Holdings: Semiconductor equations

Semiconductor equations:

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Bibliographic Details
Main Authors:	Markowich, Peter A. 1956- (Author), Ringhofer, Christian A. (Author), Schmeiser, Christian 1958- (Author)
Format:	Book
Language:	English
Published:	Wien [u.a.] Springer 1990
Subjects:	Semiconducteurs - Modèles mathématiques Mathematisches Modell Semiconductors > Mathematical models Ladungstransport Halbleiter Transportgleichung
Online Access:	Inhaltsverzeichnis
Physical Description:	X, 248 S. graph. Darst.
ISBN:	3211821570 0387821570

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MARC


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adam_text	SEMICONDUCTOR EQUATIONS P. A. MARKOWICH C. A. RINGHOFER C. SCHMEISER SPRINGER- VERLAG WIEN NEW YORK CONTENTS INTRODUCTION 1 KINETIC TRANSPORT MODELS FOR SEMICONDUCTORS 3 1.1 INTRODUCTION 3 1.2 THE (SEMI-)CLASSICAL LIOUVILLE EQUATION 4 PARTICLE TRAJECTORIES 5 A POTENTIAL BARRIER 5 THE TRANSPORT EQUATION 8 PARTICLE ENSEMBLES 8 THE INITIAL VALUE PROBLEM 9 THE CLASSICAL HAMILTONIAN 11 THE SEMI-CLASSICAL LIOUVILLE EQUATION 12 MAGNETIC FIELDS 16 1.3 THE BOLTZMANN EQUATION 16 THE VLASOV EQUATION 17 THE POISSON EQUATION 21 THE WHOLE SPACE VLASOV PROBLEM 23 BOUNDED POSITION DOMAINS 24 THE SEMI-CLASSICAL VLASOV EQUATION 25 MAGETIC FIELDSTHE MAXWELL EQUATIONS 26 COLLISIONSTHE BOLTZMANN EQUATION 28 THE SEMI-CLASSICAL BOLTZMANN EQUATION 30 CONSERVATION AND RELAXATION 32 LOW DENSITY APPROXIMATION 33 THE RELAXATION TIME APPROXIMATION 34 POLAR OPTICAL SCATTERING 35 PARTICLE-PARTICLE INTERACTION 36 1.4 THE QUANTUM LIOUVILLE EQUATION 36 THE SCHROEDINGER EQUATION 37 TUNNELING 38 PARTICLE ENSEMBLES AND DENSITY MATRICES 40 WIGNER FUNCTIONS 41 VLLL THE QUANTUM TRANSPORT EQUATION 42 PURE AND MIXED STATES 44 THE CLASSICAL LIMIT 48 NONNEGATIVITY OF WIGNER FUNCTIONS 50 AN ENERGY-BAND VERSION OF THE QUANTUM LIOUVILLE EQUATION 1.5 THE QUANTUM BOLTZMANN EQUATION 57 SUBENSEMBLE DENSITY MATRICES 58 THE QUANTUM VLASOV EQUATION 60 THE POISSON EQUATION 63 THE QUANTUM VLASOV EQUATION ON A BOUNDED POSITION DOMAIN 65 THE ENERGY-BAND VERSION OF THE QUANTUM VLASOV EQUATION COLLISIONS 67 1.6 APPLICATIONS AND EXTENSIONS 68 MULTI-VALLEY MODELS 69 BIPOLAR MODEL 71 TUNNELING DEVICES 75 PROBLEMS 77 REFERENCES 80 2 FROM KINETIC TO FLUID DYNAMICAL MODELS 83 2.1 INTRODUCTION 83 2.2 SMALL MEAN FREE PATHTHE HUBERT EXPANSION 85 2.3 MOMENT METHODSTHE HYDRODYNAMIC MODEL 90 DERIVATION OF THE DRIFT DIFFUSION MODEL 91 THE HYDRODYNAMIC MODEL 92 2.4 HEAVY DOPING EFFECTSFERMI-DIRAC DISTRIBUTIONS 94 2.5 HIGH FIELD EFFECTSMOBILITY MODELS 95 2.6 RECOMBINATION-GENERATION MODELS 98 PROBLEMS 101 REFERENCES 102 3 THE DRIFT DIFFUSION EQUATIONS 104 3.1 INTRODUCTION 104 3.2 THE STATIONARY DRIFT DIFFUSION EQUATIONS 108 3.3 EXISTENCE AND UNIQUENESS FOR THE STATIONARY DRIFT DIFFUSION EQUATIONS 110 3.4 FORWARD BIASED P-N JUNCTIONS 116 THE EQUILIBRIUM CASE 118 THE NON-EQUILIBRIUM CASE 125 ASYMPTOTIC VALIDITY IN THE ONE-DIMENSIONAL CASE 129 VELOCITY SATURATION EFFECTSFIELD DEPENDENT MOBILITIES 130 3.5 REVERSE BIASED P-N JUNCTIONS 133 MODERATELY REVERSE BIASED P-N JUNCTIONS 134 CONTENTS P-N JUNCTIONS UNDER EXTREME REVERSE BIAS CONDITIONS 134 THE ONE-DIMENSIONAL PROBLEM 135 THE TWO-DIMENSIONAL CASE 141 3.6 STABILITY AND CONDITIONING FOR THE STATIONARY PROBLEM 143 3.7 THE TRANSIENT PROBLEM 148 3.8 THE LINEARIZATION OF THE TRANSIENT PROBLEM 149 3.9 EXISTENCE FOR THE NONLINEAR PROBLEM 153 ASYMPTOTIC EXPANSIONS FOR THE TRANSIENT DRIFT DIFFUSION EQUATIONS 156 3.10 ASYMPTOTIC EXPANSIONS ON THE DIFFUSION TIME SCALE 157 3.11 FAST TIME SCALE EXPANSIONS 162 THE CASE OF A BOUNDED INITIAL POTENTIAL 163 FAST TIME SCALE SOLUTIONS FOR GENERAL INITIAL DATA 165 PROBLEMS 171 REFERENCES 172 4 DEVICES 175 4.1 INTRODUCTION 175 STATIC VOLTAGE-CURRENT CHARACTERISTICS 176 4.2 P-N DIODE 180 THE DEPLETION REGION IN THERMAL EQUILIBRIUM 181 STRONGLY ASYMMETRIE JUNCTIONS 185 THE VOLTAGE-CURRENT CHARACTERISTIC CLOSE TO THERMAL EQUILIBRIUM 188 HIGH INJECTIONA MODEL PROBLEM 191 LARGE REVERSE BIAS 192 AVALANCHE BREAKDOWN 195 PUNCH THROUGH 197 4.3 BIPOLAR TRANSISTOR 198 CURRENT GAIN CLOSE TO THERMAL EQUILIBRIUM 199 4.4 PIN-DIODE 202 THERMAL EQUILIBRIUM 203 BEHAVIOUR CLOSE TO THERMAL EQUILIBRIUM 206 4.5 THYRISTOR 208 CHARACTERISTIC CLOSE TO THERMAL EQUILIBRIUM 210 FORWARD CONDUCTION 212 BREAK OVER VOLTAGE 215 4.6 MIS DIODE 218 ACCUMULATION 221 DEPLETION*WEAK INVERSION 222 STRONG INVERSION 223 4.7 MOSFET 225 DERIVATION OF A SIMPLIFIED MODEL 228 A QUASI ONE-DIMENSIONAL MODEL 230 COMPUTATION OF THE ONE-DIMENSIONAL ELECTRON DENSITY 231 COMPUTATION OF THE CURRENT 233 4.8 GUNN DIODE 235 BULK NEGATIVE DIFFERENTIAL CONDUCTIVITY 237 TRAVELING WAVES 238 THE GUNN EFFECT 240 PROBLEMS 242 REFERENCES 243 APPENDIX 245 PHYSICAL CONSTANTS 245 PROPERTIES OF SI AT ROOM TEMPERATURE 245 SUBJECT INDEX 246
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author	Markowich, Peter A. 1956- Ringhofer, Christian A. Schmeiser, Christian 1958-
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author_facet	Markowich, Peter A. 1956- Ringhofer, Christian A. Schmeiser, Christian 1958-
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discipline	Physik Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik
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isbn	3211821570 0387821570
language	English
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spelling	Markowich, Peter A. 1956- Verfasser (DE-588)136248330 aut Semiconductor equations P. A. Markowich ; C. A. Ringhofer ; C. Schmeiser Wien [u.a.] Springer 1990 X, 248 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Semiconducteurs - Modèles mathématiques Mathematisches Modell Semiconductors Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Ladungstransport (DE-588)4166400-0 gnd rswk-swf Halbleiter (DE-588)4022993-2 gnd rswk-swf Transportgleichung (DE-588)4185928-5 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Transportgleichung (DE-588)4185928-5 s DE-604 Ladungstransport (DE-588)4166400-0 s Mathematisches Modell (DE-588)4114528-8 s Ringhofer, Christian A. Verfasser aut Schmeiser, Christian 1958- Verfasser (DE-588)133752038 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593822&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Markowich, Peter A. 1956- Ringhofer, Christian A. Schmeiser, Christian 1958- Semiconductor equations Semiconducteurs - Modèles mathématiques Mathematisches Modell Semiconductors Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ladungstransport (DE-588)4166400-0 gnd Halbleiter (DE-588)4022993-2 gnd Transportgleichung (DE-588)4185928-5 gnd
subject_GND	(DE-588)4114528-8 (DE-588)4166400-0 (DE-588)4022993-2 (DE-588)4185928-5
title	Semiconductor equations
title_auth	Semiconductor equations
title_exact_search	Semiconductor equations
title_full	Semiconductor equations P. A. Markowich ; C. A. Ringhofer ; C. Schmeiser
title_fullStr	Semiconductor equations P. A. Markowich ; C. A. Ringhofer ; C. Schmeiser
title_full_unstemmed	Semiconductor equations P. A. Markowich ; C. A. Ringhofer ; C. Schmeiser
title_short	Semiconductor equations
title_sort	semiconductor equations
topic	Semiconducteurs - Modèles mathématiques Mathematisches Modell Semiconductors Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Ladungstransport (DE-588)4166400-0 gnd Halbleiter (DE-588)4022993-2 gnd Transportgleichung (DE-588)4185928-5 gnd
topic_facet	Semiconducteurs - Modèles mathématiques Mathematisches Modell Semiconductors Mathematical models Ladungstransport Halbleiter Transportgleichung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002593822&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT markowichpetera semiconductorequations AT ringhoferchristiana semiconductorequations AT schmeiserchristian semiconductorequations

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