Microscopic and macroscopic models in the hierarchy of models for semiconductors are derived and explained. Both, classical and quantum mechanical approaches for ultra-small components are considered. In particular, the focus is on:
- fundamentals of Semiconductor Physics: charge transport, interactions, electrostatics,
- microscopic models: Newton, Liouville and Fokker-Planck equations, Schrödinger equations,
- classical macroscopic models: drift-diffusion equations, hydrodynamic models, energy transport systems,
- macroscopic quantum models: Madelung transformation, quantum drift diffusion, quantum energy transport.