12 
The de Broglie wavelength, the Schrodinger equation, the concept of probability
and its relation to the wavefunction, the Born interpretation, Expectation values of
operators, Heisenberg uncertainty principle, Infinite potential well, discrete energy levels   
34 
Finite potential well, tunneling, Quantum theory of the free electron gas,
solutions to "particle in a box", 1D, 2D, and 3D metals, Born Von Karman periodic
boundary conditions, Fermi Energy, density of states, charge density, FermiDirac
distribution, chemical potential and its temperature dependence, electronic contribution to
the specific heat, the Bohr model

 
5 
Hydrogen atom, radial wave functions, spherical harmonics, the principal, orbital,
magnetic, and spin quantum numbers, periodic table and energy levels


67 
Lattice and reciprocal lattice, fcc and bcc Brillouin zones, Bloch theorem, Kronig
Penney model in 1D, periodic potentials, nearly free electrons, Bragg reflection of electrons,
formation of energy gaps and energy bands


810 
Semiconductor crystal structures, sp3 hybridization, band dispersion diagrams,
motion of electrons and holes, effective mass tensor (parabolic approximation), direct and
indirect fundamental bandgaps, valence and conduction bands, optical excitation, phonons
(basics), s and plike energy band dispersions, Si, Ge and GaAs band structures

 
1112 
Intrinsic and extrinsic semiconductors, impurities and doping, temperature
dependence of carrier concentration, resistivity and conductivity, carrier transport, drift and
diffusion of electrons and holes

 
13 
Review of the studied course material

 