Quantum kinetic theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Stuttgart [u.a.]
Teubner
1998
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Schriftenreihe: | Teubner-Texte zur Physik
33 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 388 S. graph. Darst. |
ISBN: | 3519002388 |
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Datensatz im Suchindex
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adam_text | IMAGE 1
QUANTUM KINETIC THEORY
VON DR. MICHAEL BONITZ UNIVERSITAET ROSTOCK
B. G. TEUBNER STUTTGART * LEIPZIG 1998
IMAGE 2
CONTENTS
USED SYMBOLS AND DEFINITIONS 13
1 INTRODUCTION 15
1.1 CORRELATED MANY-PARTICLE SYSTEMS. MANY-BODY EFFECTS 16
1.2 EQUILIBRIUM PROPERTIES OF CORRELATED SYSTEMS 18
1.3 ULTRAFAST NONEQUILIBRIUM PHENOMENA 20
1.3.1 ELECTROMAGNETIC FIELD-MATTER INTERACTION 21
1.3.2 OVERVIEW OF RELAXATION PROCESSES 24
1.3.3 THEORETICAL CONCEPTS. OUTLINE OF THIS BOOK 26
2 THE METHOD OF REDUCED DENSITY OPERATORS 31
2.1 DENSITY OPERATOR. VON NEUMANN EQUATION 31
2.2 BBGKY-HIERARCHY 34
2.2.1 REDUCED DENSITY OPERATORS. EQUATIONS OF MOTION 34
2.2.2 CONSERVATION OF DENSITY AND TOTAL ENERGY 37
2.3 BASIC REPRESENTATIONS OF THE HIERARCHY 42
2.3.1 COORDINATE REPRESENTATION 42
2.3.2 WIGNER REPRESENTATION 44
2.3.3 SPATIALLY HOMOGENEOUS SYSTEMS. MOMENTUM REPRESENTATION 47
2.4 MULTI-COMPONENT AND MULTI-BAND SYSTEMS 51
2.4.1 BLOCH REPRESENTATION OF THE HIERARCHY 54
2.4.2 REMARKS ON GENERAL PROPERTIES OF THE BBGKY-HIERARCHY 57 2.5
CORRELATIONS IN MANY-PARTICLE SYSTEMS 58
2.5.1 BBGKY-HIERARCHY FOR CORRELATION OPERATORS 58
2.5.2 ENERGY CONSERVATION CONDITION IN TERMS OF CORRELATION OPERATORS 60
2.6 DECOUPLING OF THE BBGKY-HIERARCHY 62
2.6.1 CORRELATION EFFECTS 65
2.6.2 *SELFENERGY EFFECTS 68
IMAGE 3
10
CONTENTS
2.7 RELATION TO EQUILIBRIUM CORRELATION FUNCTIONS 71
3 ^CORRELATIONS DUE TO THE SPIN STATISTICS 73
3.1 (ANTI-)SYMMETRIZATION OF THE DENSITY OPERATORS 74
3.2 EXCHANGE AND PHASE SPACE FILLING EFFECTS 76
3.3 (ANTI-)SYMMETRIZATION OF THE FIRST AND SECOND HIERARCHY EQUATIONS 79
3.4 (ANTI-)SYMMETRIZATION OF THE THIRD HIERARCHY EQUATION 80
3.4.1 (ANTI-)SYMMETRIZATION OF THE SELFENERGY TERMS 81
3.4.2 ENERGY CONSERVATION WITH SPIN STATISTICS 82
4 MEAN-FIELD APPROXIMATION. QUANTUM VLASOV EQUATION. COL LECTIVE
EFFECTS 85
4.1 LINEARIZATION OF THE QUANTUM VLASOV EQUATION. DIELECTRIC FUNCTION 87
4.2 COLLECTIVE PLASMA EXCITATIONS (PLASMONS) 93
4.3 PLASMA INSTABILITIES 98
4.4 EXAMPLES: PLASMONS IN QUANTUM SYSTEMS 101
4.4.1 ONE-DIMENSIONAL QUANTUM PLASMAS 102
4.4.2 PLASMONS IN 2D AND 3D QUANTUM SYSTEMS 109
4.5 *QUASILINEAR THEORY FOR CLASSICAL AND QUANTUM SYSTEMS 112
4.6 NUMERICAL SOLUTIONS OF THE NONLINEAR QUANTUM VLASOV EQUATION 115
4.7 *KINETIC EQUATIONS FOR CARRIER-PLASMON INTERACTION 117
5 CORRELATIONS AND THEIR DYNAMICS 121
5.1 HIERARCHY OF RELAXATION PROCESSES. TIME SCALE SEPARATION . . . .122
5.2 CORRELATION BUILDUP. CORRELATION TIME APPROXIMATION 125
6 CORRELATION DYNAMICS AND NON-MARKOVIAN EFFECTS 127
6.1 SOLUTION FOR GU IN SECOND BORN APPROXIMATION 128
6.2 NON-MARKOVIAN QUANTUM LANDAU EQUATION 130
7 NON-MARKOVIAN KINETIC EQUATIONS WITH SELFENERGY. GENERAL IZED LANDAU
EQUATION 133
7.1 *SELFENERGY IN DENSITY OPERATOR APPROACH 133
7.2 RENORMALIZED BINARY CORRELATION OPERATOR 138
7.3 NON-MARKOVIAN QUANTUM LANDAU EQUATION WITH SELFENERGY . . . 140
7.3.1 PROPERTIES OF THE LANDAU EQUATION. MEMORY EFFECTS . . .141 7.3.2
DYNAMICS OF PHYSICAL OBSERVABLES. ENERGY CONSERVATION 146
IMAGE 4
CONTENTS
11
7.3.3 MARKOV LIMIT AND CORRECTIONS. RETARDATION EXPANSION . . 150 7.3.4
EQUILIBRIUM CORRELATIONS 156
7.3.5 *APPROXIMATIONS FOR THE SELFENERGY 157
7.4 *DISCUSSION OF THE SELFENERGY CONCEPT. RELATION TO GREEN S FUNCTIONS
RESULTS 160
8 STRONG COUPLING EFFECTS. LADDER (T-MATRIX) APPROXIMATION 165 8.1
GENERALIZED BINARY COLLISION APPROXIMATION 166
8.2 *SELFENERGY IN LADDER (T-MATRIX) APPROXIMATION 167
8.3 CORRELATION OPERATOR IN BINARY COLLISION APPROXIMATION 169
8.3.1 PROPAGATORS AND SCATTERING QUANTITIES 169
8.3.2 *GRADIENT EXPANSION OF 312 AND PHYSICAL OBSERVABLES . . . 177
8.3.3 *RECOVERY OF THE LIPAVSKY ANSATZ 181
8.4 COLLISION INTEGRAL WITH MEMORY EFFECTS 181
8.5 KINETIC EQUATION IN FIRST ORDER GRADIENT EXPANSION 185
8.6 NUMERICAL RESULTS AND DISCUSSION 190
9 *RANDOM PHASE APPROXIMATION 193
9.1 GENERALIZED POLARIZATION APPROXIMATION. SELFENERGY 193
9.2 DYNAMICAL SCREENING IN NONEQUILIBRIUM 198
9.3 NON-MARKOVIAN BALESCU-LENARD EQUATION 203
9.3.1 PROPERTIES OF THE NON-MARKOVIAN BALESCU-LENARD EQUA TION. MARKOV
LIMIT 205
9.3.2 CORRELATION ENERGY IN RPA 209
9.3.3 SHORT-TIME BEHAVIOR. SCREENING BUILDUP 210
10 *DYNAMICALLY SCREENED LADDER APPROXIMATION 213
10.1 GENERALIZED SCREENED LADDER APPROXIMATION. SELFENERGY 214
10.2 GOULD-DEWITT APPROXIMATION 217
11 CHARGED MANY-PARTICLE SYSTEMS IN ELECTROMAGNETIC FIELDS. GENERALIZED
BLOCH EQUATIONS 219
11.1 FIELD-MATTER INTERACTION 220
11.2 FIELD EFFECTS ON THE DISTRIBUTION AND THE PROPAGATORS 224
11.3 INTERACTION OF OPTICAL FIELDS WITH MULTIBAND SYSTEMS 233
11.4 BLOCH REPRESENTATION OF THE FIRST HIERARCHY EQUATION 236
11.5 * BLOCH REPRESENTATION OF THE SOLUTION G 2 (T) 244
11.6 ^CORRELATION OPERATOR, NON-MARKOVIAN COLLISION INTEGRAL AND
SELFENERGY IN AN ELECTROMAGNETIC FIELD 250
11.7 *NON-MARKOVIAN BLOCH EQUATIONS BEYOND THE STATIC BORN AP
PROXIMATION 253
IMAGE 5
12
CONTENTS
12 *GREEN S FUNCTIONS APPROACH TO FIELD-MATTER DYNAMICS 257 12.1 BASIC
CONCEPTS OF RELATIVISTIC QUANTUM ELECTRODYNAMICS 258
12.2 RELATIVISTIC KADANOFF-BAYM EQUATIONS FOR PARTICLES AND PHOTONS 267
12.3 NONRELATIVISTIC KADANOFF-BAYM EQUATIONS 274
12.4 PARTICLE KADANOFF-BAYM EQUATIONS. PROPERTIES AND APPROXIMA TIONS.
NUMERICAL RESULTS 280
12.5 INTERBAND KADANOFF-BAYM EQUATIONS. NUMERICAL RESULTS 287
12.6 KINETIC EQUATIONS FOR ONE-TIME FUNCTIONS. COMPARISON TO THE DENSITY
OPERATORS 293
12.7 OUTLOOK. ADVANCED CALCULATIONS 298
13 QUANTUM KINETICS VS. MOLECULAR DYNAMICS 301
13.1 CLASSICAL MOLECULAR DYNAMICS 301
13.2 *QUANTUM MOLECULAR DYNAMICS 304
13.3 COMPARISON OF THE CONCEPTS OF MOLECULAR DYNAMICS AND QUAN TUM
KINETIC THEORY 309
13.4 NUMERICAL COMPARISONS OF MOLECULAR DYNAMICS AND QUANTUM KINETICS
312
13.5 DISCUSSION AND OUTLOOK 315
14 CONCLUSION 317
APPENDICES
A USED MATHEMATICAL FORMULAS 319
* WIGNER REPRESENTATION OF THE BBGKY-HIERARCHY 323
* EQUATIONS OF MOTION FOR BINARY AND TERNARY CORRELATIONS 327
D PROPERTIES OF THE FREE PROPAGATORS U AND U 0 333
E RETARDATION EXPANSION 337
F NUMERICAL SOLUTION OF QUANTUM KINETIC EQUATIONS 343
BIBLIOGRAPHY 355
INDEX 381
|
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author | Bonitz, Michael 1960- |
author_GND | (DE-588)120375176 |
author_facet | Bonitz, Michael 1960- |
author_role | aut |
author_sort | Bonitz, Michael 1960- |
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callnumber-raw | QC174.17.P7 |
callnumber-search | QC174.17.P7 |
callnumber-sort | QC 3174.17 P7 |
callnumber-subject | QC - Physics |
classification_rvk | UL 2000 |
classification_tum | PHY 058f |
ctrlnum | (OCoLC)40963654 (DE-599)BVBBV012120440 |
discipline | Physik |
format | Book |
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id | DE-604.BV012120440 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:22:02Z |
institution | BVB |
isbn | 3519002388 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008208130 |
oclc_num | 40963654 |
open_access_boolean | |
owner | DE-703 DE-355 DE-BY-UBR DE-20 DE-91G DE-BY-TUM DE-29T DE-473 DE-BY-UBG DE-384 DE-634 DE-11 DE-188 |
owner_facet | DE-703 DE-355 DE-BY-UBR DE-20 DE-91G DE-BY-TUM DE-29T DE-473 DE-BY-UBG DE-384 DE-634 DE-11 DE-188 |
physical | 388 S. graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Teubner |
record_format | marc |
series | Teubner-Texte zur Physik |
series2 | Teubner-Texte zur Physik |
spelling | Bonitz, Michael 1960- Verfasser (DE-588)120375176 aut Quantum kinetic theory von Michael Bonitz Stuttgart [u.a.] Teubner 1998 388 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Physik 33 Many-body problem Numerical solutions Nonequilibrium plasmas Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Ausbreitungsfunktion (DE-588)4143498-5 gnd rswk-swf Molekulardynamik (DE-588)4170370-4 gnd rswk-swf Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Dichtematrix (DE-588)4149624-3 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Nichtgleichgewicht (DE-588)4171730-2 s Ausbreitungsfunktion (DE-588)4143498-5 s DE-604 Kinetische Theorie (DE-588)4030669-0 s Quantentheorie (DE-588)4047992-4 s Ultrakurzzeitspektroskopie (DE-588)4209051-9 s Quantenstatistik (DE-588)4047991-2 s Molekulardynamik (DE-588)4170370-4 s Dichtematrix (DE-588)4149624-3 s 1\p DE-604 Teubner-Texte zur Physik 33 (DE-604)BV000019271 33 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008208130&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bonitz, Michael 1960- Quantum kinetic theory Teubner-Texte zur Physik Many-body problem Numerical solutions Nonequilibrium plasmas Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd Kinetische Theorie (DE-588)4030669-0 gnd Quantenstatistik (DE-588)4047991-2 gnd Vielteilchensystem (DE-588)4063491-7 gnd Ausbreitungsfunktion (DE-588)4143498-5 gnd Molekulardynamik (DE-588)4170370-4 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Dichtematrix (DE-588)4149624-3 gnd Quantentheorie (DE-588)4047992-4 gnd |
subject_GND | (DE-588)4209051-9 (DE-588)4030669-0 (DE-588)4047991-2 (DE-588)4063491-7 (DE-588)4143498-5 (DE-588)4170370-4 (DE-588)4171730-2 (DE-588)4149624-3 (DE-588)4047992-4 |
title | Quantum kinetic theory |
title_auth | Quantum kinetic theory |
title_exact_search | Quantum kinetic theory |
title_full | Quantum kinetic theory von Michael Bonitz |
title_fullStr | Quantum kinetic theory von Michael Bonitz |
title_full_unstemmed | Quantum kinetic theory von Michael Bonitz |
title_short | Quantum kinetic theory |
title_sort | quantum kinetic theory |
topic | Many-body problem Numerical solutions Nonequilibrium plasmas Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd Kinetische Theorie (DE-588)4030669-0 gnd Quantenstatistik (DE-588)4047991-2 gnd Vielteilchensystem (DE-588)4063491-7 gnd Ausbreitungsfunktion (DE-588)4143498-5 gnd Molekulardynamik (DE-588)4170370-4 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Dichtematrix (DE-588)4149624-3 gnd Quantentheorie (DE-588)4047992-4 gnd |
topic_facet | Many-body problem Numerical solutions Nonequilibrium plasmas Ultrakurzzeitspektroskopie Kinetische Theorie Quantenstatistik Vielteilchensystem Ausbreitungsfunktion Molekulardynamik Nichtgleichgewicht Dichtematrix Quantentheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008208130&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000019271 |
work_keys_str_mv | AT bonitzmichael quantumkinetictheory |