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Semester 1 : 25 double lectures


Lecturers
Dr SH Connell University of the Witwatersrand Sections 1-5, 7
Dr A Forbes National Laser Centre Section 6

  1. Relativistic Mechanics [8 lectures]
    1. Relativity, reference frames
    2. The Galilean Transformation
    3. The failure of the Galilean Transformation
    4. Special Relativity
    5. The Lorentz Transformation
    6. Time Dilation, The Doppler Effect
    7. Length Contraction
    8. The Twin Paradox
    9. Electricity and Magnetism
    10. The Relativity of Mass
    11. Mass and Energy
    12. Massles particles
    13. General Relativity
    14. Applications - GPS systems
  2. Introduction to Quantum Mechanics [8 lectures]
    1. Young's double slit experiment - Quantum mechanical behaviour
    2. Wave Functions, Operators
    3. Schrödinger's Time-Dependent Wave Equation
    4. Calculating Observables
    5. Schrödinger's Time-Independent Wave Equation
    6. Simple Quantum Systems
      1. The particle in a box
      2. The finite potential well
      3. Barrier penetration, tunneling
    7. Applications : The STM microscope, alpha decay, the quantum limit for the miniturisation of the classical computer
  3. Quantum Mechanics of Atoms [8 lectures]
    1. Introduction
    2. A full Quantum Mechanical Model of the Atom
    3. Solving the Schrödinger equation for hydrogen-like atoms,
    4. Quantising intrinsic electron spin
    5. Quantum numbers
    6. Probability densities
    7. Radiative transitions
    8. Many-electron atoms
    9. Symmetric / antisymmetric wave functions
    10. Pauli's exclusion principle
    11. Applications : Understanding the Periodic Table
  4. Statistical Mechanics [5 lectures]
    1. Introduction
    2. Maxwell-Boltzmann Statistics
    3. The Ideal Gas
    4. Indistinguishability of particles and Quantum Statistics
    5. Boson Statistics
    6. Black-body radiation and Planck's Radiation Law
    7. Fermion Statistics
    8. Applications : Electrons in a metal - Ohm's Law, switches
  5. Modern materials [1 lectures]
    1. Nanomaterials
    2. Superconductors
  6. Lasers [5 lectures]
    1. Introduction
    2. Applications
  7. From Semiconductivity to Micro-electronics [14 lectures]
    1. Introduction, history, highlights, the future
    2. Quantum Mechanical review
    3. Crystal lattices, periodic potentials, surprising results
    4. Band structure, mobility, effective mass, holes
    5. Fermi statistics, charge carrier concentrations, dopants
    6. Diffusion and drift of charge carriers
    7. Junctions, depletion regions, band bending, Fermi levels.
    8. Applications : Devices (diodes, transistors, solar cells, CCD's ...)
    9. Applications : Beyond Moore's law ... Quantum Computing and Communication


next up previous
Next: About this document ... Up: lecture-outline Previous: lecture-outline
Simon Connell 2006-02-21