Diagrammatics: lectures on selected problems in condensed matter theory
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore [u.a.]
World Scientific
2006
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 346 S. graph. Darst. |
ISBN: | 9812566392 9789812566393 |
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Datensatz im Suchindex
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adam_text | LECTURES ON SELECTED PROBLEMS IN CONDENSED MATTER THEORY MICHAEL V.
SADOVSKII RUSSIAN ACADEMY OF SCIENCES, RUSSIA * WORLD SCIENTIFIC NEW
JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI * HONGKONG * TAIPEI *
CHENNAI CONTENTS PREFACE VII 1. INTRODUCTION 1 1.1 QUASIPARTICLES AND
GREEN S FUNCTIONS 3 1.2 DIAGRAM TECHNIQUE. DYSON EQUATION 11 1.3 GREEN S
FUNCTIONS AT FINITE TEMPERATURES 13 2. ELECTRON-ELECTRON INTERACTION 17
2.1 DIAGRAM RULES 17 2.2 ELECTRON GAS WITH COULOMB INTERACTION 18 2.3
POLARIZATION OPERATOR OF FREE ELECTRON GAS AT T = 0 22 2.4 DIELECTRIC
FUNCTION OF AN ELECTRON GAS 24 2.5 ELECTRON SELF-ENERGY, EFFECTIVE MASS
AND DAMPING OF QUASIPARTICLES 28 2.6 RKKY-OSCILLATIONS 32 2.7 LINEAR
RESPONSE 35 2.8 MICROSCOPIC FOUNDATIONS OF LANDAU-SILIN THEORY OF
FERMI-LIQUIDS 44 2.9 INTERACTION OF QUASIPARTICLES IN FERMI-LIQUID 50
2.10 NON-FERMI-LIQUID BEHAVIOR 67 3. ELECTRON-PHONON INTERACTION 71 3.1
DIAGRAM RULES 71 3.2 ELECTRON SELF-ENERGY / 75 3.3 MIGDAL THEOREM 84 3.4
SELF-ENERGY AND SPECTRUM OF PHONONS 87 X CONTENTS 3.5 PLASMA MODEL 92
3.6 PHONONS AND FLUCTUATIONS 97 4. ELECTRONS IN DISORDERED SYSTEMS 101
4.1 DIAGRAM TECHNIQUE FOR IMPURITY SCATTERING 101 4.2 SINGLE-ELECTRON
GREEN S FUNCTION 105 4.3 KELDYSH MODEL 114 4.4 CONDUCTIVITY AND
TWO-PARTICLE GREEN S FUNCTION 121 4.5 BETHE-SALPETER EQUATION,
DIFFUSON AND COOPERON . . . . 130 4.6 QUANTUM CORRECTIONS,
SELF-CONSISTENT THEORY OF LOCALIZATION AND ANDERSON TRANSITION 140 4.6.1
QUANTUM CORRECTIONS TO CONDUCTIVITY 140 4.6.1.1 TECHNICAL DETAILS 142
4.6.1.2 POOR MAN INTERPRETATION OF QUANTUM CORRECTIONS 149 4.6.2
SELF-CONSISTENT THEORY OF LOCALIZATION 152 4.6.2.1 METALLIC PHASE 155
4.6.2.2 ANDERSON INSULATOR 157 4.6.2.3 FREQUENCY DISPERSION OF THE
GENERALIZED DIFFUSION COEFFICIENT 161 4.7 TRIANGULAR VERTEX 162 4.8
THE ROLE OF ELECTRON-ELECTRON INTERACTION 165 5. SUPERCONDUCTIVITY 177
5.1 COOPER INSTABILITY 177 5.2 GORKOV EQUATIONS 185 5.3
SUPERCONDUCTIVITY IN DISORDERED METALS 201 5.4 GINZBURG-LANDAU EXPANSION
208 5.5 SUPERCONDUCTORS IN ELECTROMAGNETIC FIELD 223 6. ELECTRONIC
INSTABILITIES AND PHASE TRANSITIONS 241 6.1 PHONON SPECTRUM INSTABILITY
241 6.2 PEIERLS DIELECTRIC 253 6.3 PEIERLS DIELECTRIC WITH IMPURITIES
260 6.4 GINZBURG-LANDAU EXPANSION FOR PEIERLS TRANSITION 267 6.5 CHARGE
AND SPIN DENSITY WAVES IN MULTI-DIMENSIONAL SYSTEMS. EXCITONIC INSULATOR
270 6.6 PSEUDOGAP 279 CONTENTS XI 6.6.1 FLUCTUATIONS OF PEIERLS
SHORT-RANGE ORDER 279 6.6.2 ELECTRON IN A RANDOM FIELD OF FLUCTUATIONS
285 6.6.3 ELECTROMAGNETIC RESPONSE 298 6.7 TOMONAGA-LUTTINGER MODEL AND
NON FERMI-LIQUID BEHAVIOR 321 APPENDIX A FERMI SURFACE AS TOPOLOGICAL
OBJECT 333 APPENDIX B ELECTRON IN A RANDOM FIELD AND FEYNMAN PATH
INTEGRALS 339 BIBLIOGRAPHY 345
|
adam_txt |
LECTURES ON SELECTED PROBLEMS IN CONDENSED MATTER THEORY MICHAEL V.
SADOVSKII RUSSIAN ACADEMY OF SCIENCES, RUSSIA * WORLD SCIENTIFIC NEW
JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI * HONGKONG * TAIPEI *
CHENNAI CONTENTS PREFACE VII 1. INTRODUCTION 1 1.1 QUASIPARTICLES AND
GREEN'S FUNCTIONS 3 1.2 DIAGRAM TECHNIQUE. DYSON EQUATION 11 1.3 GREEN'S
FUNCTIONS AT FINITE TEMPERATURES 13 2. ELECTRON-ELECTRON INTERACTION 17
2.1 DIAGRAM RULES 17 2.2 ELECTRON GAS WITH COULOMB INTERACTION 18 2.3
POLARIZATION OPERATOR OF FREE ELECTRON GAS AT T = 0 22 2.4 DIELECTRIC
FUNCTION OF AN ELECTRON GAS 24 2.5 ELECTRON SELF-ENERGY, EFFECTIVE MASS
AND DAMPING OF QUASIPARTICLES 28 2.6 RKKY-OSCILLATIONS 32 2.7 LINEAR
RESPONSE 35 2.8 MICROSCOPIC FOUNDATIONS OF LANDAU-SILIN THEORY OF
FERMI-LIQUIDS 44 2.9 INTERACTION OF QUASIPARTICLES IN FERMI-LIQUID 50
2.10 NON-FERMI-LIQUID BEHAVIOR 67 3. ELECTRON-PHONON INTERACTION 71 3.1
DIAGRAM RULES 71 3.2 ELECTRON SELF-ENERGY / 75 3.3 MIGDAL THEOREM 84 3.4
SELF-ENERGY AND SPECTRUM OF PHONONS 87 X CONTENTS 3.5 PLASMA MODEL 92
3.6 PHONONS AND FLUCTUATIONS 97 4. ELECTRONS IN DISORDERED SYSTEMS 101
4.1 DIAGRAM TECHNIQUE FOR "IMPURITY" SCATTERING 101 4.2 SINGLE-ELECTRON
GREEN'S FUNCTION 105 4.3 KELDYSH MODEL 114 4.4 CONDUCTIVITY AND
TWO-PARTICLE GREEN'S FUNCTION 121 4.5 BETHE-SALPETER EQUATION,
"DIFFUSON" AND "COOPERON" . . . . 130 4.6 QUANTUM CORRECTIONS,
SELF-CONSISTENT THEORY OF LOCALIZATION AND ANDERSON TRANSITION 140 4.6.1
QUANTUM CORRECTIONS TO CONDUCTIVITY 140 4.6.1.1 TECHNICAL DETAILS 142
4.6.1.2 "POOR MAN" INTERPRETATION OF QUANTUM CORRECTIONS 149 4.6.2
SELF-CONSISTENT THEORY OF LOCALIZATION 152 4.6.2.1 METALLIC PHASE 155
4.6.2.2 ANDERSON INSULATOR 157 4.6.2.3 FREQUENCY DISPERSION OF THE
GENERALIZED DIFFUSION COEFFICIENT 161 4.7 "TRIANGULAR" VERTEX 162 4.8
THE ROLE OF ELECTRON-ELECTRON INTERACTION 165 5. SUPERCONDUCTIVITY 177
5.1 COOPER INSTABILITY 177 5.2 GORKOV EQUATIONS 185 5.3
SUPERCONDUCTIVITY IN DISORDERED METALS 201 5.4 GINZBURG-LANDAU EXPANSION
208 5.5 SUPERCONDUCTORS IN ELECTROMAGNETIC FIELD 223 6. ELECTRONIC
INSTABILITIES AND PHASE TRANSITIONS 241 6.1 PHONON SPECTRUM INSTABILITY
241 6.2 PEIERLS DIELECTRIC 253 6.3 PEIERLS DIELECTRIC WITH IMPURITIES
260 6.4 GINZBURG-LANDAU EXPANSION FOR PEIERLS TRANSITION 267 6.5 CHARGE
AND SPIN DENSITY WAVES IN MULTI-DIMENSIONAL SYSTEMS. EXCITONIC INSULATOR
270 6.6 PSEUDOGAP 279 CONTENTS XI 6.6.1 FLUCTUATIONS OF PEIERLS
SHORT-RANGE ORDER 279 6.6.2 ELECTRON IN A RANDOM FIELD OF FLUCTUATIONS
285 6.6.3 ELECTROMAGNETIC RESPONSE 298 6.7 TOMONAGA-LUTTINGER MODEL AND
NON FERMI-LIQUID BEHAVIOR 321 APPENDIX A FERMI SURFACE AS TOPOLOGICAL
OBJECT 333 APPENDIX B ELECTRON IN A RANDOM FIELD AND FEYNMAN PATH
INTEGRALS 339 BIBLIOGRAPHY 345 |
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author | Sadovskii, Michail V. 1948- |
author_GND | (DE-588)1027151760 |
author_facet | Sadovskii, Michail V. 1948- |
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author_sort | Sadovskii, Michail V. 1948- |
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building | Verbundindex |
bvnumber | BV021637779 |
classification_rvk | UP 1000 UP 1300 |
ctrlnum | (OCoLC)634224008 (DE-599)BVBBV021637779 |
discipline | Physik |
discipline_str_mv | Physik |
format | Book |
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institution | BVB |
isbn | 9812566392 9789812566393 |
language | English |
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physical | XI, 346 S. graph. Darst. |
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spelling | Sadovskii, Michail V. 1948- Verfasser (DE-588)1027151760 aut Diagrammatics lectures on selected problems in condensed matter theory Michael V. Sadovskii Singapore [u.a.] World Scientific 2006 XI, 346 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Feynman-Graph (DE-588)4154291-5 gnd rswk-swf Festkörpertheorie (DE-588)4154189-3 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Festkörperphysik (DE-588)4016921-2 s DE-604 Feynman-Graph (DE-588)4154291-5 s Festkörpertheorie (DE-588)4154189-3 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014852610&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sadovskii, Michail V. 1948- Diagrammatics lectures on selected problems in condensed matter theory Feynman-Graph (DE-588)4154291-5 gnd Festkörpertheorie (DE-588)4154189-3 gnd Festkörperphysik (DE-588)4016921-2 gnd |
subject_GND | (DE-588)4154291-5 (DE-588)4154189-3 (DE-588)4016921-2 (DE-588)4143413-4 |
title | Diagrammatics lectures on selected problems in condensed matter theory |
title_auth | Diagrammatics lectures on selected problems in condensed matter theory |
title_exact_search | Diagrammatics lectures on selected problems in condensed matter theory |
title_exact_search_txtP | Diagrammatics lectures on selected problems in condensed matter theory |
title_full | Diagrammatics lectures on selected problems in condensed matter theory Michael V. Sadovskii |
title_fullStr | Diagrammatics lectures on selected problems in condensed matter theory Michael V. Sadovskii |
title_full_unstemmed | Diagrammatics lectures on selected problems in condensed matter theory Michael V. Sadovskii |
title_short | Diagrammatics |
title_sort | diagrammatics lectures on selected problems in condensed matter theory |
title_sub | lectures on selected problems in condensed matter theory |
topic | Feynman-Graph (DE-588)4154291-5 gnd Festkörpertheorie (DE-588)4154189-3 gnd Festkörperphysik (DE-588)4016921-2 gnd |
topic_facet | Feynman-Graph Festkörpertheorie Festkörperphysik Aufsatzsammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014852610&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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