Introduction / Part I: |
Basic Semiconductor Physics / 1: |
Semiconductor Crystals / 1.1: |
The Schrödinger Equation / 1.2: |
Electrons in a Periodic Potential / 1.3: |
The Semi-Classical Picture / 1.4: |
The k.p Method / 1.5: |
Semiconductor Statistics / 1.6: |
References |
Derivation of Macroscopic Equations / 2: |
The Boltzmann Equation and its Scalings / 2.1: |
Maxwellians / 2.2: |
Hydrodynamic Models / 2.3: |
Diffusion Models / 2.4: |
Reference |
Microscopic Semi-Classical Models / Part II: |
Collisionless Models / 3: |
The Liouville Equation / 3.1: |
The Vlasov Equation / 3.2: |
Scattering Models / 4: |
The Boltzmann Equation / 4.1: |
Properties of Collision Operators / 4.2: |
Additional Topics / 4.3: |
Macroscopic Semi-Classical Models / Part III: |
Drift-Diffusion Equations / 5: |
Derivation from the Boltzmann Equation / 5.1: |
The Bipolar Model / 5.2: |
Thermal Equilibrium State and Boundary Conditions / 5.3: |
High-Field Models / 5.4: |
Drift-Diffusion Models Using Fermi-Dirac Statistics / 5.5: |
Energy-Transport Equations / 6: |
Some Explicit Models / 6.1: |
Symmetrization and Entropy / 6.3: |
Drift-Diffusion Formulation / 6.4: |
Spherical Harmonics Expansion Equations / 7: |
Diffusion Approximation / 7.1: |
Diffusive Higher-Order Moment Equations / 8: |
Some Explicit Examples / 8.1: |
Hydrodynamic Equations / 8.3: |
Extended Hydrodynamic Equations / 9.1: |
Relaxation-Time Limits / 9.3: |
Microscopic Quantum Models / Part IV: |
Density-Matrix Formulation / 10: |
Transparent Boundary Conditions / 10.2: |
The Wigner Equation / 11: |
The Quantum Liouville Equation / 11.1: |
The Quantum Vlasov Equation / 11.2: |
Wigner-Boltzmann Equations / 11.3: |
Macroscopic Quantum Models / Part V: |
Quantum Drift-Diffusion Equations / 12: |
Quantum Maxwellians / 12.1: |
Derivation from the Wigner-Boltzmann Equation / 12.2: |
Quantum Fluid Entropy / 12.3: |
The Entropic Quantum Drift-Diffusion Model / 12.4: |
Quantum Diffusive Higher-Order Moment Equations / 13: |
The Quantum Energy-Transport Model / 13.1: |
Quantum Hydrodynamic Equations / 14: |
Zero-Temperature Quantum Hydrodynamic Equations / 14.1: |
Mixed-State Schrödinger Models and Quantum Hydrodynamics / 14.2: |
Wigner-Boltzmann Equations and Quantum Hydrodynamics / 14.3: |
Extended Quantum Hydrodynamic Equations / 14.4: |
Index |
Introduction / Part I: |
Basic Semiconductor Physics / 1: |
Semiconductor Crystals / 1.1: |