The course provides an overview of the main kinetic and macroscopic models for semiclassical and quantum transport in semiconductors

- A short introduction to quantum mechanics and semiconductor physics: Schrödinger
equation, crystal structure of solids, electrons in a periodic potential, semi-classical
picture, semiconductor statistics.
- Semi-classical kinetic models: Liouville, Vlasov, Boltzmann equations.
- Drift-diffusion equations: formal derivation from Boltzmann equation, bipolar model,
thermal equilibrium.
- Hydrodynamic equations: formal derivation from Boltzmann equation, relaxation-time
limits.
- Quantum kinetic equations: mixed states and density operator formalism, quantum
Liouville and quantum Vlasov equations, Wigner equation.
- Quantum hydrodynamic equations (QHEs): QHEs from pure-state and mixed-state
Schrödinger equations, Wigner formalism, QHEs from Wigner equations.