DESCRIPTION OF GRADUATE PHYSICS’ COURSES towards Master of Science
PHYS701 Mathematical Methods in Physics (Credits: 3, ECTS: 8)
Gamma, Beta, ZetaFunctions, Homogeneous Second Order Differential Equations, Normal and Subnormal Solutions, Bessel and Legendre Functions,Complex Algebra, Cauchy-Riemann Conditions, Cauchy’s Integral Theorem, Riemann Surfaces, Residues Theorem and Calculations of Particular Real Integrals, Integral Transforms, Fourier and Laplace Transforms.
PHYS702 Statistical Mechanics (Credits: 3, ECTS: 8)
Statistical Base of Termodynamics, Microscopic and Macroscopic Systems, Classical Ideal Gas, Entropy of Mixing and Gibbs Paradox, Ensemble Theories, Phase Spaces, Liouville Theorem, Microcanonical Ensemble, Canonical Ensemble, Fluctuations, Partial Functions and Alternative Statements, Harmonic Oscillator System, Statistic of Paramagnetism, Termodynamics Magnetic Systems and Negative Temperature, Grand Canonic Ensemble, Density and Energy Fluctuations, Formulation of Quantum Statistical Mechanics, Density Matrix, Theory of Ideal Gases, Single Atom and Molecule with Two and More Atoms, Ideal Bose Systems, Bose-Einstein Condensation, Termodynamics of Blackbody Radiation, Ideal Fermi Systems, Pauli Paramagnetism, Landau Diamagnetism, Atomic Paramagnetism.
PHYS703 Classical Mechanics (Credits: 3, ECTS: 8)
Survey of the Elementary Mechanics Principles, Variational Principles and Lagrange’s Equations, The Central Force Problem, The Kinematics of Rigid Body Motion, The Rigid Body Equations of Motion, Oscillations
PHYS704 Electromagnetic Theory(Credits: 3, ECTS: 8)
Electrostatics, Poisson and Laplace Equations, Green’s Theorem and Green Functions; Boundry-Value Problems, Method of Images, Method of Inversion and Eigenvalue Functions, Static Electric in Matters and Dielectrics, Multipole Expansion, Boundry-Value Problems with Dielectrics. Magnetostatics, Vector Potential, Magnetic Moment,Faraday’s Law, Ampere’s Law, Maxwell Equations, Gauge Transformations and Wave Equation, Green Functions for the Wave Equation, Initial-Value Problems and Integral Representation of Kirchhoff, Poynting Theorem and Conservation Law.
PHYS705 Quantum Mechanics(Credits: 3, ECTS: 8)
Introduction to Quantum Mechanics, Wave Packets and Motion of Free Particle, Wave Function and Schrödinger Wave Equation, Operator Algebra, Principles of Wave Mechanics, Eigenvalue and Eigenfunctions, The Potential Barrier and Well Problems, WKB Approximation, Variational Methods and Perturbation Theory, Vector Spaces in Quantum Mechanics, Harmonic Oscillator, Angular Momentum, The Spherical Symmetric Well Potential, Scattering Theory.
PHYS707 Solid State Physics(Credits: 3, ECTS: 8)
Phonons, plasmons, magnons, fermion fields and the hartree-fock approximation, and electron many-body techniques and the electron gas. Dynamics of electrons in a magnetic field: energy bands, cyclotron resonance, impurity states, optical absorption and excitons in semiconductor crystals; electrodynamics of metals; green's functions.
PHYS708 Physics of Semiconductor Devices(Credits: 3, ECTS: 8)
Free Electron Model, Nearly-Free Electron Band Structure, Tight-binding Model, Basic Observable Properties of Semiconductor Materials, Electronic Structure of Technologically Important Semiconductors, Physics of Semiconductor Interfaces, Quantum Wells, Superlattices, Quantum Wires and Dots, Electron Transport in Microstructures, Optical Properties of Microstructures, Fabrication and Characterization of Semiconductor Microstructures, Application of Semiconductor Microstructures in Electronic Devices, Application of Semiconductor Microstructures in Optoelectronics.
PHYS709 Superconductivity(Credits: 3, ECTS: 8)
Basic Phenomena of Superconductivity, Thermodynamics of Superconductors, The London Equations of Electrodynamics in Superconducting media, Macroscopic theory of Superconductivity (Ginzburg-Landau Theory), Type II Superconductivity, Microscopic Theory (BCS model, Cooper pairs), Magnetic Properties of Type II Superconductors, Magnetic Vortex, Vortex Pinning, Josephson Effect, High Temperature Superconductors, Recent Progresses in Superconductivity.
PHYS711 Group Theory(Credits: 3, ECTS: 8)
Basic Definitions and Theorems for Group Theory, Conjugate Elements and Class Structure, Group representations, Great Orthogonality Theorem, Character of a Representation and Character Tables, Construction of Character Tables with examples, Decomposition of Irreducible Representation, Application of Representation Theory in Quantum Mechanics, Abelian Groups; Basis Functions for Irreducible representation, Crystallographic Point Groups, Irreducible representation of point groups, Physical Applications of Group Theory, Crystal-Field Splitting of Atomic Levels.
PHYS712 Atomic Physics(Credits: 3, ECTS: 8)
Wave Mechanics of Hydrogen atom, Spherical Harmonics, Radius dependent of hydrogen atom, Probability of electrons in atoms, expected values in atoms, Matrix Mechanics, its eigen values and eigen vectors, Matrix Representation of Operators, Matrix Representation of Angular Momentum, Pauli Spin matrices, Angular spin momentum, Stern-Gerlach experiment,spin operators, magnetic dipol moment, Total angular momentum, LS interaction, Hyperfine interaction, Zeemann Anomaly, Structure of periyodical system, Crossing rules in LS coupling.
PHYS713 Magnetic Resonance(Credits: 3, ECTS: 8)
Basics of Electron Spin Resonance, Magnetic Interaction Among the Particles, Hyperfine Structure Effects in EPR Spectra, Zeeman Energy (g) Anisotropy, Hyperfine Interaction (A) Anisotropy, ESR in Bi-electron Systems, Rare-earth electrons, Relaxation time, Line Width.
PHYS714 Optics(Credits: 3, ECTS: 8)
Review of geometrical optics, Ray tracing, ynu-chart and matrix methods. Gaussian imagery and paraxial optics, conjugate elements, cardinal points, and image-object relations. Stops and pupils, chief and marginal rays, vignetting, and the optical or Lagrange invariant. The y-y bar diagram, design of common systems: objectives, magnifiers, microscopes, collimators and detectors. Optical glasses and chromatic aberrations, wavefront and transverse aberrations, spot diagrams and ray fan plots. Scalar and electromagnetic waves, polarization, coherence, reflection and refraction; two beam and multiple beam interference, interferometers, Fabry-Perots, thin films, diffraction, and absorption and dispersion.
PHYS717 Cosmology(Credits: 3, ECTS: 8)
Review of General relativity, Cosmological principle, Friedmann-Robertson-Walker cosmology, Big bang, cosmological models, cosmological constant, Dark matter, Dark Energy, Inflation, CMB
PHYS719 Numerical Methods in Physics(Credits: 3, ECTS: 8)
C or Fortran Programming, Taylor and Fourier Series, Measurements of errors, Roots of Equations, Interpolation Techniques, NumericDerivative and Integral Methods, Eigenvalue, Boundary Values Problems, Initial Value Problems, Elliptic and parabolic Equations.
PHYS720 High Energy Physics(Credits: 3, ECTS: 8)
Relativistic Kinematics, Scattering Amplitude and Cross Section, Experimental Methods, Accelerators, Particle Detectors, Detector Systems and Experiments, Space-Time Symmetry, Leptons, Quarks, Hadrons, QED, QCD, Jet and Gluons, Weak Interaction, Salam-Weinberg Theory, Mass of Neutrino and Oscillations, Dark Matter, Particle astrophysics, Current Experiment, Gravitation Waves.
PHYS721 Radiation and Radioisotopes’ Applications(Credits: 3, ECTS: 8)
Fundamentals of radiation physics, types of radiation, decay mechanisms, production of X-rays, kinetics of radioactive decay interaction of charged and uncharged particles with matter and their kinematics, fission and fusion raections, positron emission mechanisms, and annihilation radiation. Production of radioisotopes, radiopharmaceutics.Labeling of organic compounds with radioisotopes, usage of tracer techniques.Usage of the nuclear measurement for industrial problems.Principles of usage of radioisotopes in medicine.Medical radiography, industrial radiography and related devices, linear accelerators and nuclear reactors for radioisotope production.
PHYS722 Introduction to General Relativity(Credits: 3, ECTS: 8)
Minkowksi Space-time and Special Relativity, Manifolds, Vectors, forms, tensors; Metric tensor, Riemann tensor, Covariant derivative, geodesics, Differential forms and Cartan equations, Einstein Equations, Energy-Momentum tensor, Linearized field equations, Schwarzschild solutiıon, Black holes, Classical tests of General Relativity, Gravitational waves, star models and Schwarzschild interior solution.
PHYS723 Plasma Physics(Credits: 3, ECTS: 8)
Definition of Plasma, Debye Shielding,The Plasma Parameter, Lawson's Criteria for Plasmas, Thermonuclear Fission and Fusion. Particle Drifts in uniform E and B Fields (Guiding center drift), Particle Drifts in nonuniform E and B Fields (Grad-B Drift). Curvature drifts. Adiabatic Invariants, he techniques confine plasmas: Magnetic field confinement and inertial confinement. Macroscopic properties of plasmas :Two Fluid Plasma Theory. One Fluid Theory of Plasma, The meaning of f(v), Equations of Plasma Kinetic theory: Liouville Equation. Derivation of the fluid equations:The Boltzmann-Vlasov Equation, The Vlasov-Maxwell Equations. Ideal Magnetohydro-dynamic (MHD) Equations and applications. Plasma Waves.
PHYS725 Molecular Symmetry and Group Theory(Credits: 3, ECTS: 8)
Group properties, elements and symmetry operations,Reducible representations, Irreducible representations, Molecular symmetry, Point Groups, Character tables, Matrix representations and calculates, Applications in the quantum physics, Examples in the molecular physics, Examples in the molecular physics, Crystal structure, Crystal symmetry and sub groups.
PHYS726 Theory of Vibrational Spectroscopy(Credits: 3, ECTS: 8)
Molecular vibrations- basic concepts, Interaction of electromagnetic radiation with matter, Vibration of diatomic molecules, Harmonic and unharmonic vibrators, Molecular symmetry, Rigid and nonrigid rotators, Interactions of Rotation-Vibration, Vibrational selection rules, Experimental techniques of Infrared spectroscopy, Raman effect- classic and quantum view, Experimental techniques of Infrared spectroscopy, Normal modes of vibration of polyatomic molecules, Molecular structure determine with Infrared and Raman Spectroscopy depend on symmetry, Applications.
DESCRIPTION OF GRADUATE PHYSICS’ COURSES towards Doctorate
PHYS801 Advanced Mathematical Methods in Physics(Credits: 3, ECTS: 8)
Linear Vector Areas and Linear Operators, Metric Spaces, Scalar, Vectorial and Tensor Quantities and Representations with Matrix, Coordinate Systems, Partial Differential Equations of Mathematical Physics, Laplace Operator in Two-Dimensional Space and Angular Momentum, Solutions of Laplace and Helmholtz Equations in Three-Dimensional, Green Theorem and Green Functions, Green Functions and Radiation and Scattering Problems,Method of WKB, Variational Methods and Perturbation Theory,Method of Phase Integral and Stokes’ Theorem.
PHYS803 Advanced Classical Mechanics(Credits: 3, ECTS: 8)
Special Relativity, Hamilton's equations, Canonical transformations, Hamilton-Jacobi equation, Action-angle variables, Chaos, Canonical perturbations, Lagrange and Hamiltonian formulation of continuous systems and fields.
PHYS804 Advanced Electromagnetic Theory(Credits: 3, ECTS: 8)
Plane Waves, Reflection and Refraction of Waves, Waves in Conductors and Conductivity, Waveguides and Resonant Cavities, Radiating Systems and Interference, Kirchhoff Integral for Interference, Bobinet Principle, Special Theory of Relativity, Doppler Shift, Thomas Precession, Lorentz Transform, Covariance of Electrodynamics, Transformation of Fields, Motion of Relativistic Particle, Transformation of Momentum, Motion in Electric and Magnetic Field, Scattering of Charged Particles, Harmonic Oscillation, Elastic Collisions Between Atom and Fast Particles, Radiation by Moving Charges, Larmor’s Formula, Accelerated Charges and Distribution in Frequency, Thomson Scattering, Cherenkov Radiation.
PHYS805 Advanced Statistical Mechanics(Credits: 3, ECTS: 8)
Non-interacting Fermions, Non-interacting Bosons, Photons and Black-Body Radiation, Degenerate Fermi and Boson Gases, Fluctuations, Dielectric and Magnetic Systems, Pauli Paramagnetism, Landau Diamangnetism, Grand Partition Function and Potential, Atomic Paramagnetism, Thermodynamics of Phase Transitions, Landau Theory, İnteracting Particle Systems, Weiss Molecular Field and Bragg-Williams Approximations, Ising Model, Renormalization, Irreversible Processes, Thermodynamic Definitions, Boltzmann Equation, Hydrodynamic Equations, Vlasov Equations, Master Equations, Liouville Equation, Green-Kubo Formalism, Brownian Motion, Correlations, Linear Response Theory.
PHYS806 Advanced Quantum Mechanics(Credits: 3, ECTS: 8)
Rotation Operator, Angular Momentum, Clebsch-Gordan Series, Wigner-Eckart Theorem, Time-Dependent Perturbation Theory, Two and More Particles Systems, Radiation Interaction of Quantum Systems, Absorption, Emission, Quantum Systems of Interaction with External Electric and Magnetic Fields, Stark Effect, Zeemann and Abnormal Zeemann Effects, Aharonov-Bohm Effect, Magnetic, Paramagnetic and Nuclear Paramagnetic Resonances, Scattering Theory, Method of Partial Waves, Green Functions and Born Approximation, Scattering of Identical Particles
PHYS802 Advanced Semiconductor Devices(Credits: 3, ECTS: 8)
Element Semiconductors (Silicon and Germanium), Compound Semiconductors (III-V Compound Semiconductors (GaAs, InP, InSb, GaP), Oxide semiconductors (ZnO, TiO2, Fe3O4), Silicon Carbide), Device Fabrication (Crystal Growing, Crystal Cutting and Polishing, Chemical Etching, Plasma Etching Processing, Coating Methods, Insulator Layer Growing, Photoresist Applications), Integrated Device Application (A Simplified Silicon Microcircuit Fabrication Process, Ion Implantation, Implanted Doping Profile, Diffusion of Impurities, Integrated Circuits)
PHYS810 Condensed Matter Physics(Credits: 3, ECTS: 8)
Disordered systems, surface physics, strong-coupling superconductivity, quantum Hall effect, low-dimensional solids, heavy fermion systems, high-temperature superconductivity, solid and liquid helium. Masers and Lasers, devices, defect and alloys.
PHYS812 Quantum Theory of Solids(Credits: 3, ECTS: 8)
Properties of solids, electrical, optical, thermal, magnetic, mechanical, are treated based on an atomic scale picture and using the single electron approximation. Metals, semiconductors, and insulators are covered. including special topics such as superconductivity.
PHYS814 Advanced Group Theory(Credits: 3, ECTS: 8)
Rotation and Angular Momentum, Wigner or Clebsch-Gordan Coefficients, Tensor Operators, Wigner-Eckart Theorem, Quantum Mechanics of Atoms, Calculations of Matrix Elements Between Determinantal Wavefunctions, Hartree-Fock Method, Fine Structure Interactions, Zeeman Effect, Molecular Quantum Mechanics, Irreducible Representations for Linear Molecules, Group Theory and Molecular Orbitals, Group Theory and Normal Modes, Selection Rules for Electronic and Vibrational Transitions
PHYS819 Magnetic Properties of Matter(Credits: 3, ECTS: 8)
General Information About Magnetism, Diamagnetism, Paramagnetism, Ferromagnetism, Antiferromagnetism, Ferrimagnetism, Superferromagnetism, Magnetic Anisotropies, Magnetic Domains, Technological Applications
PHYS803 Advanced Molecular Physics(Credits: 3, ECTS: 8)
Definition of the molecule and basic concepts, Electronic structure of diatomic molecules, Vector model of diatomic molecules, Distinct atom approach, United atom approach, Molecular orbital theory, Chemical bonds, Hydrogen molecule, Hydrogen-ion molecule, Hartree-Fock method, Ligand-field theory, Electronic spectra of molecules, Applications.