Transport equations for semiconductors

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Transport equations for semiconductors / A. Jüngel

資料種別:: 図書
出版情報:: Berlin : Springer, c2009
形態:: xvii, 315 p. ; 24 cm
シリーズ名:: Lecture notes in physics ; 773 <BA00010187>
著者名:: Jüngel, Ansgar
ISBN:: 9783540895251 [3540895256]
書誌ID:: BA89601172

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注記:

Includes bibliographical references and index

主題:

Electron transport; Semiconductors

言語:

英語

目次情報:

Introduction / Part I：

Basic Semiconductor Physics / 1：

Semiconductor Crystals / 1.1：

The SchrÃ¶dinger 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 SchrÃ¶dinger 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：

The SchrÃ¶dinger Equation / 1.2：

Electrons in a Periodic Potential / 1.3：

The Semi-Classical Picture / 1.4：

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