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Details of Approved Courses For Mphil/Ms, Mphil Leading To Phd And Phd Programs Phys 571 Quantum MechanicsI 3Cr.hr Waves and Particles, Introduction to the Fundamental Concepts of Quantum Mechanics, The Mathematical Tools of Quantum Mechanics, The Postulates of Quantum Mechanics. Application of the Postulates to Simple Cases, Spin ½ and two levels systems, The One Dimensional Harmonic Oscillator, General Properties of Angular Momentum in Quantum Mechanics, Particle in a central potential: The hydrogen atom Text Book: Quantum Mechnics (Vol. 1) by Cohen Tannondjj (JohnWiley and Sons Inc. latest edition). Recommended Books:
Phys 581 Quantum MechanicsII 3Cr.hr An Elementary Approach to the Quantum Theory of Scattering by a Potential, Electron Spin, Addition of Angular Momenta, Stationary perturbation theory, An application of perturbation theory: the fine and hyperfine structure of the hydrogen atom, Approximation methods for timedependent problems, System of identical particles Text Book: Quantum Mechnics by Cohen Tannondjj (JohnWiley and Sons Inc. latest edition). Recommended Books:
Phys 572 ElectrodynamicsI 3Cr.hr Introduction to Electrostatics, BoundaryValue problems in Electrostatics1, BoundaryValue problems in Electrostatics11, Multipoles, Electrostatics of macroscopic media, Dielectric, Magnetostatics, TimeVarying fields, Maxwell Equations, Gauge transformation. Poynting vector Conservation Laws, Cherenkov radiation. Fields and radiation of localized oscillating sources Plane Electromagnetic Waves, Waves Guides and Resonant Cavities, Simple Radiating Systems and Differaction, Magnetohydrdynamics and Plasma. Text Book: Classical Electrodynamics by J.D.Jackson (General Edition, JohnWiley and Sons, latest edition). Phys 582 ElectrodynamicsII 3Cr.hr Special Theory of Relativity, RelativisticParticle Kinematics and Dynamics, Collision between charged Particles, Energy Loss and Scattering, Radiation by Moving Charges, Bremsstrahlung, Method of virtual Quanta, Radioactive Beta Process, Multipoles Fields, Radiation Damping, Self Fields of a Particle, Scattering and Absorption of Radiation by a Bound System. Text Book: Classical Electrodynamics by J.D.Jackson (General Edition, JohnWiley and Sons, latest edition) Phys 573 Classical Mechanics 3Cr.hr Survey of the elementary principles, Variational principles and Lagranges’s equations, Oscillations, The classical mechanics of the special theory of relativity, Hamiltonian equations of motion, canonical transformations, HamiltonJacobi theoryand Action angle variable, Classical Chaos, Canonical perturbation theory, Introduction to the Lagrangian and Hamiltonian formulations for continuous systems and fields, Classical mechanics of liquids and deformable solids; stress, deformation and strain flow. Text Book: Classical Mechanics by Goldstein (latest edition) Phys 574 Mathematical Methods of Theoretical PhysicsI 3Cr.hr Mathematical methods for theoretical physics; Vector analysis in curved coordinates and tensors, Group theory, Gamma function (factorial function), diffrintial equations, SturmLiouville theory (orthognalfunction), Bessel function, Legendre functions, Fourier series, Integral transforms, Calculus of variation Text Book: Mathematical Methods for Physicist by George Arfken. (Acad Press, latest edition). Phys 583 Thermal and Statistical Physics 3Cr.hr Thermodynamic laws and potentials, kinetic theory, hydrodynamics and transport coefficients; introduction to statistical mechanics, ensembles, partition functions, Phase transitions and critical phenomena, GinzburgLandau theory, BoseEinstein condensation, superfluids, Fermi systems, lowtemperature expansions. Text Book: Statistical Mechanics by Pathria. R. K. (latest edition). Recommended Book:
Phys 592 Theory of Condensed Matter: 03Cr.hr Bloch's theorem and Brillouin zones, electronic states. Electronelectron interaction, screening. Kohn effect. Dielectric constant. Plasma oscillations. Dynamics of electrons. Electrons and holes. Excitons. Zenner breakdown. Scattering of electrons by impurities. Electronphonon interaction. Dynamics of electrons. Optical properties. Multiphonon processes. Interband transitions. Interaction with conduction electrons. Anomalous skin effect. Ultrasonic attenuation. Magnetism including paramagnetism, diamagnetism, ferromagnetism, antiferromagnetism and magnons. Superconductivity including the electronelectron interactions. BCS theory and GinsburgLandau theory Recomended Books:
Details Of Elective Courses For Graduate Physics Programs Phys 585 Experimental Nuclear Physics: 03 Cr.hr Activation analysis. Theory and basic principles of neutron activation analysis Applications of activation analysis. Nuclear models. Single particle shell model. Spinorbit interaction. Collective model. Intrinsic states in a spheroidal field. Rotational and vibrational states. Nilsson model. Static and transition moments. Neutron Physics. Neutron sources. Interactions of neutrons with matter, energy distribution of neutrons. Slowing down and diffusion of neutrons. Chain reacting systems. Breeders and converters. Nuclear spectroscopy. Crystal diffraction. Magnetic spectrometer. Beta and total absorption spectrometer. Energy measurement of the neutrons. Recommended Books:
Phys 586 Plasma PhysicsI: 03 Cr.hr Introduction, Occurrence of plasma. Concept of temperature. Debye shielding. The plasma parameter. Criteria for plasma. Applications of plasma physics. Singleparticle motion in electromagnetic field. Uniform and nonuniform E and B fields. Timevariant E and B fields. Fluid description of plasma. Wave propagation in plasma. Derivation of dispersion relations for simple electrostatic and electromagnetic modes. Introduction to Controlled Fusion: Basic nuclear fusion reactions. Reaction rates and power density, radiation losses from plasma, operational conditions. Recommended Books:
Phys 686 Plasma PhysicsII: 03 Cr.hr Physical Conditions for Thermonuclear Reactions Mechanism of Thermonuclear Reactions, Rates of thermonuclear reactions, Charged particle energies, Nuclear Fusion reactions, Thermonuclear reaction cross sections, Thermonuclear reaction power density, Lawsen Criterion, Radiation losses from plasma, Bremsstrahlung, rate of Bremsstrahlung emission, ideal ignition temperature, effect of impurities on radiation loss, Cyclotron radiation. The Pinch Effect.The equilibrium Pinch, The Bennett Pinch, Dynamic Model of the pinch, Instabilities in a Pinched Plasma coulumn, The sausage Instability, The KINK Instability, Convex Field Configurations. Equilibrium and stability, Hydromagnetic equilibrium, The Concept of , Diffusion of magnetic field into a plasma, Classification of instabilities, TwoStream instability, The Gravitation Instability, Resistive Drift waves, The weibel instability. Text Book: Introduction to plasma Physics by F.F.Chen, Latest ^{ }ed. (Plenum). Other Recomended Books:
Phys 592 Experimental Plasma: 03 Cr.hr Introduction to Cold plasma Cold Plasma Generation, DC Glow discharge, Pachen’s Law, Radio frequency discharge, Micro wave Plasma, Electron Cyclotron resonance plasma. Plasma Diagnostics Electrostatic Probes, Probe characteristics, Probe analysis, Plasma electron temperature with electrostatic probe, Plasma electron density with electrostatic probe, Optical Methods, Plasma Spectroscopy, Atomic absorption spectroscopy, atomic emission spectroscopy, optical emission spectroscopy, Monochromator, photomultiplier tube, deduction of Plasma parameters with Optical emission spectroscopy Text Book: Introduction to plasma Physics by F.F.Chen, Latest ^{ }ed. (Plenum). Other Recomended Books:
Phys 587 Laser PhysicsI: 03 Cr.hr Review of quantum mechanics. Interaction of radiation and atomic systems. The density matrix. Homogeneous and inhomogeneous broadening of atomic transitions. Gain and saturation effects. Hole burning. Optical resonators. Gaussian beams. Laser oscillation. Rate equations for a laser oscillator. Amplitude fluctuations and spiking. Some specific laser systems. Qswitching and mode locking. Focusing of laser beams. Recommended Books:
Phys 687 Laser Physics–II: 03 Cr.hr Development of laser systems, carbon dioxide laser, excimer laser, nitrogen laser, dye laser, ruby laser, nd y ag & glass lasers, fibre lasers, semiconductor lasers. metrological and atmospheric applications. lidar, types of lidar, laser sources for lidar, nonlinear optics, design choices. lasers in defence industry. range finders, laser target marking and designation. laser material processing. laser cutting, laser welding, laser drilling, laser surface treatment. scientific applications. laser spectroscopy, interferrometery, laser uranium enrichment, laser induced plasma and fusion. medical applications. medical laser systems, light interaction with tissues, dennatology & aesthetic surgery, general surgical applications, neurosurgery, cancer detection. communication and fibre optics. introduction to fibre optics, optical information, transmission & storage optical communication, laser printing and optical disk systems thermal imaging. puised laser deposition technique. laser ablation, sputtering processes, energy Recommended Books:
Phys 588 Materials ScienceI: 03Cr.hr Crystallography. Translational periodicity. Crystal classes. Crystal forms. Point and space groups. Crystal growth. Methods of purification. Zone refining. Zone levelling. Impurity control. Methods of perturbing the concertration of impurities in semiconductors. Formation of np and npn junctions. Different techniques of growing single crystals. Imperfections in crystals. Impurities. Vacancies. Grain boundaries. Dislocations. Stacking faults. Frenkel and Schottky disorder. Electrons and holes. Color centers. Mechanical properties of metals. Polymers and ceramics. Elastic and plastic deformation. Fracture, creep and fatigue phenomena. Strengthening mechanism. Annealing. Effect of imperfections on the mechanical properties of materials, Modulation spectroscopy for optical properties in solids. Modulation techniques. Wavelength modulation. Temperature modulation. Stress modulation. piezo absorption and piezoreflectance. Electric field modulation. Recomended Books:
Phys 688 Materials ScienceII: 03Cr.hr Structure of materials. Ionic bond. Covalent bond. Metallic bond. Van der Waal's bond. Polymer chains. Polymerization. Polymer processing. Ceramics. Oxide and silicate structures. Phase transformations. Fabrication technology of semiconductor electronic devices. Cement, glasses Books Recommended:
Phys 589 Computational PhysicsI: 03Cr.hr Introduction Computer Programming Using "C++": Introduction to the C++ Language: Background, Identifiers, Data Types, Variables, Constants, Coding Constants, Reading and Writing data. Concept of Loops, Pretest and Posttest Loops, Initialization and updating, Event Control and C()LlJ1ter Control, Loops in C++, Other statements related to loops. Pointers: Concepts, Pointer variables, accessing variables through pointers, pointer definition and declaration, Initialization of pointer variables, pointers and functions, pointers to pointers, Compatibility, L value and R value, Arrays and pointers, pointer arithmetic and arrays, passing array to a function, understanding complicated declarations, Memory Allocation functions, array of pointers. Arrays, Strings and structure: Concepts, using arrays in C++, arrays and functions, Two dimension arrays, Multidimension arrays, String concepts, C++ Strings, Strings, anays of Strings, String manipulation functions, Enumerated type structure, Accessing Structure, complex Structures, array of structures. Text and Binary Files: Concept of a file, File and streams, Standard Library input/output functions, Formatting input/output. Character input/output functions, Detecting File errors, Using Binary Files, Standard Library function for Binary Files. Converting File Type. Errors: Introduction to Computer Errors; Typographical Errors; Logical Errors; Round off Errors; Propagation of Errors from Initial Data; Truncation Errors. Basic Mathematical Operations: Numerical Differentiation; Numerical Quadrature; Finding Roots; Semiclassical Quantization of Molecular Vibration. Ordinary Differential Equations with Initial Conditions: Simple Methods; Multistep and Implicit Methods; RungcKl1tta Methods; Stability; Order and Chaos in TwoDimcl1sional Motions. Structures of C++ Language: Expression, Precedence and Associatively, Evaluating Expressions, Mixed Type expressions, Statements. Functions: Designing Structured Programs, Functions in c++, User defined Functions, Default parameter Arguments, Standard Library Functions, Scope. Selection Making Decisions: Logical data and operators, To way selection, Multiway Selection, More Standard library functions. Recommended Books: 1. Computer Science a structured Programming approach using C++ By BehroLlz A. Forouzan and Richard F. Gilberg. 2. Fundamentals of C++ understanding progran1ming and problem solving by Kenneth A Lambert, Douglas W. Nance. 3. Computational Physics (Fortran Version) by Steven E. Koonin & Bawn C. Meredith, AddisonWesley Publishing Company, 1990. 4. Computer Application of Numerical Methods by Shan S. Kuo, AddisonWesley Publishing Company, 1972 Phys 689 Computational PhysicsII: 03Cr.hr Boundary Value and Eigenvalue Problems: The Numerov Algorithm; Direct Integration of Boundary Value Problems; Green's Function, Solution of Boundary Value Problems; Eigen values of the Wave Equation; Stationary Solution of the One Dimension Schroedinger Equation. Special functions and gaussian quadrature: Special Function, Gaussian Quadrature, Born and Eikonal Approximation to Quantum Scattering. Matrix Algebra and Simultaneous Equations: Elementary Operations of Matrices, Matrix Inversion, GaussJordan Elimination Method, GaussSeidel Iterative method, Eigen values of a TriDiagonal Matrix, Reduction to TriDiagonal Form, Determining Nuclear Charge Densities. Elliptical Partial Differential Equation: Dissscretization and the Variational Principle, Iterative Methods for Boundary Value Problems, Elliptical Equations in Two Dimensions Parabolic Partial Differential Equations: Naive Discretization and Instabilities, Implicit Schemes and the Inversion of Tri Diagonal Matrices, Diffusion and Boundary Value Problems in Two Dimensions, Iterative Methods for Eigen value Problems, The Time: Dependent Schoedinger Equation.. Monte Carlo Methods: The Basic Monte Carlo Strategy, Generating Random Variables with a Specific Distribution, The Algorithm of Metropolis et. aI., The Ising Model in Two Dimensions. Recommended Books: 1. Computer Science a structured Programming approach using C++ By Behrouz A. Forouzan and Richard F. Gilberg. 2. Fundamentals of C++ understanding programming and problem solving by Kelmeth A Lambert, Douglas W. Nance. 3. Computational Physics' (Fortran Version) by Steven E. Koonin & Dawn C. Meredith" AddisonWesley Publishing Company, 1990. 4. Computer Application of N_1I11erica1 Methods by Shan S. Kuo, Publishing Company, 1972. Phys 590 Laser Spectroscopy: 03 Cr.hr The Hydrogen Atom: Solution of Schrodinger Equation, Hydrogen Spectrum, Einstein's Coefficients, Transition Probabilities I; The electric dipole Approximation selectionrule for 1 and m_{l}, Hydrogen find Structure.Twoelectron system: Electrostatic interaction, Ground and Excited States of Helium, Pauli Exclusion Principle. Central Field Approximation: Central Field, Hartee Fock Method, Thomas Fermi Potential, Gross Structure of the Alkalies, LS Coupling Approximation I', Si Jj Coupling and other type of Coupling, Zeeman Effect in LS Coupling, Quadratic & Stark Effect, Linear Stark Effect, Hyperfine Structure. Molecular Structure: Introduction, Rotational Spectrum of Diatomic molecule, RotationalVibrational Spectra of diatomic molecule, FranckCondon Principle, Born Oppenheimer Approximation. Lasers: Introduction, Planck's Law, Einstein Coefficients and Stimulated Emission,. Light Amplification, Pumping Schemes, Monochromaticity, Coherence, Directionality, Brightness, Population Inversion, Gain Curve for Inhomogeneous Transitions, Line Narrowing and Amplified Spontaneous Emission, Three level and Four level Systems, Resonators, Time dependent Solutions and Qswitching, Mode Locking. Types of Lasers: Gas Lasers, Solid State Lasers, Liquid Lasers, Xrays Lasers, Free Electron Laser. Geometrical Optics, Fibre Optics and Applications of Lasers: Matrix Formulation of Geometric Optics., Gaussian Beam, Febry Perot Interferometer, Second harmonics Generation and Parametric Oscillation, Fibre Optic and its role in communication, Material Processing, Holography, Optical Data Storage, Medical Application. Recommended Books:
Phys 591 Advanced Condensed Matter 03Cr.hr Lattice vibrations and defects, ionic and electronic conductivities, band theory, magnetic properties; luminescence. Theory of solids, Green’s functions, correlation functions and other fieldtheoretic methods, magnetism, superconductivity and transport properties. Recommended Books:
Phys 593 Surfaces and Interface studies: 03Cr.hr Properties of surfaces and interfaces of materials. Relation between electronic properties and atomic structure Surfaces: thermodynamics, experimental techniques, structure and reconstruction. Thin film Physics. Methods of preparation of thin films. Methods of thickness measurement. Surface studies techniques. Preparation of samples. Low energy electron diffraction. AUGER ellipsometry. Particle detectors and techniques of charged particle and gammaray spectroscopy. Electron and ion sources. Books Recommended:
Phys 594 Semiconductors and Thin Films 03Cr.hr Techniques and processes encountered in growth and characterization of epitaxial semiconductor thin films. Interactions of gases at solid interfaces and gas phase dynamics related to epitaxial processes. Solgel, molecular beam epitaxy and chemical vapor deposition. Film characterization by electrical, structural, optical, and chemical techniques. Issues involved in epitaxial growth such as: lattice match, critical layer thickness, heterostructures, superlattices and quantum wells. This course addresses: i) local atomic structure of noncrystalline/amorphous dielectrics  experimental methods and theory; ii) classification of dielectric materials  by bond ionicity, bond density and bonding contraints atom to discriminate between ideal covalent random networks, disrupted networks, and nanocrystallinity; iii) thermallygrown silicon dioxide and its interface with Si  the standard for alternative dielectrics; iv) electronic structure and bonding in transition metal/lathanide rare earth dielectrics; and v) intrinsic limitations on the performance and reliability of metaloxidesemiconductor devices. Recommended Books: Phys 595 Methods and Techniques of Experimental Physics. (03Cr.hr) Numerical methods. Solutions of equations by the method of iteration (NewtonRapson method). Solution of differential equations of higher order. Gaussian quadrature. Random numbers. MonteCarlo methods. Resume of theory of errors and experimental statistics. Leastsquares fit to a polynomial. Nonlinear functions. Data manipulation, smoothing, interpolation and extrapolation, linear and parabolic interpolation. High vacuum techniques. Physical principles of diffusion and rotary pumps. Ultra high vacuum by ionization. Sorption and cryogenics. Measurement of pressure. Leak detection. Xray. electron and neutron diffraction techniques. Methods of recording diffraction patterns. Examples of structure determination. Analysis of results. Books Recommended:
Phys 596 Quantum Optics 03Cr.hr Quntum theory of radiation. quantization of the free electromagnetic field, fock states, lamb shift, quantum beats, light. Coherent and squeezed states of the readiation field. Quqntum distribution theory and partially coherent radiation. Fieldfield and photon photon intrerferometry. Atomfield interaction semiclassical theory. Atomfield interaction Quantum theory. Lasing without inversion and other effects of atomic coherence and interference. Quantum theory of dampingdensity operator and wave function approach. Quantum theory of dampingHeisenbergLangevin approach. Resinance fluorescence. Quantum theory of the laser density operator approach. Quantum theory of the laser HeisenbergLangevin approach. Theory of the micromaser. Correlated emission laser: concept, theory and analysis. Phase sensitivity in quantum optical system: application. Squeezing via nonlinear optical pricess. Atomic optics. EPR paradox, hidden variables and bells theore. Quantum non demolition measurements. Quantum optical tests of complementarity. Twophoton interfferometry, Quantum measurement problem. Text Book: Quantum Optics by S.M Zubari. Phys 597 Nuclear Structure Physics: 03Cr.hr Advanced description of nuclear models and nuclear reactions. Topics including internucleon forces, compoundnucleus processes, shell model, optical model, Rmatrix theory, direct reactions, collective model, electromagnetic transitions, isobaric analog states. Recommended Books: Phys 598 Atomic and Molecular Physics 03Cr.hr Negative ions. The atomic structure and spectra. Mechanism for formation of negative ions. Total collision crosssection, its analysis and measurement. Momentum transfer crosssection, Experimental methods for the study of negative ion formation and electron detachment. Diffusion of electrons and ions. Diffusion for various geometries. Ambipolar diffusion and experimental results. Recombination, its mechanism and theory. Experimental methods of studying slow electrons gases. Photoemission and absorption in gases. General features and theory of photoionization. Experimental results. Surface phenomena. Absorption of gases on the surfaces. The impact of electrons and heavy particles on surfaces. Surface ionization. Experimental investigations. Physics of atoms and molecules using quantum theory. Recommended Books:
Phys 599 Advanced Special Topics in Physics 03 Cr.hr Advanced study in astrophysics, atomic and molecular physics, condensed matter physics, nuclear physics or plasma physics. Emphasis on new and rapidly developing research areas. Recommended Books: Phys 699 Advanced Special Topics in Quantum Mechanics 03 Cr.hr Emphasis on new and rapidly developing research areas in Quantum Mechnics. Recommended Books: Advanced Quantum Mechanics by J. J. Sakuri (latest edition). Phys 601 Magnetism in Condense Matter 03 Cr.hr Introduction to magnetism, Isolated magnetic moments, Environments, Interactions, Order and Magnetic structures, Order and Broken symmetry, Magnetism in Metals, Text book: Magnetism in Condense Matter by Stephen Blundell Phys 602 Optical properties of Solids 03Cr.hr Introduction, classical propagation, interband absorption, excitons, luminescence, semiconductor quantum wells, free electrons, molecular materials, luminescence centers, phonons, non linear optics. Text: Optical properties of solids by Mark Fox (latest edition) Phys 600 Master’s Research, Thesis, and/or Examination Variable credit (P, F, I grading). Phys 700 Doctoral Research, Dissertation, and/or Examination Variable credit (P, F, I grading) 