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Physical quantities; vectors and scalars; static equilibrium; uniformly accelerated motion; Newton`s laws; work and energy; conservation of energy; linear momentum; impulse; collisions; angular motion; Newton`s law of gravitation; rotational work, energy, and momentum; mechanical properties of matter.

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Static electricity, interaction of charges, electric field, electric potential, electric current and circuits, magnetism, Faradays law of induc-tion, electromagnetic waves, light and optics.

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Vectors; kinematics; particle dynamics work and energy; conservation of energy; system of particles; collisions; rotational motion; oscillations.

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Electric charge; electric field; Gauss` law, electric potential; capacitance; current and resistance; circuits; magnetic field; Ampere`s law; Faraday`s law of induction; electro-magnetic oscillations; alternating currents.

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Experimental Studies of Mechanics.

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Experimental studies of electricity and magnetism.

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Vectors, translational kinematics and dynamics work and energy, system of particles, rotational kinematics and dynamics, equilibrium, gravitation oscillations, waves, fluid mechanics, statistical mechanics, heat and thermodynamics.

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Electric field and Gauss law, electric potentials capacitors, current and DC circuits, magnetic field, magnetic field due to currents, induction, magnetism of matter, Maxwell`s equations, electromagnetic oscillations and AC circuits, electromagnetic waves.

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Fundamental principles and theories of mechanics; translational motion; rotational motion; gravitation; oscillations.

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Electric charge, Coulomb`s law, electric field and Gauss`s law, electric potential and electric potential energy, capacitance and capacitors, current and resistance, circuits and loop theorems, magnetic field and Ampere`s law, Faraday`s law of induction, alternating currents, Maxwell`s equations, electromagnetic oscillations and waves.

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Physics and measurement; vector and scalar quantities; describing motion: one dimensional motion; two dimensional motion; motion and force: dynamics; circular motion; work and energy; conservation of energy; linear momentum; rotational motion; static equilibrium and elasticity; vibrations and waves; sound.

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Electric charge and electric field; electric potential and electric potential energy; electric currents; DC circuits and instruments; magnetism; electromagnetic induction andd Faraday`s law; electromagnetic waves; semiconductors, diodes and transistors.

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Conducting basic computer-based tasks such as document preparation, plotting graphs, analysis and presentation of errors that may arise from computation as well as more complex ones such as converting a problem into an algorithm and solving it using a computer language.

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Special theory of relativity; particle properties of waves; wave properties of particles; Atomic structure; elementary quantum mechanics; many electron atoms; nuclear structure and radioactivity.

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DC circuit analysis: branch, mesh and node analysis, and the superposition, Thevenin and Norton theorems; Phasers and complex numbers; AC circuit analysis using the same methods used in DC circuits; Power and energy; RLC circuits; Transformers; Diodes and transistors, and their applications; Intro-duction to digital electronics; Transducers.

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Ordinary differential equations; boundary value problems and characteristic function representations; Fourier transforms; partial differential equations and the methods separation of variables.

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Vector analysis; orthogonal curvilinear coordinates; functions of a complex variable.

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Temperature, heat and laws of thermodynamics. Thermal expansion, ideal gases, kinetic theory of gases. The wave nature of light, diffraction, interference, polarization and related phenomena. Special theory of relativity. Early quantum theory and atomic models, introduction to quantum mechanics. Time-independent Schrodinger,s equation and application to simple potentials.

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Introduction; geometrical optics; matrix methods in paraxial optics; aberrations; optical instrumentation and the optics of the eye. superposition of waves; interference of light; coherence; polarization; Fraunhofer diffraction.

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Various experiments on mechanical oscillations, properties of light, geometrical and physical optics, optical properties of matter.

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States of matter; classes of materials; atomic bonding; structural properties of matter; X-ray diffraction; experimental diffraction methods; imperfections in solids; atom movements and diffusion; mechanical properties of matter; electrical properties of matter; semiconductors.

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Electrical properties; semiconductors; semiconducting devices; thermal properties; phase diagrams; magnetic properties; optical properties, transport properties, super-conductivity.

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Optics: ray model of light; reflection and refraction; mirrors; thin lenses, simple optical instruments, waves, interference, diffraction, polarization. Modern Physics: special theory of relativity, particle properties of waves, wave properties of particles, Bohr model of atoms; introduction to quantum mechanics, nucleus and radioactivity.

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Historical experiments and theories; the postulates of quantum mechanics; function spaces and Hermitian operators; superposition and computable observables; time development; conservation theorems and parity; one-dimensional problems; bound and unbound states.

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Operational amplifiers; feedback; signal processing circuits; power supplies; waveform generators; contemporary semiconductor devices; complex measurement systems.

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Number systems and Boolean algebra; logic gates and their applications; memory elements; counters, registers and readout systems; A/D and D/A converters; microprocessors.

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Several experiments in modern physics.

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Selected experiments in various areas of physics, designed to familiarize the student with experimental techniques and laboratory instruments.

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Crystalline state; interatomic bonding; lattice vibrations and thermal properties; free electron theory of metals; band structure.

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Properties of fluids; molecular structure and the continuum hypothesis; the fundamental law of viscosity; pressure variation in static compressible and incompressible fluids; description of fluid motion using Lagrangian and Eulerian methods; principle of mass conservation and Bernouilli`s equation; analysis of rotational and potential flows; stream function, velocity potential and Cauchy-Riemann conditions.

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Nuclear properties and nuclear models; alpha, beta and gamma decays; the Mössbauer effect; excited states of nuclei; fission and fusion; elementary particles; nucleon forces; fundamental interactions and conservation laws; hyper charge and quarks; isospin; pions and muons.

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Principles of electrostatics and magnetostatics.

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Fundamentals of electrodynamics.

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Newtonian mechanics with the use of an advanced calculus.

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Essential principles of Lagrangian and Hamiltonian formulation of classical systems.

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Introduction to the use of compiled and pre-compiled computer languages in basic problems in Physics.

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Introduction to basic energy principles and thermodynamics, descriptions of various forms of energy, energy resources and fundamental physical principles of various energy processes, physics in energy technologies, energy production, storage and transmission.

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Development of science and technology, and their effects on human society.

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One-term short research project to give practical experience.

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General properties of the nucleus, nuclear force and two-nucleon systems; models of nuclear structure; nuclear decay and radioactivity: alpha, beta and gamma decay.

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Nuclear reactions; nuclear fission; nuclear fusion; fundamental interactions in nuclei: nucleon structure, the strong interaction, the electroweak interaction; nuclear astrophysics.

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Nuclear radiation and its detection; detectors and equivalent circuits; pulse electronics and processing circuits; gamma-ray spectroscopy and other applications.

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Introduction to particles; discoveries of particles; classification of particles and their interactions; relativistic kinematics; measurement techniques, accelerators, detectors; introduction to Feynman calculus.

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Quantum electrodynamics; the Feynman rules for QED; Parton model; Bjorken scaling; quantum chromodynamics and color forces; weak interactions of leptons and quarks; electroweak unification; introduction to gauge theories.

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Energy bands, p-n junctions, Fermi surfaces, electron dynamics in external fields, optical properties, dielectric properties, magnetic properties.

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Superconductivity, review of magnetic properties, magnetic resonance, Masers and Lasers, devices, defect and alloys.

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Small research and development projects under the supervision of a faculty member.

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Special purpose circuitry for sensors, computer interfacing, GPIB interface system, data acquisition, principles of sensors, temperature sensors, pressure sensors, motion and acceleration sensors.

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Fundamentals of light detectors. Photoconductors, photodiodes, and solar cells. Semiconductor UV light detectors. p-i-n detectors for visible light. Schottky type infrared detectors. Charge Couple Devices (CCD) for imaging. Semiconductor x-ray sensors. Gas sensors. Humidity sensors, Biosensors, Sound sensors and ultrasonic measurement systems.

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Maxwell`s Equations; the planar slab waveguide, step-index circular waveguides, dispersion, graded-index waveguides, attenuation and nonlinear effects.

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The beam propapation method, coupled mode theory and application, coupling between optical sources and waveguides, noise and dedection, optical detectors, optical radiation and amplification, fiber-optic sensors.

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Basic principles of laser light; properties of laser and physical background of production; laser resonators, mirrors and modes; the types of lasers; solid-state lasers, gas lasers, liquid lasers, semiconductor lasers and lasers to come.

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Laser principles and properties; laser spectroscopy; measurement with laser; isotope separation with laser; laser fusion; LIDAR; laser communications; laser as a heat source; holography.

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Definition of plasma, plasma frequency, gyro frequency, Debye length, Orbit theory; plasmas as fluids; waves in plasmas; CMA diagram; diffusion and resistivity in weakly ionized gates.

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Ideal MHD equations; single and two fluid equations; equilibrium and stability; equations of kinetic theory; derivation of fluid equations; Landau damping; nonlinear plasma physics; shock waves; parametric instabilities.

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The macroscopic and microscopic states; statistical basis of thermodynamics; proba-bility concept; quantum and statistical nature of probability; elements of ensemble theory; macrocanonical, canonical and grand canonical ensembles quantum and classical statistics; Fermi-Dirac and Bose-Einstein systems, and some other applications.

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Characteristic features of macroscopic systems, introduction to concept of ensembles, states accessible to a closed system; thermal interaction, entropy and temperature, mec-hanical and diffusive interactions, canonical ensembles and its applications, introduction to Fermi-Dirac and Bose-Einstein statistics.

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Postulates of quantum mechanics; Dirac delta function and Dirac notation; the Schrödinger equation in three-dimensions; angular momentum; the radial equation; the hydrogen atom; interaction of electrons with electro-magnetic field; operators, matrices, and spin; the addition of angular momenta; time-independent perturbation theory.

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The real hydrogen atom; atomic and molecular structure; time dependent perturbation theory; radiation; radiation; collision theory.

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Series; calculus of variations; integral transforms: integral equations; Green`s function.

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Systems of first order differential equations; classification of fixed points; flows on a circle; bifurcations; phase portraits; limit cycles; Poincarè-Bendixson theorem; closed orbits and periodic motion; Lienard systems.

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Hopf bifurcations and spontaneous symmetry breakdown; hysteresis in driven oscillators; coupled oscillators and quasiperiodicity; Lorenz equations; chaos on a strange attractor; one-dimensional maps; Liapunov exponents; universality; renormalization group equations; self similarity and fractals.

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This course is a hands-on introduction to the use of Quantum Computers with a focus on basic sciences. Students will learn concepts such as Quantum Fourier transform, Quantum Walk Algorithms, Hamiltonian Simulation, Common error channels and Fault-Tolerant Quantum Computation, Quantum Machine Learning and Other paradigms in Quantum computing (Quantum cluster state model, Bosonic sampling, etc.)

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Main processes and systems for the production of integrated circuits.

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Junction effects; minority injection; transport phenomena; recombination-generation mechanism; tunneling; a.c equivalent circuit; breakdown of a junction; light absorption and emission of a semiconductor.

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Errors; distributions; interpolation techniques; linear system of equations; numerical quadrature; estimation of mean and errors; linear least square minimization and data fitting; maximum likelihood; goodness of fit.

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Numerical solution techniques of nonlinear equations and ordinary differential equations; optimization and non-linear least squares; simulation and random numbers; time series analysis and Fourier techniques; method of finite differences; partial differential equations.

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Fundamental concepts of stochastic processes; special processes in physics; Brownian motion, Fokker Planck equation; diffusion; noise.

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Atomic and nuclear structure, radioactivity, interaction of radiation with matter, radiation detection and measurement, radiation dosimetry, biological effects of ionizing radiation, radiation protection and non-ionizing radiation.

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An overview of quantum information. A review of classical information theory. Foundations of quantum mechanics from a quantum information point of view. Quantum entanglement and its uses. Entropy.

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Measurements and estimations of solar radiation; calculation of solar energy reaching inclined surfaces; fundamentals of heat transfer and applications to solar energy; low temperature solar energy conversion; solar heating and cooling; energy storage; economical aspects; special topics.

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Galilean relativity and absolute motion in space; Axiomatic formulation of special relativity; Minkowski spacetime; Lorentz transformations and physical consequences; Covariant formulations of relativistic mechanics, Optics and electrodynamics.

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General introduction, tensor calculus; The principles of general relativity; The field equations of general relativity; General relativity from a variational principle; The energy-momentum tensor; The Schwarzchild solution; Experimental tests of general relativity.

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Review of special relativity and electromagnetism, relativistic point particle, relativistic strings, Nambu-Goto action, string parameterization and classical motion, world-sheet currents, light-cone gauge formulation of particles, fields and strins. Quantization of the relativistic point particle, open and closed strings in the light-cone gauge. Aspects of covariant quantization.

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D-branes and gauge fields, string charge and D-branes charges, T-duality of closed and open strings on D-branes, non-linear and Born-Infeld electrodynamics, introduction to superstrings

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Vector spaces; algebras; topological spaces; simplicial homology; homotopy groups; differentiable manifolds; vectors and tensors; calculus of exterior forms; Stokes theorem; conservation laws and de Rham cohomology; parallel transport; connection and covariant derivative; geodesics; curvature and torsion. geometry of space-time.

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Lie groups on manifolds; Lie algebras; differential forms with values in a Lie algebra; fibre bundles; connection in a fibre bundle; curvature form. Gauge invariance; Maxwell and Yang-Mills equations; systems with spontaneous symmetry breakdown; Higgs mechanism; Hopf invariants; magnetic monopoles; characteristic classes; instantons.

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Differential equations of physics and the method of separation of variables; Legendre polynomials; associated Legendre polynomials; Laguerre polynomials; Hermite polynomials; Bessel functions; Gauss hypergeometric functions; Sturm-Liouville theory.

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Basic group theory. Group representations. Discrete and continuous groups. Orthogonal, unitary groups. Lorentz and Poincare groups. Applications to quantum mechanics, solid state physics, atomic, nuclear and particle physics.

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Program of research leading to M.S. degree arranged between the student and a faculty member. Students register to this course in all semesters starting from the beginning of their second semester.

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Elements of the classical and quantum statistics, the partition function, ideal Fermi gas, ideal Bose gas, Ising model and some applications of statistical mechanics.

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Lagrange's equation, central force problem, Rigid body problem, small oscillations, Hamilton's equations, canonical transformations, Hamilton-Jacobi theory, introduction to continuous systems and fields.

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Functions of a complex variable, special functions of mathematical physics, partial differential equations.

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Integral equations, Series, calculus of variations, Green's function, group theory and applications.

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Electrostatics and magnetostatics; associated boundary-value problems and their solutions: introduction to Maxwell's equations and their simple consequences.

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Diffraction radiation; introduction to special relativity and the covariant formulation; radiation from moving charges; multiple expansions; radiation reaction.

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Fundamental concepts; quantum dynamics; theory of angular momentum and central potential problems; Wigner-Eckart theorem and addition of angular momenta; symmetry in quantum mechanics; approximation methods for time-independent and time-dependent perturbations.

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Systems of identical particles and second quantization; semiclassical and quantum theory of radiation; scattering theory; relativistic single-particle equations; Dirac equation and central potential problems.

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Spacetime manifold. Causal structure. Lorentzian metric. Tensors on manifolds. Orthonormal frame bundles. Connection and curvature. Einstein equations. Variational methods. Noether's theorem. Conservation laws. Schwarzchild geometry. Kruskal extension. Interior solutions. Formation of black holes. Black hole temperature and entropy. Charged rotating black holes. Gravitational waves.

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Homogeneity and isotropy of the universe. Maximally symmetric spaces. Bianchi types. Standard cosmological model. Observational cosmology: expansion of the universe. Dust filled and radiation filled universes. Inflationary models. Initial and final singularities (Big bang and big crunch). Chaotic mixmaster cosmology. Quantum cosmology. Wheeler-deWitt equation. Quantum field theory in curved spacetimes.

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Lie groups. Lie algebras. Symmetry groups of differential equations. Invariant forms on Lie groups. Ideals, solvability and nilpotency. Cartan subalgebras and root spaces. Coxeter-Dynkin diagrams. Classical Lie algebras. Representation theory. Tensor products. Enveloping algebras and Casimir operators. Physical applications.

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Vector spaces and inner products. Algebra and their representations. Clifford calculus on manifolds. Spinor fields. Dirac equation. Covariances of the Dirac equation. Conversed currents.

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Integrable nonlinear partial differential equations such as the Korteweg-de Vries and the Nonlinear Schrodinger equations, Solitons, Hamiltonian systems, Inverse scattering transform technique, Lax pairs, Painleve analysis.

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Computer simulation methods, empirical potential energy functions (PEFs), useful and practical relations for empirical PEFs, surface models of cubic crystals, some sampler computer programs and data, algorithms for thermostat in MD and MC simulations.

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Introduction to molecular structure: Electronic, vibrational and rotational energies of molecules. Dipole transitions; electronic structure analysis of diatomic molecules, hybridization; general methods of molecular calculations; spectroscopic methods and spectroscopic analysis of small molecules.

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Principles of quantum optics; optoelectronic materials; rare-earth-doped silica fiber lasers; cw performance of fiber optics; Q-switching of optical fiber lasers; digital optics; atmospheric and intersattelite optical communications; thermal imaging; ring laser gyro.

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Lattice vibrations (phonons), lattice Green s functions, local modes, electron energy bands, density of states calculations, optical properties of solids, transport properties.

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Energy band theory, localized states, surface states and adsorption, many-body techniques, superconductivity, magnetism.

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Nonrelativistic many-particle systems, ground-state formalism, Green's function, Fermi systems, Bose systems, linear response and collective modes.

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Basic processes: oxidation, doping, silicon thin film growth (amorphous, polycrystalline, single- crystalline).

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Bipolar transistors, unipolar transistors; bipolar transistor theory, integrated circuit transistors, junction field effect transistors, surface field effect transistors, design considerations for unipolar transistors in integrated circuits, applications.

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The dia-and paramagnetic behavior of solids for static applied fields, the properties of ferro-magnetic, antiferromagnetic, ferrimagnetic solids; magnetic properties depending on the frequency of an alternating applied magnetic fields, the maser.

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Optical constant of solids, band structure of semiconductors, absorption processes in semiconductors, radiative recombination and photoconductivity in semiconductors.

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Classical field theory. Canonical quantization of Klein-Gordon, Dirac and Maxwell fields. Interacting fields, perturbation theory and Feynman diagrams. Elementary processes of quantum electrodynamics. Radiative corrections. Divergences, regularization and renormalization.

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Gauge field theories and functional integral formulation. Systematics of renormalization. Renormalization and symmetries. Renormalization group. Non-Abelian gauge theories and their quantization. Quantum chromodynamics. Anomalies. Gauge theories with spontaneous symmetry breaking.

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Group theory, anomalies in gauge theories, Wilson operator expansion in gauge theories, current algebra, CVC and PCAC.

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Electromagnetism as a gauge theory; Klein-Gordon and Dirac wave equations; introduction to quantum field theory of bosons and fermions. Quantum electrodynamics: interactions of spin 0 particles and spin 1/2 particles, deep inelastic electron-nucleon scattering and the quark parton model.

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Non-Abelian gauge theories; introduction to quantum chrodynamics, phenomenology of weak interactions; hadronic weak current and neutral currents; hidden gauge invariance; spontaneous symmetry breakdown; Hooft's gauges; Glashow-Salam-Weinberg gauge theory of electro-weak interactions; intermediate bosons; Higgs sector; grand unification; supersymmetry.

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Design philosophy of high energy particle physics experiments, developments in accelerators and beam optics, neutrino beams, hybrid detector systems, scintillation counters, Cherenkov counters, wire chambers, drift chambers, emulsion chambers, calorimeters, spectrometers. On-line and off-line analysis techniques. Selected recent experimental set-ups at CERN, DESY, SLAC and FERMILAB.

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Lie superalgebras. Superspace and superfields. Dynamics of spinning point particles. Spinning string dynamics. Wess-Zumino model. Supersymmetric Yang-Mills theories. Simple supergravity theory. Extended supergravities.

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Principal fibber bundles and connections. Curvature and G-valued differential forms. Particle fields and gauge invariant Lagrangians. Principle of least action and Yang-Mills field equations. Free Dirac electron fields. Interactions. Orthonormal frame bundle. Linear connections and Riemannian curvature. Unification of gauge fields and gravitation.

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General properties of the nucleus and the nuclear many-body problem, nuclear forces, static properties, nuclear matter, Hartre-Fock theory, nuclear shell model. Collective models of the nucleus, deformed nuclei, nuclear rotations. Particle hole states and pairing in nuclei.

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Electromagnetic and weak interactions with nuclei; electron scattering, beta decay, muon capture, neutrino reactions, weak neutral current effects. Hadronic interactions; pion-nucleus interaction, optical potential, nuclear reactions, heavy ion collisions.

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General features of nanoscience and nanotechnology, experimental techniques for characterization of nanosystems, fabrications of nanosystems, atomistic simulations of nanosystems, methods of quantum calculations for nanosystems, types of nanoscale materials and their properties, physics of atomic and molecular clusters and nanoparticles, carbon Nanostructures, applications of nanotechnology.

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Derivation of fluid and MHD equations; hydrostatic equilibrium and hydromagnetic stability; MHD instabilities; hydrodynamic waves; current topics.

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The basic equations and conservation laws; first order orbit theory; adiabatic invariants; ideal MHD model; plasma equilibrium and stability; energy principle; plasma waves; waves-particle interaction; wave-wave interaction; weak turbulence theory.

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Kinetic properties of coronal gas; hydrostatic properties of coronal atmosphere; extension of the solar wind into space; interplanetary magnetic fields; interplanetary irregularities; propagation of energetic solar particles; pulsars.

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Energy alternative thermonuclear fusion; inertial and magnetic confinement systems; Tokomak, stellorators and mirror machines; plasma focus and pinches; alternative magnetic confinement systems; Laser fusion systems; concept of fusion reactors; formation and heating of a plasma.

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Basic plasma parameters; plasma production and plasma diagnostics; plasma waves and instabilities; space plasma physics and plasma astrophysics; physics of plasma propulsion; thermonuclear fusion; industrial plasma applications.

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Solar thermal properties, solar materials, alternative energy sources.

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Production and properties of x-rays; absorption and scattering of x-rays; geometry of crystals; theory of x-ray diffraction; structure factors; experimental diffraction methods; space group and structure determination; ultrasonic wave propagation in solids, elasticity in crystals, determination of elastic wave velocities and the elastic module

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Various applications of x-ray diffraction methods; determination of unknowns, precise parameter measurements; orientation of single crystals; x-ray fluorescence and chemical analysis; x-ray effects due to phase transformations; x-ray scattering due to amorphous and disordered matter; high pressure x-ray diffraction methods; neutron and electron diffraction ultrasonic pulse echo methods and sound velocity measurements.

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This course covers the phenomenological and experimental aspects of neutrino physics. The topics include the history of neutrino physics, neutrinos in the Standard Model, neutrino mass, neutrino interaction, neutrino mixing, neutrino oscillations, Solar neutrinos, atmospheric neutrinos neutrino oscillations experiments, supernova and relic neutrinos and direct measurement of neutrino masses.

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Principles of tunneling phenomena & Scanning Tunneling Microscope (STM) Theory, scanning mechanisms: piezoelectric and coil, course approach, vibration isolation, data acquisition, feedback control: analog, digital, feed forward etc., Atomic Force Microscopy (AFM): theory, force detection methods in AFM, contact mode AFM, tapping mode AFM, non-contact mode operation of AFM & true atomic resolution, atomic manipulation, nanolithography, fast SPMs, SPM in liquids, operation in extreme environments, other SPM methods: MFM, SHPM, EFM, NSOM etc.

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Analysis of different fluid methods of computational plasma physics with application to space, laboratory, and industrial plasmas. The applicability of the models, their theoretical foundations, and methods of numerical solution are considered. Computational experiments on the basis of the Matlab/Octave and COSMOL Multiphysics models are carried out in computer class. Topics include finite volume, finite difference, and finite element methods, applied to the problems related to plasma phenomena.

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Optical properties of nanoscale matter, far-field imaging techniques, scanning near-field imaging techniques, field enhancement at conducting surfaces, metal nanoparticles, localized surface plasmons, plasmon polaritons, plexitons, surface enhanced Raman spectroscopy, tip-assisted optical spectroscopy and microscopy, Förster resonant energy transfer, plasmonic solar cells, single molecule optics, metamaterials and nanophotonics, optical antennae, Fano resonance, nonlinear plasmonics.

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Students prepare and present a progress report or literature review on their thesis topic. The course is normally taken by students in their third semester.

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Discussion of research methods and various ethical issues facing practicing physicist when obtaining, recording and analyzing data; publishing research results; collaborating with other scientist; interacting with society. Historical and sample case studies; N-ray affair; cold fusion affair.

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Program of research leading to Ph.D. degree arranged between the student and a faculty member. Students register to this course in all semesters starting from the beginning of their third semester.

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Students learn and practice on how to get prepared for giving a seminar to an audience, as well as learning details of thesis process in Physics. Students are encouraged to take the course at the first semester of their program.

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FUNDAMENTALS OF INTER.AND THIN FILM ANA

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ELECTROMAG.WAVES AND ELECTRO-OPTICS

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Effective Theory Concept, Standard Model, Renormalization, Effective Theory of Weak Interactions, Chiral Perturbation Theory

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Quantum Communication. Quantum Computation: quantum gates and circuits, quantum algorithms. Quantum error correction. Physical implementations.

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Review of basic principles of optics, functions of parallel plates, mirrors, lenses and prisms in optical systems. Design and diagnosis of an optical system, minimization of aberrations, computer aided design applications.

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Introduction to computational methods in modern solid state physics and materials science. Ground state density functional theory and classical/ab initio molecular dynamics. Solid-state theory based approach with and emphasis on the calculation of basic materials properties from an atomistic point of view. Theoretical background supplemented by exercises in the laboratory.

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Satellite missions in X-rays and Gamma-rays, data processing, detector descriptions. Theory of spectroscopy and analysis spectroscopic data from several satellite missions. Identification of lines and characteristics of space plasma in different astrophysical sources.

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Fundamentals of magnetic resonance spectroscopy. Electron spin resonance (ESR). Magnetic properties of materials.Spin dynamics. Bloch Equations. Longitudinal and transverse relaxation. Principles of time domain spectroscopy: Quadrature detection, Phase Cycling, Spin echo. MW and RF pulses. Advanced pulsed ESR experiments: ESEEM, HYSCORE, ENDOR. Resonators. Electronic structure determination. Simulation with spin-Hamiltonian formalism. Calculation of ESR parameters with DFT. Applications for transition metal complexes, catalysts, organic radicals, metalloenzymes, proteins, thin film solar cells, perovskites, nanomaterials, quantum computing (coherence time for qubits).

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Principles of Einsteins gravity theory, massive gravity, higher order derivative gravity theories, perturbation methods in modified GR theories, vacua of modified GR theories, scattering amplitudes in higher order derivative gravity, Born-Infeld (BI) type gravity theories, unitarity of BI theories.

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Optical properties of nanoscale matter, far-field imaging techniques, scanning near-filed imaging techniques, field enhancement at conducting surfaces, metal nanoparticles, localized surface plasmons, plasmon polaritons, plexitons, surface enhanced Raman spectroscopy, tip-assisted optical spectroscopy and microscopy, Förster resonant energy transfer, plasmonic solar cells, single molecule optics, metamaterials and nano photonics, optical antennae, Fano resonance, nonlinear plasmonics.

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Classical theory of absorption and dispersion, elementary quantum theory of light-matter interactions, rate equations, absorption, transition dipole moment, local density of states, spontaneous emission, stimulated emission, line shape functions, broadening mechanisms (collision, Doppler, lifetime), analysis of 2-, 3-, 4-, level systems, optimal amplification, gain and saturation. Gaussian optics: Derivation of Gaussian electromagnetic beams, application of matrix transformation to Gaussian beams, and beam characterization, introduction to basic Fourier optics: Optical resonators and cavities: resonant modes and frequencies of an optical resonator. Introduction to nonlinear optics.

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Geometry of Moyal-Weyl spaces, star products and their uses in quantum physics. Description of fuzzy spaces and their properties. Scalar, spinor, gauge field theories and topologically nontrivial configurations over fuzzy spaces.Fuzzy spaces as extra dimensions in gauge theories. Matrix models in string and M-theory and their fuzzy vacua.

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Quantization of the electromagnetic field, coherent states, squeezed states, Glaubers optical coherence measures, atom-field interaction, two-level atoms, Rabi model, Jaynes Cummings model and cavity-QED, three-level atoms, electromagnetically-induced transparency.

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Quantum statistics, classical and quantum fields, second quantization, Bose and Fermi Hubbard models, Electron gas and Landau-Fermi liquid theory, Feynman path integral and Functional integral formalism, Phase transitions and spontaneous symmetry breaking, Bose-Einstein condensates, Superconductivity, Magnetism and quantum spin models.

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A theoretical course on plasma diagnostics, describing experiments to study plasma diagnostics and instrumentation. Basic approach to invasive and non-invasive diagnostic in general, physics probes, plasma emission and radiation probes, fusion grade plasma diagnostic, laser spectroscopy, particle beam diagnostics, analysis of active and passive diagnostic data, fluctuation analysis.

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