Level : Non Specified 
Semester: Non Specified 
Course Code 
Course Name 
Course Hours  
SPH 504  Electrodynamics I   View Description 
Electrodynamics I Description .Guass 

SPH 503  Quantum Mechanics I   View Description 
Quantum Mechanics I Description .COURSE OBJECTIVE
This is an advanced course in quantum mechanics geared towards furthering basic concepts developed at the undergraduate level. It is developed in such a way as to equip the learner with the techniques needed to handle physical problems involving the following:
1) Application of the Schrodinger equation to solve problems of particles moving in potentials of various types e.g square and central potentials.
2) Scattering problem 

SPH 501  Classical Mechanics   View Description 
Classical Mechanics Description .Mechanics of particle. Moving coordinate systems; mechanics of a system of particles. The Lagrangian formulation. Variational principles. The two body central force problems. Canonical transformation. HamiltonJacobi methods of canonical perturbation theory. Small Oscillations. Special relativity in classical mechanics. 

SPH 510  Mechanical, Thermal & Optical Properties Of Solids   View Description 
Mechanical, Thermal & Optical Properties Of Solids Description .Crystal structures. Interatomic forces and crystal defects. Dislocations. Lattice vacancies, diffusion and colour centres. Review of thermal properties of solids. Thermal conductivity. Phonons. Thermal expansion. Equation of State of Solids, Optical properties of solids. 

SPH 509  Surface Physics   View Description 
Surface Physics Description .Free atoms, free particles and molecular solids. Review of experimental methods of study. Clean surfaces: thermodynamics, chemical analysis, elementary excitations, optical properties. Absorption: Physisorption, chemisorption, energy transfer, surface reactions. Phase transitions: Microclusters and reactive particles for film polymerization. Glow discharges: Thin film formation; hard coating, High Vacuum deposition of superthermal free particles, mangetron sputtering, chemical vapour depositions. Thin film characterization methods. 

SPH 508  Elasticity   View Description 
Elasticity Description .Tensor notation. Strains, displacements, stresses stiffness and compliance constants Symmetrics. Equilibrium and compatibility equations in three dimensions. Traction and displacement boundary conditions. Plane stress and plane strain. Cantilevers and beams. Polar coordinates. Torsion. Pressure vessels. Holes cracks and stress concentration. 

SPH 507  Optical And Laser Physics   View Description 
Optical And Laser Physics Description .Overviews of propagation phenomena. EM waves in various media (dielectrics and conductors), Oblique incidence problem in dielectric and conductors. Polarization 

SPH 506  Solid State Electronics   View Description 
Solid State Electronics Description .P 

SPH 505  Solid State Physics I   View Description 
Solid State Physics I Description .Course Objectives
This is graduatelevel course in Solid State Physics. The fundamental concepts and principles of the solid state are discussed, and the elementary physics behind the mechanical, thermal, electrical optical, and magnetic properties of solids is developed. The course will be based on the textbooks by Kittel, Ashcroft and Mermin, Zeeman and Myers.
Objectives
The basic objective of the course is to learn the following:
What are the characteristics of the solid phase
How does the application of fundamental
theoretical physics allow one to understand the properties of the solid state
How does the properties of the solid state lead to new physics.
The study of the solid state is driven by both fundamental research and applications.
Periodic structures. Phonons and specific heat. Electron states and various methods of energy band calculations. Cohesion of solids. Electronelectron interaction. Optical properties. One electron dynamics. K.P. method. Impurities measuring the Ferm surface. Quantum wells. Diamagnetism, paramagnetism and magnetic ordering superconductivity. 

SPH 515  Computational Physics I   View Description 
Computational Physics I Description .Solution of nonlinear equations: Polynomial interpola curve fitting. Numerical integration and differentiation. Numerical solution of ordinary and partial differential equations. Solution of simultaneous linear equations. Computation of Matrix Eigenvalues. Monte Carlo Method Introduction to nonsymbolic computation techniques. 

SPH 514  Electrodynamics Ii   View Description 
Electrodynamics Ii Description .Review of special relativity. Lorentz transformations. Homogenous Lorentz group. Thomas precession. Covariance of electrodynamics. Relativistic transformation of fields. Radiation by moving charge. Lenard Wiechert potentials for a point charge. Larmor 

SPH 513  Quantum Mechanics Ii   View Description 
Quantum Mechanics Ii Description .Course Objectives
This course in Quantum Mechanics is designed to equip the learner with skills that are required is probing the structure of matter. More specifically, this is a cause in relativistic quantum Mechanics that provides the background knowledge to the STANDARD MODEL of particle physics and of high energy physics in general. So it is a prerequisite to other advanced courses in Physics.
The course outline includes the following themes:
(i) The Braandket representation
(ii)Operators and the dynamical evolution
of physical systems
(iii)Eigenvalue Equations and degeneracy of
physical systems
(iv)Observables: Commuting and
noncommuting observables
(v)Lorentz transformation and relativistic
waves equation i.e. KleinGordon equations.
(vi)The Dirac Equation and the nonrelativistic
limit of the Dirac equation, vacuum
polarization, parity and time reversal.
(vii) Two component neutrino theory
So in a nutshell, this course combines special relativity, group theory, quantum mechanics proper, and spinor theory.
Identical particles and spin. Timedependent quantum approximation methods and semiclassical theory of radiation, many electron system (atoms and molecules). Relativistic Quantum mechanics, quantisation of fields (second quantization). Interacting fields and Feyman diagrams. 

SPH 511  Physics Of Selected Materials   View Description 
Physics Of Selected Materials Description .Ceramic materials: Structural imperfections, surfaces, interfaces and Grain boundaries. Atomic mobility. Phase transformations. Grain growth and sintering. Microstructure property (physical and mechanical) relationships. Metallic materials: Relation between internal structure and mechanical properties. Plastic deformation and hardening mechanisms. Fracture, fatigue and creep. Polymers and composites: structures of polymeric solids. Rubber elasticity and viscoelasticity. Forming. Thermal properties 

SPH 512  Space Physics   View Description 
Space Physics Description .Neutral atmosphere and its various characteristics. Atmospheric dynamic tides. Gravity Waves. Atmospheric Dynamo. The Sq current system. Appleton Hartree theory. The SunPhotosphere, Cromsphere and Corona. Sunsports. Solar Flares. Radiation Belts. Solar wind. Interplanetary magnetic field. The magnetosphere. Ring currents. Magnetic storms. Aurora. Micropulsations. 

SPH 523  Advanced Aeronomy   View Description 
Advanced Aeronomy Description .Advanced gas laws and continuity, collision and diffusion, vertical structure of undisturbed upper atmosphere, geographical and temporal structure of ionosphere, electric currents and plasma drift, propagating atmospheric waves, VLF waves, properties and structure of plasma in magnetosphere, magnetic storms 

SPH 524  Advanced Electronics   View Description 
Advanced Electronics Description .Advanced digital designs. Data handling and storage peripherals, microcomputer software. Introduction to small digital and analogcomputer design. 

SPH 525  Signal Recovery   View Description 
Signal Recovery Description .Noise. Passive and active hardware filters. Instrumentation amplifiers. Lock in amplifiers. Analoguetodigital signal conversion. Transformation methods: include fourier for spectral signal data and hotteling for image data. Digital filters. 

SPH 516  Mathematical Physics   View Description 
Mathematical Physics Description .Course Objectives
(i)To appreciate quantitative formulation of
natures laws
(ii)Apply its methods and theories to descry
be various physical phenomena
(iii)To enable predict the past and the future
from the present
(iv)To model physical phenomena
Partial differential equations. Calculus of variation. Green 

SPH 526  Microcomputer Development & Interfacing   View Description 
Microcomputer Development & Interfacing Description .Advanced computer architectures. Design considerations 

SPH 522  Rock Magnetism   View Description 
Rock Magnetism Description .Magnetic properties of solids: Outline of ferromagnetism, magnetic domains and its structure, magnetic behaviour of fine ferromagnetic particles, susceptibility and coercive force, anti ferromagnetism. Magnetic properties of minerals: ferrimagnetism of magnetite, properties of titanomagnetitis, oxidized titanomagnetites other ion bearing minerals. Magnetic properties of rocks:magnetic minerals & their origin, anisotrophy of magnetic susceptibility, magnetic hysterisis, thermomagnetic properties, classification of remanence, alternating field and thermal dermagnetization, piezomagnetic effect, application of rock magnetism. 

SPH 521  Paleomagnetism & Its Applications   View Description 
Paleomagnetism & Its Applications Description .Major continents and Pangea, continental drift theory, General features of geomagnetic field, physical basis of magnetization; magnetic mineralogy; sampling measurements and procedures; magnetic cleaning; statistical and mathematical analyses; geochronological methods of dating rocks, Applications : Archeological, geomagnetic, geological, paleoenvironment, biological etc. 

SPH 520  Advance Applied Geophysics   View Description 
Advance Applied Geophysics Description .Advance mathematical study of Geophysical methods: gravity, magnetic, seismic; Electrical properties of radiation, methods of employing natural electrical sources, EM methods, resistivity methods, Induced polarization, radioactive methods, geophysical well logging 

SPH 519  Applied Geophysics   View Description 
Applied Geophysics Description .Advanced Mathematical treatment of the solar system, Radioactivity and the age of the earth, Rotation of the earth, Gravity & tides; seismoticity waves and the earthquake mechanism, structure of the earth, the earth 

SPH 518  Remote Sensing Physics   View Description 
Remote Sensing Physics Description .Introduction to Remote Sensing. Principles and concepts. Nature and properties of electromagnetic waves. Instrumentation. Solid surface sensing in, visible and infrared, thermal infrared, microwave and radio frequencies. Basic principles of Atmospheric Sensing and Radiative Transfer. Data analysis processing and interpretation. Applications. 

SPH 517  Relativity   View Description 
Relativity Description .Background. Lorentz transformation. Tensors in special relativity kinematics and dynamics. Electrodynamics in spacetime. Newtonian gravitational theory. Equivalence principle geometry of spacetime. Covariant differentiation. Geodesics. Parallel transport. Curvature tensor. Schwarzschild geometry. 

SPH 527  Advanced Nuclear Physics   View Description 
Advanced Nuclear Physics Description .Review of fundamentals of Nuclear Physics: the nuclear atom (Rutherford 

SPH 528  Radiation Physics   View Description 
Radiation Physics Description .Alpha, berta and gamma decay processes. Theory of gamma decay, quantum mechanical tunneling, the Gamow factor, alpha decay spectroscopy. Types of beta decay processes, Xrays following beta decay, the Fermi theory of beta decay. Energetics of gamma decay, internal conversion, isometric transitions, branching ratios and lifetimes of excited states. Radiation sources and fields. Review of the interaction of gamma rays with matter. Charged particle accelerations. Ion sources and principles of acceleration. A survey of accelerator types. 

SPH 529  Radiation Measurement And Spectroscopy   View Description 
Radiation Measurement And Spectroscopy Description .Course Objectives
To gain an advanced understanding of the underlying physics of ionizing radiation and its interactions with matter and the principles of radiation detection as well as concepts governing uncertainty in measurements and error propagation in radiation detection and measurement. To obtain experience in the design and operation of radiation detection and radiation spectroscopy instrumentation. Other objectives include:
Understand the effects of radiation interactions leading to the signal generation in various media.
Understand the theory of electronic pulse generation and time dependent pulse shapes.
Be cognizant of the role of pulse shaping and processing units
Master the major detector types applicable for specific radiations
Be able to integrate common detector/signal processing/readout chains
Acquire advanced knowledge of typical radiation measurement devices.
Principles of radiation detection. Review of interaction of radiation with matter. Ionizations and excitations. Survey of detector types. Gasfilled, scintillation and [semiconductor detectors; NaI (TI) detector, characteristic] and resolving time; liquid scintillation counting, quenching. Solid state (semiconductor) detectors, the HPGe and HPI detectors photopeak efficiencies and multichannel pulse height analysis. Detectors resolution measurement statistics. 

SPH 530  Radiation Protection And Dosimetry   View Description 
Radiation Protection And Dosimetry Description .Review of biological effects of radiation. Radiation exposure pathways (extermal and internal exposures). Radiation risks (Health effects). Radiation shielding and protection. Attenuation of coefficients and half thickness. Waste disposal and Decontamination procedures. Principles of Dosimetry. Dose conversion factors. Microdosimetry. Primary and secondary dosimeters. Dose assessment techniques; Experiment, epidemiology and calculation. 

SPH 531  Application Of Radiation   View Description 
Application Of Radiation Description .Peaceful uses of nuclear techniques in Industry, medicine and the Environment: material characterization; radiography; tomography; mineral Exploration. 

SPH 604  Astrophysics   View Description 
Astrophysics Description .Hertzspprungrussel diagram, classification of stellar system. Physics of steller interiors. Radiative transfer problems. Abundances of the elements, Stellar models. Physics of the interstellar medium. Origin of cosmic rays. Thermal and nonthermal radiation processes. 

SPH 603  High Energy Physics   View Description 
High Energy Physics Description .Symmetries and groups. Gauge symmetries and YangMills theories. Electromagnetic field as U(1) gauge field SU(2)w and SalamWeinbergGlasshow model. Weak interaction phenomenology. SU(3)c and Quantum chromodynamics asysmptotic freedom, Bjorken scaling. Quarks and partons. Selected topics. 

SPH 602  Field Theory   View Description 
Field Theory Description .Field equations 

SPH 601  Many Body Problem   View Description 
Many Body Problem Description .An introduction to the methods and basic physical processes in many body problem. Comparison of various physical systems and modern approximation methods. Noninteracting and interacting Fermi systems, response functions. Many body Green 

SPH 533  Advanced Laboratory Techniques   View Description 
Advanced Laboratory Techniques Description .Students specializing in different fields will follow specific topics and Condensed matter Group: Thin film deposition techniques e.g. physical vapour deposition techniques (evaporation and sputtering), and pyrolysis. Determination of optical constants; spectrophotometers, ellipsometer, two/four point probes. Interferometers, polarimeters, mechanical and nondestructive testing of materials. Microscopy (optical and electron microscopy), Xray diffraction. (XRD) Nondestructive evaluation (NDE) techniques; Ultrasonic Testing and Eddy current testing. In addition, candidates will also be required to undertake a supervised individual study and submit a report thereon. 

SPH 532  Advanced Mathematical Physics   View Description 
Advanced Mathematical Physics Description .Perturbation and asymptotic method. Operator techniques. Path integrals. Error. Gamma and Beta functions. Elliptic integrals. Stirling 

SPH 608  Plasma Physics   View Description 
Plasma Physics Description .The plasma state of matter 

SPH 612  Theoretical Nuclear Physics   View Description 
Theoretical Nuclear Physics Description .Tools for doing nuclear physics. The Q equation. Nuclear forces, models and reactions. Neutrons. Nuclear fission and fusion. The artificial elements. Nuclear fission reactors. (Elementary particle cosmic rays). The technique of NMR. The moss bauer effect. Energy production ion stars. Possibility of controlled fusion. 

SPH 611  Solid State Physics Ii   View Description 
Solid State Physics Ii Description .Atomic and Molecular Structures, Lattice vibrations, fluorescence, energy transfer, phonon process in solids, laser in crystals, Raman and Infrared Spectroscopy. Magnetic ordering in solids. Solar energy. Orderdisorder phenomena. Thermal & Magnetic properties of solids, correlation of phonon spectra from Newton scattering. 

SPH 610  Computational Physics Ii   View Description 
Computational Physics Ii Description .Eigenvalue Problems. Boundary Value Problems. Partial differential equations. Newton, Maxwell, Schroedinger equations. Nonlinear dynamics and chaos. Monte Carlo methods, percolatim. Fractals. Representation theory. 

SPH 609  Remote Sensing Physics Ii   View Description 
Remote Sensing Physics Ii Description .Electromagnetic Wave Scattering and emission. Radiative transfer theory. Analytical wave theory. Active and passive microwave remote sensing. Solution to Radiative transfer Equations. Scattering by Random Discrete Scatterers. 

SPH 607  Projects   View Description 
Projects Description .Candidates will select suitable project topics after consultation with members of staff in their areas of research interest.
Assessment by the Tutor shall constitute 40% of the total marks while those of at least two independent Examiners shall constitute the other 60% after an oral defence by the candidate. 

SPH 606  Group Theory   View Description 
Group Theory Description .Symmetry group operations. Permutations. Finite groups. Linear representations of finite groups. Irreducible representations. Orthogonalty theorem. Group characters and classes. Product groups and representations. Continuous groups. Rotations. Angular momentum algebra. Finite representations of the rotation groups. Irreducible representations of the Lorentz group. Classifications of Lie groups. Lie algebras. Casimir operators. ClebschGordan coefficients. WignerEckart theorem. Detailed discussion of SU(n), Young diagrams for Lie groups. Applications of group theory to Atomic Physics, Solid State Physics, Nuclear Physics and High Energy Physics. 

SPH 605  General Theory Of Relativity   View Description 
General Theory Of Relativity Description .Course Objective
This course in general relativity (G.R) is designed to help the learner develop an understanding of the tensor calculus and its application in the interpretation of gravity not as a force but as an intrinsic property due to spacetime curvature. These are captured under parallel transport, connections and curvature.
It discusses the shortcomings of the Newtonian theory of gravity and justifies the need for the tensor formulation of G. R. The theory conforms to almost all experimental tests it has been subjected to so far and the field equations attempt to predict the beginning and the end of the universe. These are issues which are currently being looked into through various space missions that probe evidence of these in the universe.
It addressed the questions to the end state of stars and even explains the cannibalism amongst binary star systems. These are captured under the subtopics of even horizons, black holes, white holes, singularities, Friedmann cosmology and the standard bigbang model and gravitational collapse.
At the end of this course the learner should have mastered enough tools to be able to undertake a supervised research project in general relativity and gravitational physics, cosmology and astrophysics.
Tensor. Metric. Parallel transport. Covariant derivative. Connections. Geodesics. Riemann curvature tensor. Bianchi identities. Equivalence principle. Equations of general relativity Newtonian limit. Schwarzschild geometry. Friedmann cosmology, the standard BigBang model. Gravitational collapse and back holes. Singularity theorems. Causality and event horizons. Second law of black holes. Supersymmetry and supergravity. Pregeometry. Quantum gravity. Hawking radiation. White holes. 
