PhD in Physics - Sarıyer - İstanbul - Koç Üniversitesi - I476

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PhD in Physics

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PhD in Physics - Kurumda - Sarıyer - İstanbul

  • Program tanımları
    Program Description

    Physics has always remained and still is at the center of science and technology.   The laws of physics that are reached through observations and careful experimentation find applications from the subatomic particles to the astronomic formations such as stars and galaxies. On the other hand, the design of advanced technology materials, fabrication of semiconductor devices, the development of optical communication systems have all evolved as applications of physics. Our department has both theoretical and experimental research activities. Quantum information theory, gravitation, and condensed matter physics are among our theoretical research interests. On the experimental research side, we have three advanced laboratories where we focus on solid state lasers, optoelectronic and nano-photonic materials and devices.   Our Ph.D. Program aims at teaching fundamental physics at a high level and coupling this knowledge with a research experience in either theoretical or applied physics depending on the interests of the student.
    Students who are admitted with an M.S. degree must complete at least 21 credits of coursework. They must also complete the core courses in the “M.S. in Physics” program. Students with a B.S. degree must complete an additional 21 credits of coursework by taking courses in the M.S. program.

    Research areas of interest
    • Photonic & Laser Materials
    • Microphotonics
    • Nanophotonics
    • Quantum physics, gravitation
    • Quantum optics, atomic, molecular and optical physics
    • Statistical mechanics of biophysical systems
    Faculty & Research Areas

    Tekin Dereli , Professor, Ph.D. METU, 1976
    Quantum information theory, phase space quantization, standard electroweak theory and string models, generalized theories of gravitation, gravitational waves.

    Ali Mostafazadeh , Professor, Ph.D. U. Texas-Austin, 1994
    PT-symmetric quantum mechanics, geometric phase in quantum mechanics, topological quantum symmetries, supersymmetry and parasupersymmetry, quantum cosmologies.

    Özgür Mustecaplıoğlu , Assistant Professor, Ph.D. Bilkent U., 1999
    Quantum optics, atomic, molecular and optical physics, photonics.

    Alkan Kabakçıoğlu , Assistant Professor, Ph.D. MIT, 1999
    Statistical mechanics of complex systems, structure and folding of biomolecules.
    Regulation of gene expression in cells.

    Alper Kiraz , Assistant Professor, Ph.D. U. Calif. Santa Barbara, 2002
    Nano-optics, single molecule spectroscopy, optoelectronics.

    Alphan Sennaroğlu , Professor, Ph.D. Cornell U. 1994
    Development and modelling of solid state lasers, ultrashort optical pulse generation, non-linear optics and spectroscopy.

    Ali Serpengüzel , Associate Professor, Ph. D. Yale U. 1992
    Photonics, optoelectronics, nanophotonics, biophotonics, non-linear optics, laser diagnostics.

    Curriculum

    In addition to the following courses, students in this program can take any of the courses listed under the “M.S. in Physics” program or from other courses not listed here in accordance with their areas of specialization and subject to the approval of their advisors.

    In addition, each student has to take a seminar course, PHYS 590 Seminar. Students working towards the thesis register for PHYS 695 Ph.D. Thesis. Students who have TA assignments must take TEAC 500: Teaching Experience during the semesters of their assignments. Students must also take ENGL 500: Graduate Writing course.

    PHYS 504   Advanced Quantum Mechanics II
    PHYS 505   Classical Electromechanics II
    PHYS 507   Statistical Mechanics   II
    PHYS 508   Optical and Laser Spectroscopy
    PHYS 509   Condensed Matter Physics I
    PHYS 510   Condensed Matter Physics II
    PHYS 511   Selected Topics in Theoretical Physics
    PHYS 512   Selected Topics in   Applied Physics
    PHYS 513 /MATH 503   Applied Mathematics I
    PHYS 514 / MATH 505   Applied Mathematics II
    PHYS 515   Classical Field Theories
    PHYS 516   General Relativity and Astrophysics
    PHYS 517   Quantum Field Theories I
    PHYS 518   Quantum Field Theories   II
    PHYS 519   Group Theory and Its Applications in   Physics
    PHYS 520   Optical Mico-cavities
    PHYS 521/ ECOE 521   Photonics and Lasers
    PHYS 522   Atom Optics
    PHYS 523   Introduction to Quantum Communication and Information Physics
    PHYS 524   Single Molecule Optics   
    PHYS 525/ ECOE 525   Photonic Materials and Devices
    PHYS 526   Femtosecond Optics and Lasers
    PHYS 527   Complex Dynamical Systems  
    PHYS 580   Selected Topics in Physics

    Course Descriptions

    PHYS 504 Advanced Quantum Mechanics II
    Rotations and angular momentum. Discretesymmetry operations. WKB approximation. Geometric phase. Formal theory of scattering.  

    PHYS 505 Classical Electrodynamics II

    Electromagnetic wave propagation in metallic and dielectric wave guides. Resonance cavities. Theory of diffraction. Special theory of relativity. Radiation by moving charges.  

    PHYS 507 Statistical Mechanics II
    Phase diagrams. Critical phenomena and universal scaling. Mean field and Landau theories. Kadanoff scaling theory. Position space and momentum space renormalization. Chaotic renormalization groups and spin-glass order. Quenched disordered and frustrated systems. Phase diagrams of quantum spin and electronic conductivity models.  

    PHYS 508     Optical and Laser Spectroscopy (Also PHYS 408 / MASE 550)
    Interaction of electromagnetic radiation with atoms and molecules, rotational spectroscopy, vibrational spectroscopy, electronic spectroscopy, spectroscopic instrumentation, lasers as spectroscopic light sources, fundamentals of lasers, nonlinear optical spectroscopy, laser Raman spectroscopy. 

    PHYS 509     Condensed Matter Physics I (Also PHYS 409)
    Free electron theory of metals. Crystal lattices.   Reciprocal lattice. Classification of Bravais lattices.   X-ray diffraction and the determination of crystal structures.   Electrons in a periodic potential. Tight binding method. Band structures.   Semi-classical theory of conduction in metals. Fermi surface. Surface effects.  

    PHYS 510     Condensed Matter Physics II
    Classification of solids. Theory of harmonic crystals.   Phonons and phonon dispersion relations. Anharmonic effects in crystals. Phonons in metals. Dielectric properties of insulators. Semiconductors. Diamagnetismand paramagnetism. Electron interactions and magnetic structure. Magnetic ordering. Superconductivity.  

    PHYS 511     Selected Topics in Theoretical Physics  

    PHYS 512     Selected Topics in Applied Physics  

    PHYS 513   Applied Mathematics I (Also MATH 503)
    Linear algebra: Vector and inner product spaces, linear operators, eigenvalue problems; Vector calculus: Review of differential and integral calculus, divergence and Stokes' theorems. Ordinary differential equations: Linear equations, Sturm-Liouville theory and orthogonal functions, system of linear equations; Methods of mathematics for science and engineering students.  

    PHYS 514   Applied Mathematics II (Also MATH 505)
    Calculus of variations; Partial differential equations: First order linear equations and the method of characteristics; Solution of Laplace, wave, and diffusion equations; Special functions; Integral equations.  

    PHYS 515 Classical Field Theories
    Lorentz   transformations and Minkowski space-time. Tensors and spinors. Variational formulation of relativistic wave equations.   Noether theorem: Symmetries and conservation laws.  

    PHYS 516 General Relativity and Astrophysics
    Basic differential geometric concepts. Space-time metric and connection.   Curvature and torsion tensors. Einstein field equations. Gravitational waves. Black holes. Big bang cosmologies.  

    PHYS 517    Quantized Field Theories I
    Quantization of free fields. Propagators. Interacting fields and the S-matrix. Loop expansion of the S-matrix and Feynman diagrams. Path integral techniques. QED. Radiative corrections. Renormalization. Effective field theories.  

    PHYS 518  Quantized Field Theories II
    Introduction to non-Abelian gauge field theories. QCD. Spontaneous symmetry breakdown and mass generation. Standard model of electroweak interactions. Non-perturbative effects. Supersymmetry.  

    PHYS 519 Group Theory and Its Applications in Physics
    Invariances of the Schrödinger equation. Conservation laws and spectrum degeneracies. Parity and time-reversal symmetries. Translation symmetries on lattices. Crystallographic space groups. SO(3) rotation group. Unitary transformations. Symmetries in nuclear and elementary particle physics. SU(2) and isospin. SU(3) and strangeness.      

    PHYS 521 Photonics and Lasers (AlsoECOE 521)
    Review of electromagnetism; electromagnetic nature of light, radiation, geometrical optics, Gaussian beams, transformation of Gaussian beams; electromagnetic modes of an optical resonator, interaction of light with matter, classical theory of absorption and dispersion, broadening processes, Rayleigh scattering, quantum theory of spontaneous and stimulated emission, optical amplification, theory of laser oscillation, examples of laser systems, Q switching and mode locking of lasers.
    Prerequisite: ELEC 206 or PHYS 302 or consent of the instructor.  

    PHYS 520 Optical Micro-cavities
    Optical micro-cavities. Fabry-Perot cavity. Quality factor. Finesse. Free-spectral bands. Whispering gallery   modes. Coupling. Photonic molecules, glasses, crystals and meta-materials.  

    PHYS 522   Atom Optics
    Quantized atomic models. Spectroscopy. Light-atom interactions. Radiative transitions. Atom-atom interactions. Magnetic interactions of atoms. Molecular structure. Multi-electron systems. Trapping ions or atoms. Atom optics. Bose-Einstein condensation. Atomic chips. Quantum computation by matter waves and trapped ions.  

    PHYS 523  Introduction to Quantum Communication and Information Physics
    Quantum theory of light. Coherent light. Non-classical states of light. Quantum interferometry. Quantum measurements. Interaction of light with matter. Cavity quantum electrodynamics. Quantum entanglement and quantum teleportation. Non-linear optics. Photonic band gaps. Quantum information theory and the fundamental principles of quantum computation.  

    PHYS 524  Single-Molecule Optics  
    Principles of optical microscopes. Microscopy methods. Photo-physics of dye molecules. Exciting fluorescence and its observation. Dipole radiation near planar interfaces. Photon-counting analysis. Flourescence   correlation spectroscopy. Flourescence resonance energy transfer (FRET). Optical spectroscopy at low temperatures. Semiconducting nano-crystals. Metallic nano-particles.  

    PHYS 525 Photonic Materials and Devices (Also ECOE 525)
    Survey of the properties and applications of photonic materials and   devices; semiconductors; photon detectors, light emitting diodes, noise in light detection systems; light propagation in anisotropic   media, Pockels and Kerr effects, light modulators, electromagnetic wave propagation in dielectric waveguides, waveguide dispersion; nonlinear optical materials, second harmonic generation, Raman converters.
    Prerequisite : ELEC 206 or PHYS 302 or consent of the instructor.  

    PHYS 526 Femtosecond Optics and Lasers
    Survey of the techniques for the generation of picosecond and femtosecond pulses from lasers; active and passive mode locking, saturable absorbers, master equation, theory of Kerr lens mode locking; propagation of ultrashort pulses in nonlinear and dispersive media; Measurement and characterization of ultrashort pulses; applications of femtosecond lasers in spectroscopy, medicine, and industry.  

    PHYS 527  Complex Dynamical Systems
    Random walk problems and probability concepts. Theory of polymers. Statistical mechanical concepts with emphasois on self-avoiding walks and biological polymer models: ensembles, free energy, entropy, scaling. Lattices as interacting models of random systems and phase transitions.   Dynamical phenomena: Master equation (Examples: random walk and lattice growth), Langevin equation and its generalizations. Chaos and order.    

    PHYS 580     Selected Topics in Physics
    Topics will be announced when offered. 

    PHYS 590 Seminar
    A series of lectures given by faculty or outside speakers. Participating students must also make presentations during the semester. 

    PHYS 695   Ph.D. Thesis
    Independent research towards Ph.D. degree.  

    TEAC 500 Teaching Experience
    Provides hands-on teaching experience to graduate students in undergraduate courses. Reinforces students' understanding of basic concepts and allows them to communicate and apply their knowledge of the subject matter.  

    ENGL 500 Graduate Writing
    This is a writing course specifically designed to improve academic writing skills as well as critical reading and thinking. The course objectives will be met through extensive reading, writing and discussion both in and out of class. Student performance will be assessed and graded by Satisfactory/Unsatisfactory.
     

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