Author | Markowich, Peter A. author |
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Title | Semiconductor Equations [electronic resource] / by Peter A. Markowich, Christian A. Ringhofer, Christian Schmeiser |
Imprint | Vienna : Springer Vienna, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-7091-6961-2 |
Descript | X, 248 p. online resource |
1 Kinetic Transport Models for Semiconductors -- 1.1 Introduction -- 1.2 The (Semi-)Classical Liouville Equation -- 1.3 The Boltzmann Equation -- 1.4 The Quantum Liouville Equation -- 1.5 The Quantum Boltzmann Equation -- 1.6 Applications and Extensions -- Problems -- References -- 2 From Kinetic to Fluid Dynamical Models -- 2.1 Introduction -- 2.2 Small Mean Free PathโThe Hilbert Expansion -- 2.3 Moment MethodsโThe Hydrodynamic Model -- 2.4 Heavy Doping EffectsโFermi-Dirac Distributions -- 2.5 High Field EffectsโMobility Models -- 2.6 Recombination-Generation Models -- Problems -- References -- 3 The Drift Diffusion Equations -- 3.1 Introduction -- 3.2 The Stationary Drift Diffusion Equations -- 3.3 Existence and Uniqueness for the Stationary Drift Diffusion Equations -- 3.4 Forward Biased P-N Junctions -- 3.5 Reverse Biased P-N Junctions -- 3.6 Stability and Conditioning for the Stationary Problem -- 3.7 The Transient Problem -- 3.8 The Linearization of the Transient Problem -- 3.9 Existence for the Nonlinear Problem -- 3.10 Asymptotic Expansions on the Diffusion Time Scale -- 3.11 Fast Time Scale Expansions -- Problems -- References -- 4 Devices -- 4.1 Introduction -- 4.2 P-N Diode -- 4.3 Bipolar Transistor -- 4.4 PIN-Diode -- 4.5 Thyristor -- 4.6 MIS Diode -- 4.7 MOSFET -- 4.8 Gunn Diode -- Problems -- References -- Physical Constants -- Properties of Si at Room Temperature