ECE Course Outline

ECE6451

Introduction to the Theory of Microelectronics (3-0-3)

Prerequisites
None
Corequisites
None
Catalog Description
Basis of quantum mechanics, statistical mechanics, and the behavior of solids to serve as an introduction to the modern study of semiconductors and semiconductor devices.
Textbook(s)
Brennan, The Physics of Semiconductors with Applications to Optoelectronic Devices, Cambridge Univ. Press, 1999. ISBN 9780521593502 (required)

Topical Outline
I.  Basic Concepts
    A.  Wave-particle duality and the two slit experiment
    B.  Dynamical variables and operators
    C.  Completeness theorem and the fundamental expansion postulate
    D.  The Uncertainty Principle
    E.  Dirac notation
    F.  Matrix formulation of quantum mechanics

II.  One Dimensional Problems
    A.  Infinite square well
    B.  One dimensional barrier
    C.  Multiple barriers
    D.  Harmonic oscillator
        1.  Direct solution
        2.  Creation and annihilation operators

III.  Three Dimensional Problems
    A.  Central force motion and angular momentum
    B.  Hydrogen atom
    C.  Periodic table of the elements
    D.  Spin
    E.  Stern-Gerlach experiment and spin-orbit interaction

IV.  Approximation methods in quantum mechanics
    A.  Time independent perturbation theory
        1.  Nondegenerate theory
        2.  Degenerate theory
    B.  Time dependent theory
        1.  Transitions
        2.  Fermi's Golden Rule

V.  Statistical Mechanics
    A.  Density of states
    B.  Condition of equilibrium and the laws of thermodynamics
    C.  Boltzmann distribution
    D.  Quantum distribution functions
    E.  Boltzmann equation and nonequilibrium

VI.  Solid State Physics
    A.  Multiple electron atoms and systems
    B.  Crystalline symmetries and Bloch's theorem
    C.  Methods of band structure, tight binding, and Kronig-Penney
    D.  Reciprocal lattices and the Brillouin Zone
    E.  Nearly free electron model
    F.  Cellular methods