1-2 |
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 | - |
3-4 |
Finite potential well, tunneling, Quantum theory of the free electron gas,
solutions to "particle in a box", 1-D, 2-D, and 3-D metals, Born Von Karman periodic
boundary conditions, Fermi Energy, density of states, charge density, Fermi-Dirac
distribution, chemical potential and its temperature dependence, electronic contribution to
the specific heat, the Bohr model
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5 |
Hydrogen atom, radial wave functions, spherical harmonics, the principal, orbital,
magnetic, and spin quantum numbers, periodic table and energy levels
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6-7 |
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
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8-10 |
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 p-like energy band dispersions, Si, Ge and GaAs band structures
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11-12 |
Intrinsic and extrinsic semiconductors, impurities and doping, temperature
dependence of carrier concentration, resistivity and conductivity, carrier transport, drift and
diffusion of electrons and holes
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- |
13 |
Review of the studied course material
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