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: Schrödingerequation, crystal structure of solids, electrons in a periodic potential, semi-classicalpicture, 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-timelimits.- Quantum kinetic equations: mixed states and density operator formalism, quantumLiouville and quantum Vlasov equations, Wigner equation.- Quantum hydrodynamic equations (QHEs): QHEs from pure-state and mixed-stateSchrödinger equations, Wigner formalism, QHEs from Wigner equations.
Not necessary