Degree Code: | I56 |

Degree Name: | MASTER OF SCIENCE IN PHYSICS (Revised) |

Degree Type: | MASTERS |

Degree Duration: | 2 |

Degree Description: | Click to View |

This is a revised M.Sc. Program that aims at providing sufficient basis for specialization in the various distinct areas of Physics as a subject. It captures the strengths of the Department in terms of expertise and infrastructure. The Department has in the past offered courses, which largely produced M.Sc. graduates with limited specialization scope. Whereas four of the Specialization Groups below have largely existed in a homogenous form, two entirely new Groups of Nuclear and Radiation Physics, and Laser Physics and Spectroscopy respectively have been introduced. Some of the units in the old program have been re-structured or re-packaged while a number of new units have been introduced to cater for stronger specialization. These will help the students to focus early on their areas of specialization in order to reduce the time taken for thesis research. Areas of specialization have been grouped as below for award of specific Masters degree:
i) Theoretical Physics ii) Experimental Condensed Matter Physics iii) Geo- and Space Physics iv) Electronics and Instrumentation v) Nuclear and Radiation Physics vi) Laser Physics and Spectroscopy
The program aims to train high-level personnel competent in various disciples of Physics and who are well prepared to meet the various challenges of industrial and human resource development. This is premised on - good knowledge and skills in the basic courses of physics; - in-depth knowledge of some special areas of physics; - provision of basis for further training and education in physics.
3.1 Common regulations for the Master of Science degree in the University of Nairobi and the School of Physical Sciences shall apply.
3.2 Holders of a Bachelor’s degree with at least Second Class Honours (Upper Division) in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate.
3.3. Holders of a Bachelors degree with a Second Class Honours (Lower Division) in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate, plus at least two years relevant research/work experience may be considered for admission.
3.4. Holders of a Bachelors Pass degree in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate, plus at least five years relevant research/work experience may be considered for admission.
A candidate may be exempted from some course units and credit transferred from institutions recognized by Senate, subject to the following conditions:
4.1. Must have passed in similar units at Masters level; 4.2. Request for exemption/credit transfer should be made in writing, on admission, addressed through the Chairman Department of Physics, and Dean, School of Physical Sciences, to the Director of Board of Postgraduate Studies, and must be accompanied by officially endorsed supporting documents including the syllabuses for the relevant courses; 4.3. Payment of appropriate exemption fees; 4.4. No candidate shall be exempted from or transfer more than one third of the total number of units required in the course.
5.1. Candidates for the Master of Science degree in the Department shall follow courses of study as laid down in the approved specialization programmes for a period not less than four semesters but not more eight semesters. The first year (
5.2. A course unit will be defined as comprising
5.3. The candidate shall register for specified core courses for the chosen area of specialization together with suitable electives to total a minimum of
5.4. The Second year (
5.5. The Second year ( | |

Degree Courses: |
View |

**DEGREE REGULATIONS**

Course Structure and Duration | View Details | ||||||||||||||

1. Candidates for the Master of Science degree in the Department shall follow courses of study as laid down in the approved specialization programmes for a period not less than four semesters but not more eight semesters. The first year ( 2. A course unit will be defined as comprising 3. The candidate shall register for specified core courses for the chosen area of specialization together with suitable electives to total a minimum of 4. The Second year ( 5. The Second year ( | |||||||||||||||

Award of Degree | View Details | ||||||||||||||

The final degree award shall be Master of Science in Physics (Area of Specialization). | |||||||||||||||

Entry Requirements | View Details | ||||||||||||||

Common regulations for the Master of Science degree in the University of Nairobi and the School of Physical Sciences shall apply. Holders of a Bachelor’s degree with at least Second Class Honours (Upper Division) in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate. Holders of a Bachelors degree with a Second Class Honours (Lower Division) in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate, plus at least two years relevant research/work experience may be considered for admission. Holders of a Bachelors Pass degree in Physics or a related subject from the University of Nairobi or any other Institution recognized by the Senate, plus at least five years relevant research/work experience may be considered for admission.
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Examinations Regulations | View Details | ||||||||||||||

1.1 Each unit shall be examined by a
1.2 For units SPH 613, 632 and 635 Continuous Assessment shall comprise 60% of the marks at the end-of-semester examinations shall comprise 40%.
1.3 The pass mark for the examination in a unit/paper shall be 50%.
1.4 Candidates must pass all the units, if necessary by Supplementary Examinations, in order to proceed from the First (Part I) to the Second (Part II) year of study, and in Part II in order to qualify for degree award.
1.5 In Supplementary examinations a score of less than 50% shall be regarded as the agreed marks, but for scores of 50% and above, the agreed marks shall be recorded as 50%.
1.6 A candidate may, on the recommendation of the School of Physical Sciences Board of Examiners and approval by Senate, be allowed to sit Supplementary examinations if the candidate fails in not more than two units, subject to clause 6.1.6(b).
1.7 A candidate shall normally be discontinued from the University if the candidate fails a) In more than two units; b) To score more than 40% in any one or more unit(s)/course(s); c) In the Supplementary examinations; d) To follow the prescribed course; e) To obtain the pass mark in the dissertation/project after 2nd resubmission;
2.1 The Dissertation (SPH 707: Project) shall be submitted two weeks before the end of the final semester of study, and graded independently out of one hundred (100) marks distributed as follows: 70% for the project report (assigned as follows: 40% by the supervisor, and 30% by at least two independent internal Examiners). The oral presentation shall constitute 30%.
2.2 A candidate who fails to obtain the pass mark in the dissertation may, on the recommendation of the School of Physical Sciences Board and approval of Senate, be allowed to resubmit the project for a maximum of two times within three months.
2.3 A pass obtained after re-submission of the dissertation will be recorded as 50%.
For the examination of a thesis the University Regulation governing this shall apply. | |||||||||||||||

INTRODUCTION | View Details | ||||||||||||||

This is a revised M.Sc. Program that aims at providing sufficient basis for specialization in the various distinct areas of Physics as a subject. It captures the strengths of the Department in terms of expertise and infrastructure. The Department has in the past offered courses, which largely produced M.Sc. graduates with limited specialization scope. Whereas four of the Specialization Groups below have largely existed in a homogenous form, two entirely new Groups of Nuclear and Radiation Physics, and Laser Physics and Spectroscopy respectively have been introduced. Some of the units in the old program have been re-structured or re-packaged while a number of new units have been introduced to cater for stronger specialization. These will help the students to focus early on their areas of specialization in order to reduce the time taken for thesis research. Areas of specialization have been grouped as below for award of specific Masters degree:
i) Theoretical Physics ii) Experimental Condensed Matter Physics iii) Geo- and Space Physics iv) Electronics and Instrumentation v) Nuclear and Radiation Physics vi) Laser Physics and Spectroscopy | |||||||||||||||

Introduction | View Details | ||||||||||||||

This is a revised M.Sc. Program that aims at providing sufficient basis for specialization in the various distinct areas of Physics as a subject. It captures the strengths of the Department in terms of expertise and infrastructure. The Department has in the past offered courses, which largely produced M.Sc. graduates with limited specialization scope. Whereas four of the Specialization Groups below have largely existed in a homogenous form, two entirely new Groups of Nuclear and Radiation Physics, and Laser Physics and Spectroscopy respectively have been introduced. Some of the units in the old program have been re-structured or re-packaged while a number of new units have been introduced to cater for stronger specialization. These will help the students to focus early on their areas of specialization in order to reduce the time taken for thesis research. Areas of specialization have been grouped as below for award of specific Masters degree:
i) Theoretical Physics ii) Experimental Condensed Matter Physics iii) Geo- and Space Physics iv) Electronics and Instrumentation v) Nuclear and Radiation Physics vi) Laser Physics and Spectroscopy | |||||||||||||||

OBJECTIVES | View Details | ||||||||||||||

The program aims to train high-level personnel competent in various disciples of Physics and who are well prepared to meet the various challenges of industrial and human resource development. This is premised on - good knowledge and skills in the basic courses of physics; - in-depth knowledge of some special areas of physics; - provision of basis for further training and education in physics. | |||||||||||||||

SPECIALIZATION OPTIONS | View Details | ||||||||||||||

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Exemption from Courses | View Details | ||||||||||||||

A candidate may be exempted from some course units and credit transferred from institutions recognized by Senate, subject to the following conditions: 1. Must have passed in similar units at Masters level; 2. Request for exemption/credit transfer should be made in writing, on admission, addressed through the Chairman Department of Physics, and Dean, School of Physical Sciences, to the Director of Board of Postgraduate Studies, and must be accompanied by officially endorsed supporting documents including the syllabuses for the relevant courses; 3. Payment of appropriate exemption fees; 4. No candidate shall be exempted from or transfer more than one third of the total number of units required in the course. |

**DEGREE COURSES**

Level : 1 | |||

Semester: Non Specified | |||

Course Code |
Course Name |
Course Hours | |

SPH 601 | Classical Mechanics | View Description | |

Classical Mechanics Description Mechanics of particle, moving co-ordinate systems; mechanics of a system of particles; The Lagrangian formulation; Variational principles; The two body central force problems; Canonical transformation; Hamilton-Jacobi methods of canonical perturbation theory; Small Oscillations; Special relativity in classical mechanics | |||

SPH 602 | Statistical Mechanics | View Description | |

Statistical Mechanics Description Classical theory of equilibrium states; Theory of fluctuation; Brownian motion; Nyquist-Johnson noise; Fluctuation dissipation theorem; Paramagnetism; The perfect quantal gas; Black-body-Radiation; Second quantization; Superfluidity | |||

SPH 603 | Quantum Mechanics I | View Description | |

Quantum Mechanics I Description
Preliminary concepts; Physical applications of Schroedinger equation to one- and three-dimensional problems; Spherically symmetric systems; Linear vector space and operators; Matrix formulation of quantum mechanics and elementary representations theory; Angular momenta and their properties; Time independent quantum approximation methods (stationary perturbation theory, variation method and W.K.B. method); Quantum theory of scattering | |||

SPH 604 | Electrodynamics I | View Description | |

Electrodynamics I Description Guass’s Law; Poisson and Laplace Equations; Green’s theorems; Electric dipole and quadrupole moments; Boundary value problems; Dielectrics; Polarizability; Vector potential; Magnetic dipole moment; Maxwell equations; Gauge transformations; Wave equation; Polarization; Stoke’s parameters; Reflections and refraction at a plane interface; Dispersion and dissipation; Conductors and plasmas; Propagation in the ionosphere; Radiation from an oscillating source; Dipole and quadrupole fields. Antennae; Scattering by fluids; Wave guides; Modes in rectangular wave guides; Resonant cavities | |||

SPH 605 | Solid State Physics I | View Description | |

Solid State Physics I Description Periodic structures; Phonons and specific heat; Electron states and various methods of energy band calculations; Cohesion of solids; Electron-electron interaction; Optical properties; One electron dynamics; K.P. method; Impurities; Measuring the Fermi surface; Quantum wells; Diamagnetism; Paramagnetism and magnetic ordering; Superconductivity | |||

SPH 606 | Solid State Electronics | View Description | |

Solid State Electronics Description P – N junctions; Bipolar transistors; Physics of MOS; Devices; Integrated circuit components; Physics of diffusion; Semiconductor band structure; Semiconductor emitters and detectors; Physics and technology of Solar Cells: p-n junction and solar cell, electrical and optical solar cell characteristics; Microwave devices | |||

SPH 607 | 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 co-ordinates; Torsion; Pressure vessels; Holes, cracks and stress concentration | |||

SPH 608 | 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; Thermal properties of solids- phonons, thermal conductivity, thermal expansion; Equation of State of solids; Optical properties of solids | |||

SPH 609 | 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- 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– crystallization, glass transformation; Theories of folding; Properties and morphology- Electrical, optical and chemical properties; Fibres and Matrices; Fibre matrix interface; Geometrical aspects | |||

SPH 610 | Solar Energy | View Description | |

Solar Energy Description Introduction to renewable energy sources (biomass, wind energy, ocean current energy) and limitations; renewable energy conversion pathways, solar spectra- natural radiation, some goals of material science for solar energy conversion systems; Photosynthesis- its relation to energy production; Thin film technology- Deposition of thin films, methods of thin film deposition; Solar thermal- Solar collector surfaces | |||

SPH 611 | Solar Energy Materials | View Description | |

Solar Energy Materials Description Solar cell materials- atomic and molecular structures of PV materials | |||

SPH 612 | 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, magnetron sputtering, chemical vapour depositions; Thin film characterization methods | |||

SPH 613 | Advanced Electronics | View Description | |

Advanced Electronics Description Noise; Passive and active filters; Instrumentation amplifiers; Lock–in amplifiers; Sample–and–hold circuits; Analogue–to–digital conversion; Neural systems and fuzzy logic; Dynamical systems
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SPH 614 | Signal Processing | View Description | |

Signal Processing Description Transform methods- Discrete Fourier transforms, Z–transforms, Principle Component Analysis, Independent Component Analysis, Wavelet transforms; Signal Operation- sampling, adaptive filtering, spectral analysis, modulation, compression, encryption; Applications- audio processing, image processing, audio recognition, image recognition | |||

SPH 615 | Embedded Systems | View Description | |

Embedded Systems Description Advanced computer architectures; Microprocessors, microcontrollers, digital signal processors (DSP), field programmable gate arrays (FPGA); Design considerations- development, methodology, hardware, tools, software tools; Troubleshooting– hardware and software debugging tools; Operating system design; Memory allocation; Interface design- physical considerations- power requirements (buffers and drivers), geometric requirements, structural requirements; Logical considerations – controllers, standard and general purpose buses; Interface paradigms – polling methods, interrupt handshake protocols; Programmed I/O; Coprocessor I/O | |||

SPH 616 | Electronic Communication Systems | View Description | |

Electronic Communication Systems Description Amplitude modulation and single-sideband modulation; Amplitude modulation circuits; Frequency modulation; Frequency modulation circuits; Radio transmitters; Communication receivers; Multiplexing; Antennas; Transmission lines and wave propagation; Microwave techniques; Introduction to satellite and mobile communications; Data communications; Fibre-optic communication systems; Television; Telephone systems and their applications | |||

SPH 617 | Spectro–physics | View Description | |

Spectro–physics Description Radiation Parameters: Einstein A and B transition probabilities- relationship with line strength and oscillator strength, intensity, radiance, radiation density; Population of Energy Levels: collisional excitation and deactivation, radiational excitation and decay, dissociation of molecules, ionization; Many atom system levels; Vibrational states; Band structures; Vibrational temperatures; Molecular orbitals; Molecular spectroscopy; Temperature: Maxwell velocity distribution, Planck’s law for radiational energy density of a black body, Boltzmann occupation of atomic and ionic internal energy levels, Saha equations for ionization equilibrium, Thermodynamic equilibrium; Spectral Line Profiles: Natural broadening – Lorentz profile, thermal motion, Doppler broadening and Gaussian profiles, convolution of line profiles, Voigt profile from the convolution of a Lorentz or Gaussian profile, Line broadening mechanisms; Plasma diagnostics: Spectroscopic temperature measurement techniques, electron density determination; Spectroscopic Instrumentation: Laboratory radiation sources, spectrometer configurations, radiation
detectors and measurement systems. Spectroscopic techniques: Atomic emission, atomic absorption, atomic fluorescence | |||

SPH 618 | Optical And Laser Physics | View Description | |

Optical And Laser Physics Description Overview of wave propagation phenomena; EM waves in various media (dielectrics, semiconductors, and conductors); Oblique incidence problems in dielectrics and conductors; Polarisation- ellipsometry; Dispersion theory of dielectric media; Normal and anomalous dispersion; Emission and absorption of light; Interaction of radiation with matter; Spontaneous and stimulated emission; Laser fundamentals; Attainment of population inversion; Optical resonator; Threshold gain coefficient; Line shape function; Laser modes; Operation of lasers: gas, ion-doped solid-state, excimer and semiconductor diode lasers; Frequency stabilisation; Mode-locking; Q-switching; Properties of laser light; Modulation of light; Birefringence; Electro-optical, magnet-optic and acousto-optic effects; Non-linear effects; Optical frequency conversion; Laser safety | |||

SPH 619 | Laser Applications | View Description | |

Laser Applications Description Review of properties of laser radiation- line width, frequency stabilisation, divergence, coherence, brightness, conversion of laser radiation (Q-switching, mode locking and frequency doubling); Metrological and scientific applications: optical alignment, measurement of distance, interferometry, surface topography and optical component testing, beam-modulation telemetry, Pulse-echo techniques: LADAR and LIDAR. LDV: Laser Doppler velocimetry; Laser gyroscopes; Industrial, medical and military applications of lasers- beam focusing and transport, material-processing applications, laser- induced nuclear fusion, laser weapons; Holography; Optical information transmission and storage- optical communication, optical fibre, optical emitters and detectors; Integrated optics; Laser printing; Optical disc systems- audio CD, CD-ROM, DVD | |||

SPH 620 | Photonics And Optoelectronics | View Description | |

Photonics And Optoelectronics Description Modulation of light; Elliptical polarization, birefringence; Optical activity, electro-, magnetic and acousto-optic effects and devices; Nonlinear crystals; Scanning and switching; Display devices- CRT, LED, plasma, flat-screen and LCD displays; Photo detectors- thermal and quantum: PMT, photoconductive; Photodiode- p-n, p-i-n, avalanche; Photodiode amplifiers; CCD devices; Fibre optical waveguides- planar dielectric, optical fibre; Dispersion and losses in optical fibre; Fibre modes; Fibre jointing and connectors; Measurement of fibre characteristics; Fibre materials and fabrication; Optical communication systems- analogue and digital modulation, free space communication; Fibre optical communication systems: fibre-to-the-home, FTTH, Ethernet, LAN, metro and long haul; Optical fibre amplifiers; Non-communication applications of fibres; Integrated optics- channel or strip waveguides, distributed-feedback lasers, couplers, modulators and switches; Planar optical devices; Surface emitting lasers | |||

SPH 621 | Advanced Nuclear Physics | View Description | |

Advanced Nuclear Physics Description Review of fundamentals of Nuclear Physics- the nuclear atom (Rutherford’s model and the Bohr’s modifications); Nuclear structure & models; Nuclear stability; Nuclear moment, parity and statistics; Nuclear reactions (scattering, collisions)- conservation of physical quantities, Q-value determination, cross-sections, the Breit –Wigner formula; Excited states of nuclei-nuclear decays (alpha, beta and gamma) and spontaneous fission; Elementary particle physics | |||

SPH 622 | Radiation Physics | View Description | |

Radiation Physics Description Alpha, beta and gamma decay processes; Theory of gamma decay; Quantum mechanical tunneling; The Gamow factor, alpha decay spectroscopy; Types of beta decay processes; X-rays following beta decay, the Fermi theory of beta decay; Energetics of gamma decay, internal conversion, isometric transitions, branching ratios and life-times 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 623 | Radiation Measurement And Spectroscopy | View Description | |

Radiation Measurement And Spectroscopy Description Principles of radiation detection; Review of interaction of radiation with matter; Ionizations and excitations; Survey of detector types; Gas-filled, scintillation and [semiconductor detectors- NaI (TI) detectors, characteristic] and resolving time; liquid scintillation counting, quenching; Solid state (semiconductor) detectors- the HPGe and HPI detectors, photo-peak efficiencies and multi-channel pulse height analysis; Detectors resolution measurement statistics | |||

SPH 624 | Radiation Protection And Dosimetry | View Description | |

Radiation Protection And Dosimetry Description Review of biological effects of radiation; Radiation exposure pathways (external 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 625 | Applications Of Radiation | View Description | |

Applications Of Radiation Description Peaceful uses of nuclear techniques in research, industry, medicine, agriculture and the environment; Nuclear power; Tracer studies using radioisotopes; Material characterization- radiography; Medical diagnosis and therapy; Mineral exploration (Naturally-Occurring Radioactive Materials– NORMs and TENORMs); Other uses of radiation, e.g., in food preservation | |||

SPH 626 | Geodynamics | View Description | |

Geodynamics Description Geophysical Data acquisition and processing; Fourier analysis and signal processing; Mathematical treatment of solar system; Earth’s figure and gravitation; Space geodetic methods for crustal strain studies; Earthquakes and seismotectonics; Rigid plate theory and global tectonics; Earths internal heat and heat flow | |||

SPH 627 | Exploration Geophysics | View Description | |

Exploration Geophysics Description Advanced Mathematical study of the geophysical methods of exploration for petroleum, minerals, geothermal and water; Methods- seismic, gravity magnetic, electrical, electromagnetic and nuclear techniques; Marine geophysics and geophysical well logging techniques | |||

SPH 628 | Paleomagnetism | View Description | |

Paleomagnetism Description Paleo-tectonics; Plate tectonics and Continental Drift Theory; General features of geomagnetic field; Magneto-hydro-dynamic theory (MHD); Magnetic mineralogy; Sampling procedure and measurements; Magnetic and thermal cleaning of natural remanence; Statistical and mathematical analyses– Fisher’s statistics; Geochronological methods of dating rocks; Applications: Archeological, Geomagnetic, Geological and geophysical, Paleo-environment and Environment, biological | |||

SPH 629 | 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 titanomagnetites, oxidized titanomagnetites, other iron bearing minerals; Magnetic properties of rocks- magnetic minerals & their origin, anisotropy of magnetic susceptibility, magnetic hysteresis, thermomagnetic properties, classification of remanence, alternating field and thermal demagnetization, piezomagnetic effect; Application of rock magnetism | |||

SPH 630 | 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– F-region, D-region; Some practical aspects of upper atmospheric studies | |||

SPH 631 | 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
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SPH 632 | Advanced Laboratory Techniques | View Description | |

Advanced Laboratory Techniques Description Students specializing in different fields will follow specific topics relevant to their specialization:
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SPH 633 | Mathematical Physics | View Description | |

Mathematical Physics Description Partial differential equations; Calculus of variation; Green’s functions; Theory of functions of a complex variable; Integral equations; Tensors; Matrices; Linear Operators; Representations; Dirac Algebra; Introduction to Group Theory | |||

SPH 634 | 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’s formula; Representations; Selected topics (depending on the research of the candidates) | |||

SPH 635 | Computational Physics I | View Description | |

Computational Physics I Description Solution of non-linear equations; Polynomial interpolar 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 non-symbolic computation techniques | |||

SPH 635 | Computational Physics I | View Description | |

Computational Physics I Description Solution of non-linear equations; Polynomial interpolar 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 non-symbolic computation techniques | |||

SPH 635 | Computational Physics I | View Description | |

Computational Physics I Description Solution of non-linear equations; Polynomial interpolar 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 non-symbolic computation techniques | |||

SPH 635 | Computational Physics I | View Description | |

Computational Physics I Description | |||

SPH 636 | Quantum Mechanics Ii | View Description | |

Quantum Mechanics Ii Description Identical particles and spin; Time-dependent quantum approximation methods and semi-classical theory of radiation; Many electron system (atoms and molecules); Relativistic Quantum mechanics; Quantisation of fields (second quantization); Interacting fields and Feynman diagrams | |||

SPH 637 | 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’s formula; Radiation from a particle in linear and circular motion; Dynamics of relativistic particles in uniform and non uniform fields; Adiabatic invariants; Collisions between charged particles; Cerenkov and transition radiation; Bremsstrahlung; Weizsacker-William’s approximation; Multipole fields | |||

SPH 638 | 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 Sun-photosphere; Chromosphere and Corona; Sunspots; Solar Flares; Radiation Belts; Solar wind; Interplanetary magnetic field; The magnetosphere; Ring currents; Magnetic storms- Aurora; Micro-pulsations | |||

SPH 639 | Relativity | View Description | |

Relativity Description Background; Lorentz transformation; Tensors in special relativity kinematics and dynamics; Electrodynamics in space-time; Newtonian gravitational theory; Equivalence principle geometry of space- time; Covariant differentiation; Geodesics; Parallel transport; Curvature tensor; Schwarzschild geometry | |||

SPH 640 | Planetary Physics | View Description | |

Planetary Physics Description Mechanical & Thermal Aspects of a Planetary Interior: Gravity and the figure of a planet; Seismic waves; Anelasticity and Creep; Planetary Heat Transfer; Planetary Magnetor: Spatial and Temporal Variations of Planetary Magnetic factor; Hydromagnetism and Dynamo Theory; Paleomagnetism; Dynamics of the Earth-Movement System: Orbital Dynamics of the Earth- moon system; Rotational Dynamics; Effects ofElasticity and Fluidity; Energy Dissipating Processes | |||

Level : 2 | |||

Semester: Non Specified | |||

Course Code |
Course Name |
Course Hours | |

SPH 701 | Many Body Problem | View Description | |

Many Body Problem Description An introduction to the methods and basic physical processes in many body problems; Comparison of various physical systems and modern approximation methods; Non-interacting and interacting Fermi systems; Response functions; Many body Green’s function methods | |||

SPH 702 | Field Theory | View Description | |

Field Theory Description Field equations– Klein-Gordon Field, Dirac field, electromagnetic field; Space-time symmetries, internal symmetries, Noether’s theorem; Quantization of free fields; Interacting fields; Dyson-Wick expansion; Feynman graphs; Renormalization in QED | |||

SPH 703 | High Energy Physics | View Description | |

High Energy Physics Description Symmetries and groups; Gauge symmetries and Yang-Mills theories; Electromagnetic field as U(1) gauge field, SU(2)w and Salam-Weinberg-Glasshow model; Weak interaction phenomenology; SU(3)c and Quantum chromodynamics; Asymptotic freedom; Bjorken scaling; Quarks and partons; Selected topics | |||

SPH 704 | Astrophysics | View Description | |

Astrophysics Description Hertzspprung-Russel diagram; Classification of stellar system; Physics of stellar interiors; Radiative transfer problems; Abundances of the elements; Stellar models; Physics of the interstellar medium; Origin of cosmic rays; Thermal and non-thermal radiation processes | |||

SPH 705 | General Theory Of Relativity | View Description | |

General Theory Of Relativity Description Metric tensor; 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 Big-Bang model; Gravitational collapse and back holes; Singularity theorems; Causality and event horizons; Second law of black-holes; Supersymmetry and supergravity; Pre-geometry; Quantum gravity; Hawking radiation; White holes | |||

SPH 706 | Group Theory | View Description | |

Group Theory Description Symmetry group operations; Permutations; Finite groups; Linear representations of finite groups; Irreducible representations; Orthogonality 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; Clebsch-Gordan coefficients; Wigner-Eckart 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 707 | Project | View Description | |

Project Description Candidates will select suitable project topics after consultation with members of staff in their areas of research | |||

SPH 708 | Plasma Physics | View Description | |

Plasma Physics Description The plasma state of matter– plasma concepts (Debye length, Plasma oscillations, etc.); Plasma kinetics and magnetic-fluid dynamics; Applications to magnetospheric, astro-, space ionospheric physics; plasmas transport phenomena; Thermal and radiative processes in plasmas; Plasma waves and instabilities; Electromagnetic waves in plasma | |||

SPH 709 | 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 710 | 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; Percolation; Fractals; Representation theory | |||

SPH 711 | 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; Order-disorder phenomena; Thermal & Magnetic properties of solids; Correlation of phonon spectra from Newton scattering | |||

SPH 712 | Theoretical Nuclear Physics | View Description | |

Theoretical Nuclear Physics Description Tools for 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 Mossbauer effect; Energy production ion stars; Possibility of controlled fusion | |||

SPH 713 | Solar System Dynamics | View Description | |

Solar System Dynamics Description Structure of the Solar System; The Two-Body Problem; The Restricted Three Body Problem; Tides, Rotation and Shape; Spin-Orbit Coupling; The Disturbing Function; Secular Perturbations; Resonant Perturbations; Planetary Rings | |||

SPH 714 | High Energy Astrophysics | View Description | |

High Energy Astrophysics Description Radiative processes in Astrophysics; Binary Stars; Accretion Discs; The Milky Way; Nature of Galaxies; Galactic Evolution; Structure of the Universe; Active Galaxies and Quasi-Stellar Objects | |||

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