromagnetic radiation: photons, Bohr model and the spectrum of the hydrogen atom.

Prerequisite: PHYS 201.

**PHYS 205 Exploring the Cosmos
I** (3+1+0) 3

(Evreni Kesfetmek I)

A survey course primarily for non-science students, with heavily visual character (slides and some videos). No calculus or science background needed. Contents of, and sizes in the cosmos. Ancient astronomy. The scientific revolution. The inner planets: Earth, Moon, Mercury, Mars, Venus. the gas giants: Jupiter, Saturn, Uranus, Neptune. Satellites and rings of the giant planets. Pluto. The asteroid belt. comets. The origin of the solar system.

**PHYS 206 Exploring the Cosmos II** (3+1+0)
3

(Evreni Kesfetmek II)

A survey course primarily for non-science students, with heavily visual character (slides and some videos). No calculus or science background needed. Contents of, and sizes in the cosmos. The Sun. Solar energy. Stellar observations. Double stars. Classification of stars. Birth and evolution of stars. Death of stars. white dwarfs, novae, supernovae, neutron stars, black holes. The Milky Way. Galaxies and the expansion of the universe. The Big Bang. Space exploration. Commercialization of space. future life in space. Space travel. SETI:Search for extraterrestrial intelligence.

**PHYS 221 Thermal Properties of Matter **(3+2+0)
3

(Maddenin Isil Özellikleri)

Elements of probability theory, Bernoulli, Poisson and Gaussian probability distributions. Random walk and diffusion. Thermal motion, molecular distribution of energy in crystals and gases, definition of temperature and the Boltzmann factor, statistical characterization of thermal equilibrium, entropy. Entropy and heat: second law of thermodynamics. Entropy of mixing. Open systems and free energy minimum principles. Applications of the equilibrium conditions: the Clausius-Clapeyron equation, Raoult's law, Henry's law, Osmotic pressure. Ideal gases with internal degrees of freedom. Third law of thermodynamics.

Prerequisite: PHYS 102.

**PHYS 290 Computer Applications in Physics**
(2+2+2) 3

(Fizikte Bilgisayar Uygulamalari)

The aim of this course is to give the student a knowledge about computer systems, use of peripherals and graphical user interfaces, scientific word processing (via WORD, WORD PERFECT or LATEX), tabulation, spreadsheets (via EXCEL or PARADOX), graphical presentations, application of these facilities to simple physical problems, electronic mail and information retrieval systems (Bitnet, Internet), rudiments of programming.

**PHYS 301 Classical Mechanics I** (3+2+0)
3

(Klasik Mekanik I)

Review of basic mathematical tools used in mechanics. Dynamics of particles and systems of particles, motion under a central force, conservation of energy and momentum, dynamics of rigid body motion. Introduction to the mechanics of continua. Relativistic dynamics.

Prerequisites: PHYS 102 and MATH 152.

**PHYS 302 Classical Mechanics II **(3+2+0)
3

(Klasik Mekanik II)

Review of conservation principles, oscillations in one dimension, damped forced oscillations, non-linear oscillations and introduction to classical perturbation theory. Oscillations in more than one dimension: coupled oscillations, normal modes and coordinates. Introduction to analytical mechanics. Lagrange and Hamilton's equations, conservation principles. Small oscillations, selected applications. Canonical transformations.

Prerequisites: PHYS 301 or CE 241 and MATH 251. (Waived for double major students upon consent of the instructor)

**PHYS 311, 312 Quantum
Physics I,II** (3+2+0) 3

(Kuantum Fizigi I,II)

The aim of the course is to expose students to the basic idea of relativity, quantum physics and to the wide range of applications of these ideas. A survey of applications include the structure of atoms, molecules and nuclei, radioactivity and nuclear reactions, elementary particles, solid-state physics, astrophysics and cosmology. Emphasis on understanding physics of quantal phenomena and on order of magnitude estimates rather than formalism.

Prerequisites: PHYS 202 for PHYS 311 and PHYS 311 for PHYS 312.

**PHYS 325, 326
Mathematical Methods of Physics I,II** (3+2+0) 3

(Fizikte Matematiksel Metodlar I,II)

Vectors and matrices: linear vector spaces, gradient, divergence, curl, Gauss and Stoke's theorems, coordinate transformations, diagonalization of matrices, eigenvalue problem. Abstract formalism of vector spaces: Green's function and the inhomogeneous equation, perturbation theory. Function spaces and expansion in orthogonal sets. Infinite series. Ordinary differential equations: solutions in closed form, power series solutions, special functions. Functions of a complex variable, calculus of residues. Contour integration. Contour integral representations of special functions. Asymptotic methods: steepest descents, stationary phase, WKB. Integral transform. Integral equations. Partial differential equations. Calculus of variations Introduction to groups and group representations.

Prerequisites: MATH 252 for PHYS 325 and PHYS/MATH 325 for PHYS 326.

**PHYS 331 Electronics for Physicists I** (2+1+2)
3

(Fizikçiler Icin Elektronik I)

A treatment of the fundamental concepts of electronic circuits and circuit components to provide an adequate understanding of electronic techniques used in modern instrumentation and experimental physics: diode and transistor characteristics, transistor biasing and thermal stabilization. Small and large signal low frequency transistor models transistor amplifier circuits, field-effect transistors. Integrated circuits-operational amplifiers, feedback amplifiers and oscillators. Impedance matching. Large signal amplifiers, rectifiers and filters. (One laboratory session every week)

Prerequisites: PHYS 201 and EE 210 .

**PHYS 332 Electronics for
Physicists II** (2+1+2) 3

(Fizikçiler Icin Elektronik II)

Continuation of PHYS 331 with emphasis on integrated circuits and the use of field-effect transistors in electronic circuit switching and digital methods: Linear and non-linear analog systems, combinational and sequential digital systems, metal-oxide semiconductor/large scale integrated (MOS/LSI) digital systems, digital to analog and analog to digital (D/A and A/D) systems.

Prerequisite: PHYS 331.

**PHYS 337 Introdution to Physical Methods in
Medical Diagnosis** (3+2+0) 3

(Tipta Tani Amaciyla Kullanilan Fiziksel Yöntemler)

Fundamentals of X-rays, generation and detection of X-rays, X-ray diagnostic methods, fundamentals of acoustics, propogation, generation and detection of ultrasound, ultrasound diagnostic methods, fundamentals of radioactivity, generation and detection of nuclear emission, diagnostic methods using radiation detector probes, radiation dosimetry, biolaogical effects of ionizing and non-ionizing radiation, principles of nuclear magnetic resonance, magnetic resonance imaging, review of other physical diagnostic procedures, biological effects of high magnetic fields.

Prerequisite: PHYS 202.

**PHYS 345 Classical
Astronomy** (3+2+0) 3

(Klasik Astronomi)

Motion of the sun, moon, planets and stars as observed by the naked eye, celestial mapping and time-keeping; Kepler's laws of planetary motion planetary physics, stellar parallax and stellar aberration, the Doppler effect, variable stars, the measuement of stellar distances, the proper motion of stars, star clusters and galaxies; gaseous nebulae and planetary nebulae; the Hertzsprung-Russell diagram and stellar evolution, red giants and white dwrarfs; novae and supernovae, pulsars and x-ray sources, neutron stars and black holes, the Big-Bang theory and the expanding universe. Cosmological questions.

Prerequisite: PHYS 202.

**PHYS 346 Introduction to Astrophysics** (3+2+0)
3

(Astrofizige Giris)

Basics of astrophsical studies, positions of stars and their proper motions, distance determination to nearby stars; brightness calculations, angular radii of stars, spectral classification of stars, equations of stellar structure, physics of stellar interiors.

Prerequisite: PHYS 202.

**PHYS 371 Modern Physics for Engineers** (3+2+0)
3

(Mühendisler Icin Modern Fizik)

Basic concepts of quantum physics. Solutions of the Schrödinger equation in one dimension: particle in a box, finite squarewell, harmonic oscillator, periodic potentials, barrier penetration. Tunneling phenomena in metal and molecules. The hydrogen atom in wave mechanics. Many-electron atoms: optical excitations and X-ray line spectra. Molecular structure: bonding mechanisms, vibrational and rotational degrees of freedom. The ammonia maser, statistical physics: electron gas, photon gas. Lasers. The specific heat of crystalline solids. Brownian motion. Thermionic emission. Elementary solid state physics: Crystal lattices and phonons, metals, semiconductors and superconducts. The Josephson junction.

**PHYS 380 Introduction to
Electromagnetic Radiation** (3+2+0) 3

(Elektromanyetik Isimaya Giris)

Review of Maxwell's equations, and derivation of their differential form. Importance of continuity equation and displacement current. Derivation of EM wave equation in vacuum, simple solutions and their basic properties, including Poynting's vector etc. Interaction f radiation with matter, physical basis of the index of refraction. Boundary conditions and simple discussion of reflection and refraction of EM waves from conductors and insulators.

Prerequisite: PHYS 202.

**PHYS 390 Computer Assisted Data Analysis in
Physics** (2+1+2) 3

(Fizikte Bilgisayar Destekli Veri Analizi)

Review of program and data strucrures in a strucrured programming language. Processing large volumes of data with computers and collection of statistics. Measures of central tendency and dispersion. Moment generating functions, Poisson and Bernoilli processes and hypothesis testing. Variance analysis. Least squares, maximum likely hood, and Bayes analysis. Error analysis and propagation. Monte Carlo simulation and its applications. Case studies, laboratory exercises, and projects on the computer, supporting topics covered in lectures.

Prerequisite: Math 252 and computer literacy (Phys 290 or Cmpe 150 or consent of instructor).

**PHYS 391, 392
Physical Electronics I,II** (3+2+0) 3

(Fiziksel Elektronik I,II)

Basic principles pertaining to the operation and characteristics of electron devices: Electron ballistics and applications, electron emission (field, thermal and photoelectric.) Energy levels and energy bands. Conduction in metals and semiconductors. Electron statistics, Shottky barriers, p-n junctions and applications. Bipolar, field-effect and metal-oxide -semiconductor (MOS) transistors. Photoelectric devices. Negative resistance devices.

Prerequisites: PHYS 202 and MATH 251

**PHYS 401 Electromagnetism I**
(3+2+0) 3

(Elektromagnetizma I)

Vector analysis, solution of electrostatic problems: Poissons's and Laplace's equations, method of images. Electrostatics in dielectric media, electrostatic energy. Electric current, magnetic field of steady current, electromagnetic induction, magnetic properties of matter, magnetic energy.

Prerequisites: MATH/PHYS 325 and PHYS 202

**PHYS 402
Electromagnetism II** ( (3+2+0) 3

(Elektromagnetizma II)

Maxwell's equations, electromagnetic waves, interaction of radiation with matter: the physical origin of the refractive index, Fresnel's equations. Multipole expansions of the radiation field: electric dipole, magnetic dipole and electric quadrupole radiation. Waveguides and cavity resonators. Theory of diffraction. Electrodynamics, special theory of relativity and transformations of the electric and magnetic fields.

Prerequisite: PHYS 401 or consent of the instructor.

**PHYS 407
Advanced Quantum Physics I** ( (3+2+0) 3

(Ileri Kuantum Fizigi I)

Fundamental concepts of relativity and quantum physics and their applications to the structures of single and multielectron atoms. Introduction to mathematical foundations of quantum physics. Emphasis on understanding quantal phenomena order of magnitude estimates. Cannot be taken for credit in addition to Phys 311.

Prerequisite: PHYS 202.

**PHYS 408 Advanced Quantum Physics II** ( (3+2+0)
3

(Ileri Kuantum Fizigi II)

Continuation of Phys 407 involving applications of relativity and quantum physics to molecules, nuclei, radioactivity and nuclear reactions, elemetary particles, condensed matter physics, astrophysics and cosmology. Cannot be taken for credit in addition to Phys 312.

Prerequisite: PHYS 407.

**PHYS 410 Quantum Mechanics** ( (3+2+0)
3

(Kuantum Mekanigi)

Wave packets and uncertainity relations, the Schrodinger equation, one dimensional Potentials, the Schrodinger equation in three dimensions, angular momentum, the hydrogen atom, spin angular mimentum, the elementary treatment of addition of angular momenta, the structure of atoms and molecules, first order perturbation theory.

Prerequisite: PHYS 311.

**PHYS 411 Quantum Mechanics
I** (3+2+0) 3

(Kuantum Mekanigi I)

Basic postulates of quantum mechanics. Wave and matrix mechanics. The Schrödinger equation. Orbital angular momentum. Exactly soluble bound state problems. The independent perturbation theory and applications. Spin angular momentum. Addition of angular momenta, variational methods.

Prerequisites: MATH/PHYS 325 and PHYS 311

**PHYS 412 Quantum Mechanics II
**(3+2+0) 3

(Kuantum Mekanigi II)

Time dependent perturbation theory and applications. Scattering theory. Born approximation, partial waves, phase shifts and cross sections. Spin dependent scattering amplitudes. Introduction to relativistic quantum mechanics.

Prerequisite: PHYS 411 or consent of the instructor.

**PHYS 421
Statistical Mechanics** (3+2+0) 3

(Istatistik Mekanik)

Review of thermodynamics. Microcanonical, canonical and grand canonical ensembles. Classical and quantum gases. Applications.

**PHYS 422 Statistical
Mechanics and Introduction to Many Body Theory**
(3+2+0)
3

(Istatistik Mekanik ve Çok Cisim Kuramina Giris)

Review and further study of the properties of quantum gases. Second quantization. Fluctuations and the fluctuation-dissipation theorem. Interacting Bose and Fermi systems. Superfluidity and super conductivity. Introduction to many body theory, Feynman and Goldstone diagrams. Selected applications in nuclear and solid-state physics.

**PHYS 442 Experimental Physics I** (2+0+4)
4

(Deneysel Fizik I)

Experiments illustrative of basic experimental techniques in modern physics such as photoelectric effect, charge to mass ratio of the electron, scattering, Cavendish torsion balance, study of counting statistics, x-ray scattering, radioctivity, quantization of atomic energy levels. Furthermore, quick review of data analysis: statistics, probability distributions, least squares method, Chi-square test.

Prerequisites: PHYS 311 or 407.

**PHYS 443 Experimental
Physics II** (2+0+4) 4

(Deneysel Fizik II)

Continuation of Phys 442 Experimental Physics I. Hall effect in semiconductors, gamma-ray attenuation, laser applications, Na-doublet wavelength separation, Fabry-Perot interferometer, coherence length, diffraction of matter waves, Stefan Boltzman law and other modern physics experiments. A quick review of computers, programming, internet, vacuum techniques, particle accelerators, passage of radiation through matter and radiation safety.

Prerequisites: PHYS 442 or consent of the instructor.

**PHYS 445 Observational
Astronomy** ( (3+0+0) 3

(Gözlemsel Astronomy)

Principles of Applications of the telescope, prism spectrometer, grating spectrograph, Michelson-Morley, Fabry-Perot interferometers in astronomy and astrophysics.

Prerequisite: PHYS 345.

**PHYS 446 Computational Astronomy** ( (3+2+0)
3

(Hesaplamali Astronomi)

Computational methods used in astronomy. Study of celestial charts and atlases, as well as the analysis of astronomical data, use of computer programs on these subjects.

Prerequisite: PHYS 345.

**PHYS 447 Computationa Astrophysics** ( (3+2+0)
3

(Hesaplamali Astrofizik)

Study of some general astrophysics package programs and observational individual source spectra.

Prerequisite: PHYS 346.

**PHYS 448 History of Astronomy** ( (3+2+0)
3

(Astronomi Tarihi)

History of astronomy from ancient times to the present day, astronomy in ancient Babylonia and Egypt, ancient Greek astronomy, the heliocentric theory of Aristarchus, the geocentric theory of Ptolemy, astronomy in Islam, the heliocentric theory of copernicus, the work of Tycho Brahe, Kepler, Galileo and Huygens, Newton's laws of motion and universal gravitation, measuremant of the velocity of light by Romer, Laplace's celestial mechanics, the beginning of astrophysics in the theories and observations of modern physics, the discoveries and theories of modern astronomy.

Prerequisite: PHYS 202.

**PHYS 449 Cosmic X=Ray Astronomy **
( (3+2+0) 3

(Kozmik X Isini Astronomisi)

Galactic and extra-galactic x-ray sources. Instrumentation, X-ray emission mechanisms, and the spectra of X-ray sources.

Prerequisite: PHYS 346.

**PHYS 452 Atomic and
Molecular Physics **(3+2+0) 3

(Atom ve Molekül Fizigi)

Hydrogen atom and its spectrum. Many electron atoms. Hartree theory, Thomas-Fermi theory. Electron correlations. Interaction of atoms with static electric and magnetic fields and with electromagnetic radiation. Hyperfine structure. Exotic atoms. Rydberg atoms. Structure of molecules. Molecular spectroscopy.

Prerequisite: PHYS 411.

**PHYS 456 Modern Optics** (3+2+0)
3

(Modern Optik)

Maxwell's equations. Plane and spherical waves. Polarization. Crystal optics, propagation of light in anisotropic media. Optical activity. Interference. Fraunhofer and Fresnel diffraction. Fourier optics.

Prerequisites: PHYS 311, PHYS 401 or PHYS 380.

**PHYS 458
Quantum Electronics** (3+2+0) 3

(Kuantum Elektronigi)

Generation, manipulation, propagation and application of coherent radiation. Fundamental processes in lasers and masers. The basic theory of interaction of electromagnetic radiation with resonant atomic transitions. Laser oscillations, Raman effect and non-linear optics. Light modulation, introduction to quantum noise theory.

Prerequisite : consent of the instructor.

**PHYS 462 Solid State
Physics** (3+2+0) 3

(Kati Hal Fizigi)

Crystal structure, electron gas, band theory, electronic conductivity, semiconductors, superconductivity, magnetic properties of matter.

Prerequisite: consent of the instructor.

**PHYS 466 Nuclear
Physics** (3+2+0) 3

(Nükleer Fizik)

Nuclear structure: liquid drop model, simple shell model, rotational and vibrational nuclei. Natural and artificial radioactivity, alpha, beta and gamma radiation. Nuclear reactions and cross-sections. Optical model, compound nucleus reactions, direct reactions. Heavy ion reactions. Fission.

Prerequisite: PHYS 411 or PHYS 312

**PHYS 472 Elementary
Particle Physics** (3+2+0) 3

(Temel Tanecikler Fizigi)

Classification of elementary particles. Particle scattering and decay. Conservation principles. Particle interactions and resonances. Parity and CP violation, quark model, unification of weak and electromagnetic interactions.

Prerequisite: PHYS 411.

**PHYS 480-490, 493-499
Selected Topics in Physics I,II** (3+0+0) 3

(Fizikte Özel Konular )

Study of selected topics in physics not covered in other courses at an undergraduate level.

**PHYS 491, 492 Introduction to Research in
Physics I,II** (3+2+0) 3

(Fizikte Arastirmaya Giris I,II)

Literature search for a specified research topic, preferably involving the study of relevant articles in international research journals. Attempt to make an independent experimental or theoretical contribution to the topics.

**STS 200 Science and
Technology as Contemporary Issues** (3+0+0) 3

(Bilim ve Teknolojinin Çagimizdaki Yeri)

A brief review of landmark in the history of science and technology. Science versus art, scientific discovery versus technical innovation, discussion of the role of mathematics in the context of science and technology. The relevance of progress in science and technology to social and economic developments. Developments such as high temperature superconductivity, artificial intelligence, genetic engineering, nuclear fusion are also to be discussed. (Not offered to science and engineering students).

**STS 230
Theory of Musical Sound ** ( (3+0+0) 3

(Müzikte Ses Kurami)

The physics of oscillations and wave motion. Sound, its generation and propagation, harmonics, interference, beats and combinations. Characteristics of a musical tone; notation of duration; meter. Intervals and construction of scales. Chords and harmonic progression. Characteristics of musical instruments. Introduction to musical forms.

Prerequisite: PHYS 102 and MATH 152.

**STS 401 History of
Science (up to the 18th Century)** (3+0+0) 3

(Bilim Tarihi: 18. Yüzyila Kadar)

The evolution of science in the ancient Near Eastern Civilizations; followed by a survey of Greek and Arab sciences. Scientific activity in the Renaissance, with particular attention to astronomy (Kepler, Tycho Brahe, Copernicus, Galileo). The development of mathematical analysis. The epoch-making work of Newton in Physics and Mathematics.

Prerequisite : junior or senior standing in sciences or engineering.

**STS 410
History of Science (From the 18th century to the present)**
(3+0+0)
3

(Bilim Tarihi: 18. Yüzyildan Günümüze)

A survey of the growth of sciences since the Enlightenment: 18th century developments in theoretical astronomy, applied mathematics and biology. The electromagnetic theory and thermodynamics (19th c.). Development of modern physics, mathematics and biology in the 20th century. Space technology, computers and the "revolution" in electronics.

Prerequisite: junior or senior standing in sciences or engineering.

**STS 421
History of Mathematics** (3+0+0) 3

(Matematik Tarihi)

Mathematics as a deductive science in pre-classical and classical times. Developments in mathematics from 500 A.D. to 1500 A.D. in the Far East, India, Persia, Arabia and Europe. 16th century developments in algebra. The development of analytic geometry and calculus, culminating in the works of Newton and Leibnitz (17th C.). Applications of calculus in the 18th century (Euler, Lagrange, Laplace). The emergence of set theory, abstract algebra, complex analysis and mathematical logic (19th C.). 20th century developments, generalizations in mathematical structures, computers.

Prerequisite: junior or senior standing in sciences or engineering.

**STS 440
Science in Turkish Civilizations** (3+0+0) 3

(Türk Medeniyetlerinde Bilim)

A survey of the field with special emphasis on the development of science in Turkish-Islamic civilizations. Scientific activity in the Seljuk and Ottoman states. Science, scientific policies and institutions in modern Turkey.

Prerequisite: Junior or Senior standing in sciences or engineering.

**STS 480-499
Special Topics in the History of Science and Technology**
(3+0+0)
3

(Bilim ve Teknoloji Tarihinde Özel Konular)

Study of selected topics in the history of sciences and technology not covered in other courses.

**PHYS 500 Readings in Physics** (1+0+0)
1

(Fizikte Literatür Incelemesi)

Supervised reading and library work. Choice of material according to individual needs. Both written and oral presentations are required.

**PHYS 501 Classical Dynamics
**(3+2+0) 4

(Klasik Dinamik)

Review of principles of mechanics. Hamilton's principle and Lagrange's equations, conservation laws. The principle of least action. Lagrangian formalism: Central forces, rigid body motion, small oscillations. The Hamilton's equation of motion, canonical transformations, Hamilton-Jacobi theory. Lagrange's and Hamilton's equations for continuous media.

**PHYS
511 Electromagnetic Theory I** (3+2+0) 4

(Elektromanyetik Teori I)

Electrostatics and magnetostatics. Time-dependent fields and Maxwell's equations. Multipole expansion of the radiation field. The interaction of radiation with matter. Interference and diffraction. Wave guides and cavities. Electromagnetism and relativity.

**PHYS 512 Electromagnetic
Theory II** (3+2+0) 4

(Elektromanyetik Teori II)

Further elaboration on some of the topics covered in PHYS 511. Dynamics of charged particles in external electromagnetic fields. Radiation by moving charges, Lienard-Wiechert potentials. Scattering of electromagnetic waves. Cherenkov radiation, Bremsstrahlung. Vector multipole fields. Electromagnetic fluctuations. Radiation damping.

**PHYS 521,522 Mathematical Methods of Physics
I,II **(3+2+0) 4

(Fizikte Matematiksel Metodlar I,II)

Vectors and matrices, complex analysis, differential and integral equations, special functions, asymptotic methods, calculus of variations. Tensor analysis. Introduction to group theory.

**PHYS 525 Introduction to
General Relativity** (3+2+0) 4

(Genel Rölativiteye Giris)

Kinematics, dynamics, and four dimensional formulation of special relativity. The equivalance principle, introduction to classical differential geometry. Einstein's equations and simple applications, introduction to big-bang cosmology, and Inflation theories. White dwarfs, neutron stars and black holes.

**PHYS 531, 532 Quantum
Mechanics I,II** (3+2+0) 4

(Kuantum Teorisi I,II)

Bound state problems. Scattering theory, symmetries. Time independent perturbation theory. Applications. Semiclassical theory of radiation. Introduction to relativistic quantum mechanics.

**PHYS 541 Statistical
Mechanics I** (3+2+0) 4

(Istatistik Mekanik I)

Laws of thermodynamics and their applications. Classical kinetic theory and the Boltzmann equation. Microcanonical, canonical and grandcanonical partition functions. Ideal quantum gases. Various applications in solid-state, nuclear and astrophysics.

**PHYS 542 Statistical Mechanics II **(3+2+0)
4

(Istatistik Mekanik II)

Cluster expansion for non-ideal classical and quantum gases, virial coefficients, phase transitions, magnetism. Ising model in two dimensions. Introduction to critical phenomena.

(Polimerler)

Molecular weight and configurations of macromolecules. Statistical thermodynamics of long-chain-molecules. Elastic and viscoelastic deformation. Electrical and optical properties of polymers. The emphasis is on an understanding of polymer properties in terms of molecular structures.

**PHYS 551, 552 Experimental Physics I,II**
(2+0+4) 4

(Deneysel Fizik I,II)

Laboratory experiments fundamental to the development of modern physics. Students are also encouraged: (i) to develop experiments of their own selection, (ii) design and build instruments by themselves with close faculty guidance.

**PHYS
561, 562 Many-Body Theory I,II** (3+2+0) 4

(Çok Cisim Teorisi I,II)

Many particle Hilbert space, creation and annihilation operators. Green functions at zero temperature. Interacting Fermi and Bose systems. Wick's theorem and diagrammatic analysis of perturbation theory. Linear response theory. Field theory at finite temperature. Functional integrals. Applications to nuclear and condensed matter physics.

**PHYS
571 X-Ray Astronomy** (3+2+0) 4

(X-Isini Astronomisi)

Description of instruments used in detecting x-ray emission in various wavelengths. Methods of data analysis. Production mechanisms of x-ray emission. Galactic and extra-galactic x,ray sources and systems. x-ray binaries. Background radiation.

**PHYS 579 Graduate
Seminar** (0+1+0) Non-credit

(Lisansüstü Seminer)

The widenening of students' perspectives and awareness of topics of interest to physics through seminars offered by faculty, guest speakers and graduate students.

**PHYS 580-599 Special Topics in Physics**
(3+2+0) 4

(Fizikte Özel Konular)

Study of special topics not covered in other courses at the master's level.

**PHYS 611,612
Relativistic Quantum Mechanics I,II** (3+2+0)
4

(Relativistik Kuantum Mekanigi I,II)

Review of special relativity and four vectors. Klein-Gordon and Dirac equations, and their solutions. Hole theory, interactions and relativistic perturbation theory. Symmetry properties. Applications involving electromagnetic and weak interactions.

**PHYS 621,622 Group Theory for Physicists
I,II** (3+2+0) 4

(Fizikçiler Icin Grup Teorisi I,II)

Intensive study of those aspects of group theory which are of greatest importance in physical applications. Definitions and introductory concepts, representations, finite groups, continuous groups: lie groups and Lie algebras. Examples: SU (2), SL (2,C), SU (3). Lie algebras and root spaces, Cartan's classifications, Dynkin diagrams, real forms, contractions and expansions. Graded Lie groups. Selected applications to high-energy, nuclear, solid-state, crystal, molecular and atomic physics.

**PHYS
625,626 General Relativity and Gravitation I,II** (3+2+0)
4

(Genel Relativite ve Gravitasyon I,II)

Review of special relativity; modern differential geometry; the foundations of general relativity. Einstein field equations, gravitational collapse. Relativistic stars, black holes, singularities and singularity theorems, gravitational radiation, cosmology.

**PHYS 631,632 Atomic and Molecular Physics
I,II** (3+2+0) 4

(Atom ve Molekül Fizigi I,II)

Theory of spectroscopy in the optical and microwave region. Mean field and electron correlations. Angular momentum through use of Racah formalism. One-electron and many-electron atoms. Atoms in crystal lattices; the Stark and Zeeman effects, highly excited atoms in strong fields. Multiphoton processes, laser spectroscopy. Molecular structure. Atomic and molecular collisions. Properties of macromolecules.

**PHYS 641,642 Solid State Physics I,II**
(3+2+0) 4

(Kati Hal Fizigi I,II)

Periodic structure and symmetry of crystals, lattice dynamics, phonons, electron gas, Fermi surfaces, electrical and thermal conductivity, semiconductors and insulators, magnetic phenomena in solids, band structure.

**PHYS 645,646 Quantum
Optics and Electronics I,II** (3+2+0) 4

(Kuantum Optigi ve Elektronigi)

Non-linear optics: harmonic generation, stimulated Brillouin and Raman scattering, mode locking of lasers. Quantum theory of lasers and of the interaction of radiation and atoms. Coupling of radiation to atoms, quantum noise.

**PHYS 648 Integrated and Fiber Optics** (3+2+0)
4

(Entegre ve Fiber Optigi)

Propagation of waves in dielectric thin films and cylindrical guides. Bitlimitation rate due to material dispersion and multimoding. Step index and graded index fibers. Switching and modulation by integrated optics techniques.

**PHYS 651, 652
Nuclear Physics I, II** (3+2+0) 4

(Nükleer Fizik)

Review of nuclear properties. Fermi gas model, nuclear matter. Independent particle model and the nuclear shell model, the Hartree-Fock method, RPA. Models of nuclear collective motion: rotations, vibrations and giant resonances. Nuclear pairing theory. Electromagnetic and weak interactions of nuclei: electron scattering, beta decay, muon capture. Nuclear reactions: optical model, direct reactions, compound nuclear reactions, statistical properties of spectra. Heavy ion collisions and fission.

**PHYS 655, 656 High-Energy
Nuclear Physics I, II **(3+2+0) 4

(Yüksek Enerji Nükleer Fizigi I, II)

Studies of nuclear structure using high-energy probes. Elastic and inelastic scattering of high energy electrons, nucleons, mesons, photo-disintegration. Isobars and nuclear structure. Distribution of charge, matter and magnetization in nuclei. Mesonic atoms. Presentations of topics of current interest.

**PHYS 661, 662
Particle Physics I, II** (3+2+0) 4

(Parçacik Fizigi I, II)

Phenomenology of particle properties and interactions stressing experimental results. Conservation laws. Accelerators, particle detectors and techniques. Strong interactions, quark model predictions. Electromagnetic interactions, Dirac-Feynman theory. Weak interactions, V-A theory, non-conservation of parity. Gauge field theories, Weinberg-Salam theory of electroweak interactions, color-gauge groups and recent models.

**PHYS 665, 666 Field Theory I, II** (3+2+0)
4

(Alan Teorisi I,II)

Classical field theory, canonical quantization. Dirac field. Interacting fields, perturbation theory. S-matrix and the LSZ formalism. Feynman graphs. Functional methods, non-perturbative properties. Renormalization. Calculations in quantum electrodynamics.

**PHYS 675, 676 Phase Transitions and Critical
Phenomena I, II**
(3+2+0) 4

(Faz Degisimleri ve Kritik Olaylar I, II)

Physical ideas and current techniques used in the study of critical phenomena in statistical mechanics and field theory. Landau theory of phase transitions, critical indices, scaling and universality, renormalization group, duality transformations, lattice gauge theory.

**PHYS
680-689, 691-699 Special Topics in Physics I, II** (3+2+0)
4

(Fizikte Özel Konular I, II)

Study of special topics not covered in other courses at the graduate level.

**PHYS 681, 682
Graduate Seminar in Physics I,II** (3+0+0)
3

(Lisansüstü Fizik Semineri I,II)

Study of selected advanced topics under the supervision of one or more faculty members. Both written and oral presentations are required.

(Yüksek Lisans Tezi)

(Yönlendirilmis Arastirmalar)

Research in Physics, by arrangement with members of the faculty, guidance of doctoral students towards the preparation and presentation of a research proposal.

(Doktora Tezi)