Contact Between Statistics and Thermodynamics; The Entropy of Mixing and the Gibbs
Paradox; Phase Space and Liouville’s Theorem; The Microcanonical, Canonical and Grand
Canonical Ensemble; Partition Function; Quantum States; Deriving the Distribution Functions
for a Classical gas, Fermi Gas, and Bose Gas; Thermodynamics of Ideal Gases; Energy
Fluctuations; Statistics of a System of Harmonic Oscillators; Paramgnetism; Magnetic cooling; A
System of Molecules with Internal Motion.
Introduction to Electrostatics; Boundary-Value Problems in Electrostatics; Multipoles;
Magnetostatics; Time-Dependent Fields and Maxwell’s Equations.
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.
Optical properties of semiconductors materials
Crystal Structure, Reciprocal Lattice,Diffraction of waves by crystal, Scattered wave amplitude, Reciprocallattice vectors, and Brillouin zone, Fourier analysis of the basis.Crystal Binding, Crystals of Inert gases, Ionic crystals, Covalent crystals and Metals.Free Electron Gas,Energy levels in one dimension, Free electron gas in three dimensions, Energy of electron in a box, Electrical conductivity and Ohm’s law,
Fermi energy. Energy Bands, Free electron model, Bloch functions, Kroning-Penney model, Energy bands from tight-binding, and Energy band structure of semiconductors.
Semiconductor Crystals,Band gap, Light-emission, Effective mass, Electron and hole excitations.Lattice Vibrations,Vibrations of crystals with monatomic basis, Phonon wave vectors, and Phonon dispersion, Inelastic Scattering by phonons.
The Wave Function and Uncertainty Principle, The Schrodinger Equation, One Dimensional Examples, Formal Quantum Mechanics, Angular Momentum, The Schrodinger Equation in Three Dimensions
Special Functions, Series Solutions of Differential Equations,Partial Differential Equations, Functions of Complex Variables.
Complex Numbers, Vector Analysis, Determinants and Matrices, Fourier Series and Transforms, Calculus of Variations.
Relativistic Kinematics: The Galilean Transformations, Absolute Time, Time Dilation, Fitzgerald-Lorentz Contraction, Lorentz Transformation.Relativistic Dynamics: Mass and Momentum, Force and Energy, Conservation of Mass and Energy. The Quantum Theory of of Light: Black Body Radiation, Photoelectric Effect, Compton Effect, X-Rays.The Particle Nature of Matter: Composition of Atoms, The Bohr Atom, Energy Levels.Matter Waves: The De Broglie Postulate, The Heisenberg Uncertainty Principle,Wave-Particle Duality.Quantum Mechanics: The Born Interpretation, Wavefunctions, The Particle in a Box.
Atomic Structure: The Zeeman Effect, Electron Spin, The Exclusion Principle, The Periodic Table, X- RaySpectra. Nuclear Structure: Nuclear Properties, Binding Energy, Nuclear Models,Radioactivity, Radioactive Decay Processes.Elementary Particles: Fundamental Forces, Particles and Antiparticles, Mesons, Classification of Particles, Conservation Laws.
Motion in One Dimension, Vectors, Motion in Two Dimensions, The Laws of Motion, Circular Motion and Other Applications of Newton’s Laws, Work and Kinetic Energy, Potential Energy and Conservation of Energy, Linear Momentum and Collisions, Rotation of a Rigid Object About a Fixed Axis, Rolling Motion and Angular Momentum.
Electric Field, Gauss’s Law; Electric Potential; Capacitance and Dielectrics; Current and Resistance; Direct Current Circuits, Magnetic Field, Sources of the Magnetic Field, Faraday’s Laws of Induction.
Students perform 11 experiments of 3 hr/week duration. These experiments are: Collection and Analysis of Data, Measurements and Uncertainties, Vectors: Force Table, Kinematics of Rectilinear Motion, Force and Motion,Collision in Two Dimensions, Rotational Motion, Simple Harmonic Motion: Simple Pendulum, The Behaviour of Gases with Changes in Temperature and Pressure, The Falling Sphere Viscometer, Specific Heat Capacity of Metals.
Students perform 12 experiments of 3 hr/ week duration. These experiments are: Electric Field Mapping, Specific Charge of Copper Ions, Power Transfer, Potentiometer, Capacitors: RC Time Constant, Kirchhoff's Laws, Magnetic Field of a Current, Lenses, Young's Double Slit Experiment, Electromagnetic Induction, Ohm's Law.