Quantum kinetic theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham ; Heidelberg ; New York ; Dordrecht ; London
Springer
[2016]
|
| Edition: | Second edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xviii, 406 Seiten Diagramme |
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Record in the Search Index
| _version_ | 1804175685653102592 |
|---|---|
| adam_text | Titel: Quantum kinetic theory
Autor: Bonitz, Michael
Jahr: 2016
Contents
1 Introduction......................................... 1
1.1 Correlated Many-Particle Systems..................... 2
1.2 Thermodynamic Properties of Correlated Systems.......... 9
1.3 Ultrafast Nonequilibrium Phenomena................... 12
1.3.1 Dynamics of Isolated Systems................ 13
1.3.2 Interaction of Matter with Short Laser Pulses...... 14
1.3.3 Overview of Relaxation Processes.............. 18
1.4 The Boltzmann Equation-Successes and Failure........... 20
1.4.1 An Elementary Introduction to the Boltzmann
Equation............................... 20
1.4.2 Unphysical Ultrafast Relaxation in Charged
Particle Systems.......................... 23
1.5 Improved Theoretical Concepts....................... 24
1.5.1 Outline of this Book....................... 26
1.6 Problems...................................... 27
2 The Method of Reduced Density Operators.................. 29
2.1 Density Operator. Von Neumann Equation............... 29
2.2 BBGKY-Hierarchy............................... 32
2.2.1 Reduced Density Operators. Equations
of Motion.............................. 32
2.2.2 Conservation Laws........................ 37
2.3 Basic Representations of the Hierarchy................. 41
2.3.1 Coordinate Representation................... 41
2.3.2 Wigner Representation...................... 43
2.3.3 Classical Limit and Quantum Corrections......... 45
2.3.4 Spatially Homogeneous Systems. Momentum
Representation........................... 46
xu Contents
2.4 Multi-component and Multi-band Systems............... 50
2.4.1 Bloch Representation of the Hierarchy........... 52
2.4.2 Remarks on General Properties
of the BBGKY-Hierarchy.................... 55
2.5 Correlations in Many-Particle Systems.................. 56
2.5.1 BBGKY-Hierarchy for Correlation Operators...... 56
2.5.2 Energy Conservation Condition in Terms
of Correlation Operators.................... 58
2.6 Decoupling of the BBGKY-Hierarchy.................. 59
2.6.1 Conelation Effects........................ 62
2.6.2 *Selfenergy Effects........................ 65
2.7 Relation to Equilibrium Correlation Functions............. 67
2.8 Problems...................................... 69
3 *Correlations Due to the Spin Statistics..................... 71
3.1 (Anti-)Symmetrization ofthe Density Operators........... 73
3.2 Exchange and Phase Space Filling Effects............... 74
3.3 (Anti-)Symmetrization of the First and Second
Hierarchy Equations............................... 77
3.4 (Anti-)Symmetrization of the Third Hierarchy Equation...... 78
3.4.1 (Anti-)Symmetrization of the Selfenergy Terms .... 79
3.4.2 Energy Conservation with Spin Statistics......... 80
3.5 Problems...................................... 82
4 Mean-Field Approximation. Quantum Vlasov Equation.
Collective Effects..................................... 83
4.1 Linearization of the Quantum Vlasov Equation. Dielectric
Function....................................... 85
4.2 Collective Plasma Excitations (Plasmons)................ 92
4.3 Plasma Instabilities............................... 95
4.4 Examples: Plasmons in Quantum Systems............... 98
4.4.1 One-Dimensional Quantum Plasmas............ 99
4.4.2 Plasmons in 2D and 3D Quantum Systems........ 106
4.5 *Quasilinear Theory for Classical and Quantum Systems..... 109
4.6 Numerical Solutions of the Nonlinear Quantum Vlasov
Equation....................................... 113
4.7 *Kinetic Equations for Carrier-Plasmon Interaction......... 114
4.8 Problem....................................... 117
5 Correlations and Their Dynamics......................... 119
5.1 Hierarchy of Relaxation Processes. Time Scale Separation .... 120
5.2 Correlation Buildup. Correlation Time Approximation....... 123
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
Contents
6.3 Markov Limit................................... 132
6.4 Non-Markovian Quantum Landau Equation
with Exchange Renormalization and Time-Dependent
Fields......................................... 134
6.5 Problems...................................... 139
Non-Markovian Kinetic Equations with Selfenergy............ 141
7.1 *Selfenergy in Density Operator Approach............... 142
7.2 Renormalized Binary Correlation Operator............... 146
7.3 Non-Markovian Quantum Landau Equation
with Selfenergy.................................. 148
7.3.1 Properties of the Landau Equation.
Memory Effects.......................... 149
7.3.2 Dynamics of Physical Observables. Energy
Conservation............................ 154
7.3.3 Markov Limit and Corrections. Retardation
Expansion.............................. 158
7.3.4 *Approximations for the Selfenergy............ 163
7.4 *Discussion of the Selfenergy Concept. Relation
to Green Functions Results.......................... 166
7.5 Problem....................................... 169
Properties of the Quantum Kinetic Equation................. 171
8.1 Markovian Dynamics of Macroscopic Observables......... 172
8.2 Irreversibility. H-Theorem. Equilibrium Solution
of the Markovian Kinetic Equation.................... 173
8.3 Equilibrium Correlations............................ 176
8.4 Non-Markovian Dynamics of Macroscopic Observables...... 177
8.5 Total Energy Conservation in Non-Markovian Kinetics...... 179
8.6 H-Theorem in Non-Markovian Kinetics................. 180
8.7 Problems...................................... 182
Strong Coupling Effects. Ladder (T-Matrix) Approximation...... 183
9.1 Generalized Binary Collision Approximation............. 184
9.2 *Selfenergy in Ladder (T-Matrix) Approximation.......... 185
9.3 Correlation Operator in Binary Collision Approximation..... 187
9.3.1 Propagators and Scattering Quantities........... 187
9.3.2 Moller Operators and T-Operators.............. 190
9.3.3 Correlation Operator in Binary Collision
Approximation........................... 192
9.3.4 *Gradient Expansion of gn and Physical
Observables............................. 195
9.3.5 *Recovery of the Generalized Kadanoff-Baym
Ansatz................................. 198
xvi Contents
13.10.3 Selfconsistent Solution ofthe KBE in RPA....... 331
13.10.4 Experimental Results. Outlook................ 331
13.11 Problems...................................... 333
14 Conclusion.......................................... 335
Appendix A: Used Mathematical Formulas..................... 337
Appendix B: Wigner Representation of the BBGKY-Hierarchy....... 341
Appendix C: Equations of Motion for Binary and Ternary
Correlations.................................. 345
Appendix D: Properties of the Free Propagators U° and IT0*........ 353
Appendix E: Retardation Expansion.......................... 357
Appendix F: Numerical Solution of Quantum Kinetic Equations...... 363
Appendix G: Solutions to Problems........................... 375
References............................................. 385
Index................................................. 401
|
| any_adam_object | 1 |
| author | Bonitz, Michael 1960- |
| author_GND | (DE-588)120375176 |
| author_facet | Bonitz, Michael 1960- |
| author_role | aut |
| author_sort | Bonitz, Michael 1960- |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV043194700 |
| classification_rvk | UL 2000 |
| classification_tum | PHY 058f |
| ctrlnum | (OCoLC)951680034 (DE-599)BVBBV043194700 |
| discipline | Physik |
| edition | Second edition |
| format | Book |
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| indexdate | 2024-07-10T07:20:13Z |
| institution | BVB |
| language | English |
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| publisher | Springer |
| record_format | marc |
| spelling | Bonitz, Michael 1960- Verfasser (DE-588)120375176 aut Quantum kinetic theory Michael Bonitz Second edition Cham ; Heidelberg ; New York ; Dordrecht ; London Springer [2016] © 2016 xviii, 406 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Molekulardynamik (DE-588)4170370-4 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Ausbreitungsfunktion (DE-588)4143498-5 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Dichtematrix (DE-588)4149624-3 gnd rswk-swf Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Quantenstatistik (DE-588)4047991-2 s Molekulardynamik (DE-588)4170370-4 s Nichtgleichgewicht (DE-588)4171730-2 s Dichtematrix (DE-588)4149624-3 s DE-604 Kinetische Theorie (DE-588)4030669-0 s Quantentheorie (DE-588)4047992-4 s 1\p DE-604 Ultrakurzzeitspektroskopie (DE-588)4209051-9 s 2\p DE-604 Ausbreitungsfunktion (DE-588)4143498-5 s 3\p DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-319-24121-0 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028618245&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bonitz, Michael 1960- Quantum kinetic theory Molekulardynamik (DE-588)4170370-4 gnd Vielteilchensystem (DE-588)4063491-7 gnd Ausbreitungsfunktion (DE-588)4143498-5 gnd Quantenstatistik (DE-588)4047991-2 gnd Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd Kinetische Theorie (DE-588)4030669-0 gnd Dichtematrix (DE-588)4149624-3 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4170370-4 (DE-588)4063491-7 (DE-588)4143498-5 (DE-588)4047991-2 (DE-588)4209051-9 (DE-588)4030669-0 (DE-588)4149624-3 (DE-588)4171730-2 (DE-588)4047992-4 |
| title | Quantum kinetic theory |
| title_auth | Quantum kinetic theory |
| title_exact_search | Quantum kinetic theory |
| title_full | Quantum kinetic theory Michael Bonitz |
| title_fullStr | Quantum kinetic theory Michael Bonitz |
| title_full_unstemmed | Quantum kinetic theory Michael Bonitz |
| title_short | Quantum kinetic theory |
| title_sort | quantum kinetic theory |
| topic | Molekulardynamik (DE-588)4170370-4 gnd Vielteilchensystem (DE-588)4063491-7 gnd Ausbreitungsfunktion (DE-588)4143498-5 gnd Quantenstatistik (DE-588)4047991-2 gnd Ultrakurzzeitspektroskopie (DE-588)4209051-9 gnd Kinetische Theorie (DE-588)4030669-0 gnd Dichtematrix (DE-588)4149624-3 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Molekulardynamik Vielteilchensystem Ausbreitungsfunktion Quantenstatistik Ultrakurzzeitspektroskopie Kinetische Theorie Dichtematrix Nichtgleichgewicht Quantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028618245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bonitzmichael quantumkinetictheory |