Study Plan for Ph.D in Physics (2011/2012)
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1 Plan Study Plan for Ph.D in Physics (2011/2012) Offered Degree: Ph.D in Physics 1. General Rules and Conditions:- This plan conforms to the regulations of the general frame of the higher graduate studies programs. Areas of specialty of admission in this program: Holders of the Master degree of Science in Physics or its equivalence. 2. Special conditions: None. The Plan: Studying a total of (54) credit hours as follows:- Course Course Title Credit hrs Pre-requisite Obligatory Courses: (21 credit hours) Classical Mechanics Classical Electrodynamics Quantum Mechanics Statistical Mechanics Quantum Physics Solid State Physics Mathematical Physics-2 - Elective Courses: (15 credit hours) Nonlinear Dynamics Group Theory Many Body Theory Quantum Field Theory Atomic and Molecular physics -2 Department agreement Nuclear Physics-2 Department agreement Accelerators Physics Elementary Particles Physics Plasma Physics Semiconductor Physics Classical Electrodynamics Special Topics Methods in Applied Mathematics Ordinary Differential Equations Partial Differential Equations Applications in Quantum Chemistry - Pass the Ph.D qualifying Exam (002998). Dissertation: (18) credit hours (002999).
2 Transient Plan of the Courses for Ph.D in Physics Old Study Plan (2005/2006) New Study Plan (2011/2012) Course Course Title Nonlinear Physics Classical Electrodynamics-2 Quantum Mechanics-2 Group Theory Statistical Mechanics-2 Many Body Theory Quantum Field Theory-1 Atomic and Molecular Physics Nuclear Physics-2 Accelerators Physics Elementary Particle Physics Plasma Physics Quantum Field Theory-2 Semiconductor Physics Mathematical Physics-2 Special Topics Ph.D Qualifying Exam Dissertation Methods in Applied Physics Ordinary Differential Equations Partial Differential Equations Applications in Quantum Chemistry Credit hrs 18 Course Course Title Nonlinear Dynamics Classical Mechanics-2 Classical Electrodynamics-2 Quantum Mechanics-2 Group Theory Statistical Mechanics-2 Many Body Theory Quantum Field Theory-1 Quantum Mechanics- Atomic and Molecular Physics Nuclear Physics-2 Accelerators Physics Elementary Particle Physics Plasma Physics Semiconductor Physics Solid State Physics-2 Mathematical Physics-2 Classical Electrodynamics- Special Topics Ph.D Qualifying Exam Dissertation Methods in Applied Physics Ordinary Differential Equations Partial Differential Equations Applications in Quantum Chemistry Credit hrs 18
3 Course Description (Ph.D. in Physics) (02951) Nonlinear Dynamics credit hrs One Dimensional Flows: Flows on the Line, Bifurcations, Flows on the Circle. Two Dimensional Flows: Linear system, Phase plane, Limit Cycles, Bifurcations. Chaos: Lyapunov Exponents, Chaotic Orbits, Logistic Map, Lorenz Equations, Strange Attractors, Two Dimensional Maps, Chaos in Differential Equations. (002952) Classical Mechanics-2 credit hrs Legendre s Transformations and Hamilton s Equations of Motion; Cyclic Coordinates and Conservation Theorems; Routh s Procedure; Canonical Transformations; The Harmonic Oscillator; Hamilton-Jacobi Theory; The Harmonic Oscillator Problem; Action-Angle Variables; Poisson Brackets; Field Theory of Small Oscillations in The Continuum Limit; Solution to The Wave Equation of a Continuous String; Lagrangian for a Continuous String; Hamilton s Principle for a Continuous System; D Alembert s Solution of the Wave Equation; Eigen Function Expansion; Variational Principle; Perturbation Theory; Membranes. (0295) Classical Electrodynamics-2 credit hrs Plane Electromagnetic Waves and Wave Propagation; Wave Guides and Resonant Cavities; Simple Radiating Systems, Scattering and Diffraction; Special Theory of Relativity and Dynamics of Relativistic Particles and Electromagnetic Fields. (002954) Quantum Mechanics-2 credit hrs Rotation Operator for Spin-1/2 System; Orthogonal Group and Euler s Rotations, Density Operator and Quantum Statistics; Addition of Angular Momenta; Schwinger s Oscillator Model of Angular Momentum; Spin Correlation Measurements and Bell s Inequality; Time-Dependent Perturbation Theory and Transition Probability; Fermi s Golden Rule; Auger Transition; Harmonic Perturbation; Absorption and Emission of Radiation by a H-Atom; Second-Order Perturbation Theory and Applications; Sudden Approximation; Adiabatic Approximation; Identical Particles.
4 (002955) Group Theory credit hrs Hilbert Spaces and Operators, Representation Theory of Finite Groups, Continuous Groups and their Representations, Group Theory and Quantum Chemistry, Crystallographic and Molecular Symmetries, Group Theory in Solid State Physics. (002956) Statistical Mechanics-2 credit hrs Quantum Statistics and the Density Matrix; Quantum Statistics of the Various Ensembles and Examples; The Ideal Bose Gas; Photons and Phonons; Bose-Einstein Condensation; The Ideal Fermi Gas; Magnetic Behavior of An Ideal Fermi Gas; The Electron Gas in Metals; Special Topics from: Phase Transitions; Spin-Spin Correlation; The Ising Model. (002957) Many Body Theory credit hrs Second Quantization: Schrödinger s Equation, Fields, The Degenerate Electron Gas; Ground-State (Zero-Temperature) Formalism: Quantum Pictures, Adiabatic Switching On, The Gell-Mann-Low Theorem, Green s Functions, Wick s Theorem, Diagrammatic Analysis of Perturbation Theory; Applications: Fermi Systems, Linear Response and Collective Modes, Bose Systems; Selected Topics. (02958) Quantum Field Theory-1 credit hrs Classical field Theory; Free-Field Theories: Klein-Gordon and Dirac Fields; Interacting Fields Theories: S-Matrix and Feynman Diagrams; Quantum Electrodynamics. (002959) Quantum Mechanics- credit hrs Pre-requisite: Elastic and Inelastic Scattering Cross Section, Partial Wave Analysis, Resonance, Lippmann- Schwinger Equation; T-Matrix; Scattering of Identical Particles; Introduction to Relativistic Quantum Mechanics; Klien-Gordon Equation; Dirac Equation. Quantization of the Electromagnetic Field; Interaction of Electromagnetic Field with Charged Particles; Applications.
5 (002962) Atomic and Molecular Physics-2 credit hrs Pre-requisite: Department agreement N-Electron Atoms, Addition of Angular Momenta, Coupling Schemes and Coefficients, Tensor Operators, Hartree-Fock Central Field Approximation, Multiplet Wave Functions, Matrix Elements, Hyperfine Structure, Interaction of the Magnetic Field with Atoms. General Properties of Molecules, Electronic States of Molecules, Molecular Spectra. (00296) Nuclear Physics-2 credit hrs Pre-requisite: Department agreement Theories of Beta and Gamma Decays. Nuclear Models: Vibrational Model, Nuclear Deformation, Deformation Parameters, Rotational Model. Nuclear Reactions: Conservation Laws, Kinematics, Resonances; Compound Nucleus: Formation and Decay, Optical Potential. Theory of Direct Reactions, Heavy Ion Reactions, Fission, Mass Distribution of Fission Fragments, Neutrons Emitted in Fission, Cross Section for Fission. (02965) Accelerators Physics credit hrs The Van de Graaff Accelerator, Accelerator Calibration, Rutherford Scattering and RBS/Channeling, Nuclear Reaction Cross Section Measurements, Kinematics of Nuclear Reactions, Thin and Thick Target Yields, Angular Distribution Measurements, Nuclear Reaction Analysis NRA, Particle Induced Gamma Emission PIGE and X-Ray Emission PIXE, Neutron Production and Detection, Neutron Activation Analysis, Time-of-Flight Techniques, Coincidence Measurements, Radiation Protection. (02966) Elementary Particle Physics credit hrs Basic Concepts; Leptons, Quarks and Hadrons; Experimental Methods; Space-Time Symmetries; Hadrons: Quantum Numbers and Excited States, Quark States and Color; QCD, Jets and Gluons; Weak Interactions. (002967) Plasma Physics credit hrs Introduction, Properties of a Coulomb Gas With and Without a Magnetic Field: Equilibrium, Oscillations, Instabilities, Fluctuations, Collective Phenomenon, Transport Properties and Radiations. Description of Single-Particle Orbit Theory, Magneto Hydrodynamics and Kinetic Equations of Various Types.
6 (02971) Semiconductor Physics credit hrs Elementary Electron Theory of Conductivity; The Fundamentals of the Band Theory of Semiconductors; Electron and Hole Statistics in Semiconductors; Kinetic Phenomena in Semiconductors; The Theory of Charge Carriers Scattering; Phenomena of Charge Carrier Recombination in Semiconductors; Contact Phenomena in Semiconductors and Heterostructures; Optical and Photoelectrical Phenomena in Semiconductors; General Methods of Preparing Semiconductor Materials; General Properties of Some elementary Semiconductors and Semiconducting Compounds; Amorphous and Organic Semiconductors. (002974) Solid State Physics-2 credit hrs Energy Bands in The Tight-Binding Approximation; Valence-Band Wave Functions; Survey of Methods for Band Structure Calculations: Wigner-Seitz Cellular Method, Augmented Plane-Wave Method (APW), KKR Green s Function Method, The Orthogonalized Plane-Wave (OPW) Method, The Pseudopotential Method; Semiclassical Model of Electron Dynamics; Semiclassical Theory of Conduction in Metals; Surface Effects; Classical Theory of Harmonic Crystals; Quantum Theory of Harmonic Crystals; Anharmonic Effects in Crystals. (02981) Mathematical Physics-2 credit hrs Revision of Calculus of Variations; Chebyshev Polynomials, Hypergeometric Functions; Fourier Series; Integral Transforms; Confluent Hypergeometric Functions; Riemann Zeta Function. (002982) Classical Electrodynamics- credit hrs Pre-requisite: 0295 Scattering of Charged Particles and Energy Loss; Radiation by Moving Charges; Bremsstrahlung and Radiative Beta Decay; Multipole Fields; Radiation Damping, Scattering and Absorption of Radiation. (002992) Special Topics credit hrs This course lays the foundations for experimental and theoretical backgrounds relevant to current research topics in the Department. It could also involve advanced topics in physics. This course should assist students in their research fields, and equip them with a wealth of advanced knowledge in physics.
7 (001901) Methods in Applied Mathematics credit hrs Boundary Value Problems for Ordinary and Partial Differential Equations, Integral Transforms, Volterra and Fredholm Equations, Variational Methods, Asymptotic Methods, Distribution Theory. (001902) Ordinary Differential Equations credit hrs Pre-requisite: Existence and Uniqueness, Poincare-Bendxion Theory, Stability Theory of Linear and Almost Linear Systems, Periodic Solutions and Generalized Solutions of Ordinary Differential Equations, Nonlinear Equations and Stability. (00190) Partial Differential Equations credit hrs General Theory of First-Order Equations, The Cauchy Problem, Second-Order Equations: Characteristics and Normal Forms, Equations of Mathematical Physics, Advanced Techniques of Solutions. (0941) Applications in Quantum Chemistry credit hrs pre-requisite: None Methods of Modern Quantum Chemistry and Its Computational Techniques in The Study of Molecules, Its Electronic Composition, Geometry and Physical and Chemical Characteristics. Molecular Orbital and Computational Techniques. Approximation Methods in Calculating Energy Levels in Other Fields like Electronic Spectroscopy and Magnetic Resonance Spectroscopy.
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