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ppM.Sc. Programme
PHYS 501 Mathematical Physics I (2+0) credit hours.
Review of ordinary differential equations. Bowed Stretched String. Expansion of Greens function. Electrostatics, Forced drum. Helmhoetz equation, radiation. Point source. Diffusion Neumann series. Frodholm formulae. Hilbert theory.
PHYS 502 Mathematical Physics II (2+0) credit hours.
The discountinuity problem. Dispersion relations. Spectral representations. Greens functions and Fourier transforms. Laplace and Mellin transforms. Partial differential equations. Potential on semi-infinite plate. Diffraction by a knife edge.
PHYS 503 Experimental Data Analysis (1+1) credit hours.
Advanced Measuring instruments. Errors in physical measurements. Automatic a data acquisition and data organization. Distribution functions and their relations to physical measurements and characteristics. Curve analysis and its numerical techniques. Interpolation and extrapolation. Fourier analysis. Approximation methods in physics. Perturbative calculations of energy levels and spectra. Computer programming with relevant examples from physics.
PHYS 512 General Relativity I (3+0) credit hours.
Review of Tensor Calculus, field equations and Schwartzchild solution. Integral conservation laws. Electromagnetism in general relativity. Linearlized theory of gravitation. Far fields. Gravitational Waves. The Cauchy problem in general relativity.
PHYS 513 General Relativity II (3+0) credit hours.
Invariant characterization of exact solution. Killing vectors. Solutions with special symmetry properties. Gravitational collapse and black holes. Global techniques. Singularity Theorems.
PHYS 530 Electromagnetic Theory
Review of Maxwells Equations. Propagation of electromagnetic waves. Reflection and refraction. Wave guides of resonant cavities. Radiating systems. Special relativity and electromagnetic fields.
PHYS 531 Laser Physics (3+0) credit hours.
Basic Laser Theory. Threshold condition and rate equations. Theory of oscillation and radiation modes for resonators. Q-switching and mode locking. Types of Lasers; Conventional Lasers; X-ray and x-ray lasers. Non-linear phenomena; Frequency conversion. Raman Effect, Multiphoton absorption. Laser applications in engineering, Communications, Radar, Holography and Optical data processing and Laser Isotope separation.
PHYS 532 Quantum Optics Laboratory (0+3) credit hours.
Optical Pumping Experiments. Fiber Optics Characteristics measurements. Holography. Spatial Filtering. Raman Scattering. Study of Characteristics of Nitrogen Laser Pumped Dye Laser System.
PHYS 534 Laser Spectroscopy of Diatomic Molecules (3+0) credit hours.
Types of bonding in molecules. Rotational, Vibrational and Electronic spectra of diatomic molecules. Separated and United atom approximations. Classification of electronic terms. Method of Molecular orbital. Configuration Interaction. French- Condon Principles. Hunds coupling cases. Selection Rules. Vander Waals Binding. Dissociation and Predissociation. Determination of repulsive potential curves by Laser Photodissociation studies.
PHYS 535 Atomic Spectroscopy (3+0) credit hours.
Hydrogen atom. Electronic configurations of atoms. Penetrating orbits in alkali metals. Landes theory for fine structure splitting. Coupling Schemes for two-valence electrons. Term designation of atoms with equivalent electrons. Configuration interactions. Life-time transition probability, Oscillator strengths. Zeeman & Stark effects. Natural and collisional broadening and shift of spectral line. Hyperfine structure. Very high resolution spectroscopy by RF Optical summing, Level crossing and double resonance techniques.
PHYS 540 Statistical Mechanics (2+0) credit hours.
Postulates of quantum statistical mechanics. Micro canonical ensemble. Grand canonical ensemble. Ideal Bose gas, Photon gas. Ideal Fermi gas. Degeneracy pressure; equilibrium in stellar structure. Interacting systems. Mayer cluster expansion.
PHYS 551 Quantum Mechanics I (2+0) credit hours.
Applications of quantum theory in atomic, molecular and nuclear physics. Rotation group. Representations. Clebsch Cordan Coefficients. Spin-orbit interaction. Hyperfine Structure. Scattering theory. Phase shifts. Resonances. Analytic S-matrix.
PHYS 552 Quantum Mechanics II (2+0) credit hours.
Relativistic wave equation, Dirac equation. Electron in interaction. Quantum theory of radiation. Second quantization. Many-body theory.
PHYS 555 Quantum Field Theory I (3+0) credit-hours
Photons and the Electromagnetic field. Lagrangian Field Theory. Klein Gordon Field. Dirac Field. Covariant theory of Photons. S-Matrix Expansion. Feynman Diagrams in QED. Lowest order QED processes.
PHYS 556 Quantum Field Theory II (3+0) credit-hours.
One-Loop Renormalization. Radiative Corrections to the Interaction with an external Field. Photon-Photon Effects. Lamb Shift. Regularization and Power Counting. Renormalization. Zero Mass Limit. Asymptotic Behavior Weinbergs Theorem. Renormalization in QED.
PHYS 557 Quantum Field Theory III (3+0) credit hours.
The Action Functional. Functional Methods in Quantum Mechanics. Feynman Path Integral in Field Theory. Perturbative Evaluation. Path Integrals in Gauge Theories. Perturbative evaluation ofgauge Theories.
PHYS 561 Elementary Particle Physics I (3+0) credit hours.
Brief review of Particle Detectors and Accelerators. Invariance Principles and Conservation Laws. Hadron Hadron interaction. Isospin. Strangeness. G-parity. Static Quark Model of Hadrons. Quark model for Baryons. Baryon Magnetic moments. Heavy-meson spectroscopy. Search for free Quarks.
PHYS 562 Elementary Particle Physics II (3+0).
Introduction to Weak Interactions. Muon Decay. Transition Probability. Neutron Electron Scattering. Intermediate vector Boson W. General properties of Hadronics Weak Currents. Nuclear beta Decay. Muon Capture. Unitary Symmetry; SU2, SU.
PHYS 563 Elementary Particle Physics III (3+0).
Brief review of Symmetries in Field Theory. The standard SU(3) x SU(2) x U(1) gauge theory. SU(2) x U(1), spontaneous symmetry breaking, Goldstone Theorem. Higgs mechanism. The Parton model. Deep inelastic lepton nucleon scattering. Radiative SU(2) x U(1) correction to the standard model. Application to Non-leptonic weak decays.
PHYS 570 Theory of Solids (3+0) credit hours.
Crystal Structure and Symmetry in Crystals; Electron State in Solids; Energy Band Calculations; Impurity States; Electronic Properties; Thermodynamic Properties and Transport Properties, Optical properties, Lattice Vibrations and Phonons; Magnetism in Solids, Dielectric properties.
PHYS 571 Electron Paramagnetic Resonance (3+0) credit hours.
Magnetic dipoles in a magnetic field. Magnetic moments and angular momenta . The resonance condition. EPR instrumentation. Frequency and temperature variation. Time dependent phenomena. Relaxation times. Line shapes. Hyperfine interactions. Isotopic systems, Anisotropic systems. Transition elements. The spin Hamiltonian. Free radicals. Point defects.
PHYS 572 Semiconductors (3+0) credit hours.
Band structure of Semiconductors. Imperfections in semiconductors. Carrier concentration at thermal equilibrium. Thermal conductivity and thermoelectric power. Optical absorption in semiconductors. Non-Equilibrium carrier phenomena. The p-n junction. Fermi level, internal electric field, diffusion potential. Experimental techniques. Conductivity, mobility, thermo-power life time.
PHYS 573 Physical Application of X-Rays (2+1) credit hours.
Properties of X-rays, Diffraction of X-rays, Intensities of Diffracted beams, Experimental methods. Interpretation of powder patterns. Orientation of single crystals. Parameter measurements, Chemical analysis by X-Ray diffraction, Structure of poly crystalline aggregates, Correction of diffraction data.
PHYS 574 Materials Science (3+0) credit hours.
Crystalline Solids & Glasses. Metallic elements. Types of defects. Diffusion in solids. Concept of activation energy. Nucleation and growth. Crystal faces and grain boundaries. Recrystallization. Phase changes and phase diagrams. Determination of Phase diagrams by: thermal analysis, X-ray diffraction and Metallography. Preparation techniques for ceramics, sintered materials and alloys. Temperature control. Electric and magnetic alloys. Memory shape alloys.
PHYS 575 Solar Energy Conversion (3+0) credit hours.
Solar radiations. Current transport mechanism in p-n junctions. The photovoltaic effect. Current voltage characteristics under illumination. Conversion efficiency. Factors influencing the conversion efficiency. Spectral response. Technology of silicon cells. Polycrystalline and amorphous silicon cells. Heterojunction solar cells. Schottky barrier and MIS cells.
PHYS 576 Theory of Magnetism (3+0) credit hours.
Atomic theory of Magnetism. Kinds of Magnetisms; Diamagnetism, Paramagnetism, Ferromagnetism and Anti ferromagnetism, Heisenberg the Ising Models; Localized Magnetic Impurities, S-d Hamiltonien and Kondo Effect. Effective Field Theories. Spin Glasses and Amorphous Magnetism.
PHYS 580 Nuclear Structure (3+0) credit hours.
Nucleon Nucleon Forces. Nuclear Shapes and Nuclear Moments. Nuclear Shell Model. Collective and Unified Models. Microscopic Theory of Nuclear Structure.
PHYS 582 Techniques in Nuclear Physics (2+1) credit hours.
Measurement of X and Gamma Ray energies and intensities, measurement of charged particles spectra, magnetic spectrometers and measurement of momentum for charged particles, neutron detection, particle beam detection, scattering chambers, pulse processing electronics, particle identification techniques, coincidence measurements, angular correlation and lifetime measurements.
PHYS 584 Reactor Physics (3+0) credit hours.
Decay of fission fragments, prompt and delayed neutrons, slowing down of neutrons; Fermi age theory, Diffusion of neutrons; multi group diffusion theory, Fuel depletion Fission product poisoning, Reactor Kinetics, Concept of reactivity, Classical aspects of reactor control, Control aspects of delayed neutrons and reflectors; Integral transport theory, Solution of transport equation, Fast breeder reactor, possible breeding cycles, doubling time, breeding ratio, Cell parameters, physics of PWR and Fast Breeder Reactor.
PHYS 586 Techniques in Health Physics (2+1) credit hours.
Measurement of ionization as applied to dosimetry, ionization methods of mixed radiation dosimetry, measurement absorbed dose, cavity-chamber theory, special methods in radiation dosimetry, Physics of diagnostic radiology, X-ray generating apparatus, the radiological image, the image receptor, X-ray flouroscopy, subtraction technique, topography radionuclide imaging, the Gamma-Camera, Scanning Cameras, ECAT, Computed tomography, principles of diagnostic ultrasound, basic principles of NMR and their application to imaging. Radiation protection guides.
PHYS 599 Special Topics (3+0) credit hours.
Discussion of topics relevant to the graduate students based on the specific interest of the students and the requirements of their programs.
PHYS 501 Mathematical Physics I (2+0) credit hours.
Review of ordinary differential equations. Bowed Stretched String. Expansion of Greens function. Electrostatics, Forced drum. Helmhoetz equation, radiation. Point source. Diffusion Neumann series. Frodholm formulae. Hilbert theory
PHYS 502 Mathematical Physics II (2+0) credit hours.
The discountinuity problem. Dispersion relations. Spectral representations. Greens functions and Fourier transforms. Laplace and Mellin transforms. Partial differential equations. Potential on semi-infinite plate. Diffraction by a knife edge.
PHYS 503 Experimental Data Analysis (1+1) credit hours.
Advanced Measuring instruments. Errors in physical measurements. Automatic a data acquisition and data organization. Distribution functions and their relations to physical measurements and characteristics. Curve analysis and its numerical techniques. Interpolation and extrapolation. Fourier analysis. Approximation methods in physics. Perturbative calculations of energy levels and spectra. Computer programming with relevant examples from physics.
PHYS 551 Quantum Mechanics I (2+0) credit hours.
Applications of quantum theory in atomic, molecular and nuclear physics. Rotation group. Representations. Clebsch Cordan Coefficients. Spin-orbit interaction. Hyperfine Structure. Scattering theory. Phase shifts. Resonances. Analytic S-matrix.
PHYS 552 Quantum Mechanics II (2+0) credit hours.
Relativistic wave equation, Dirac equation. Electron in interaction. Quantum theory of radiation. Second quantization. Many-body theory
PHYS 540 Statistical Mechanics (2+0) credit hours.
Postulates of quantum statistical mechanics. Micro canonical ensemble. Grand canonical ensemble. Ideal Bose gas, Photon gas. Ideal Fermi gas. Degeneracy pressure; equilibrium in stellar structure. Interacting systems. Mayer cluster expansion.
PHYS 580 Nuclear Structure (3+0) credit hours.
Nucleon Nucleon Forces. Nuclear Shapes and Nuclear Moments. Nuclear Shell Model. Collective and Unified Models. Microscopic Theory of Nuclear Structure.
PHYS 582 Techniques in Nuclear Physics (2+1) credit hours.
Measurement of X and Gamma Ray energies and intensities, measurement of charged particles spectra, magnetic spectrometers and measurement of momentum for charged particles, neutron detection, particle beam detection, scattering chambers, pulse processing electronics, particle identification techniques, coincidence measurements, angular correlation and lifetime measurements.
PHYS 584 Reactor Physics (3+0) credit hours.
Decay of fission fragments, prompt and delayed neutrons, slowing down of neutrons; Fermi age theory, Diffusion of neutrons; multi group diffusion theory, Fuel depletion Fission product poisoning, Reactor Kinetics, Concept of reactivity, Classical aspects of reactor control, Control aspects of delayed neutrons and reflectors; Integral transport theory, Solution of transport equation, Fast breeder reactor, possible breeding cycles, doubling time, breeding ratio, Cell parameters, physics of PWR and Fast Breeder Reactor.
PHYS 586 Techniques in Health Physics (2+1) credit hours.
Measurement of ionization as applied to dosimetry, ionization methods of mixed radiation dosimetry, measurement absorbed dose, cavity-chamber theory, special methods in radiation dosimetry, Physics of diagnostic radiology, X-ray generating apparatus, the radiological image, the image receptor, X-ray flouroscopy, subtraction technique, topography radionuclide imaging, the Gamma-Camera, Scanning Cameras, ECAT, Computed tomography, principles of diagnostic ultrasound, basic principles of NMR and their application to imaging. Radiation protection guides.
590 Physics Statistics
Introduction: Basic definitions, levels of measurement, types of statistical methods (non-parametric & parametric methods), types of statistical problems (estimation of population parameters, testing of statistical hypotheses).
Population: Probability distribution functions and their parameters. Multivariate probability distribution functions, moments, correlation, regression (-models) and multiple correlation, partial correlation, the normal distribution, the central limit theorem, the n-law, the bionormal distribution, the hyper geometric distribution, the C2 distribution.
Samples: Sampling methods and the description and representation of samples. Sampling alternative measures of centrality and variation).
Parameter estimation: Properties of estimators, point estimation and internal estimation, examples of estimators.
Testing of statistical hypotheses: The testing procedure definitions, parametric test.
Statistics: The studentt variable (test of u-value differences between expectations- independent samples and paired observations), the fvariable, significance of correlation, non-parametric test statistics.
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