Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Abbreviations and Acronyms
- Fundamental Constants and Basic Relations
- 1 Second Quantization
- 2 Getting Familiar with Second Quantization: Model Hamiltonians
- 3 Time-Dependent Problems and Equations of Motion
- 4 The Contour Idea
- 5 Nonequilibrium Green’s Functions
- 6 One-Particle Green’s Function: Exact Results
- 7 One-Particle Green’s Function: Diagrammatic Expansion
- 8 Hartree–Fock Approximation
- 9 Kadanoff–Baym Equations
- 10 Self-Energy and Screened Interaction: Exact Results
- 11 Grand Potential: Diagrammatic Expansion and Variational Forms
- 12 Conserving Approximations
- 13 Linear Response Theory
- 14 Two-Particle Green’s Function: Diagrammatic Expansion
- 15 Electron Gas: Equilibrium and Nonequilibrium Correlation Effects
- 16 Green’s Functions for Nonequilibrium Fermion–Boson Systems
- 17 From Green’s Functions to Simplified Many-Body Approaches
- Appendix A: From the N Roots of 1 to the Dirac δ-Function
- Appendix B: Graphical Approach to Permanents and Determinants
- Appendix C: Green’s Functions and Lattice Symmetry
- Appendix D: Thermodynamics and Quantum Statistical Mechanics
- Appendix E: Density Matrices and Pair Correlation Function
- Appendix F: Asymptotic Expansions
- Appendix G: BBGKY Hierarchy
- Appendix H: From δ-like Peaks to Continuous Spectral Functions
- Appendix I: Fermi Golden Rule and Shortcomings of Linear Response Theory
- Appendix J: How to Solve the Kadanoff–Baym Equations in Practice
- Appendix K: Time-Dependent Landauer–Büttiker Formula
- Appendix L: Virial Theorem for Conserving Approximations
- Appendix M: Lippmann–Schwinger Equation and Cross Section
- Appendix N: Hedin Equations from a Generating Functional
- Appendix O: Why the Name Random Phase Approximation?
- Appendix P: Kramers–Kronig Relations
- References
- Index
Appendix C: - Green’s Functions and Lattice Symmetry
Published online by Cambridge University Press: 02 January 2025
Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- Abbreviations and Acronyms
- Fundamental Constants and Basic Relations
- 1 Second Quantization
- 2 Getting Familiar with Second Quantization: Model Hamiltonians
- 3 Time-Dependent Problems and Equations of Motion
- 4 The Contour Idea
- 5 Nonequilibrium Green’s Functions
- 6 One-Particle Green’s Function: Exact Results
- 7 One-Particle Green’s Function: Diagrammatic Expansion
- 8 Hartree–Fock Approximation
- 9 Kadanoff–Baym Equations
- 10 Self-Energy and Screened Interaction: Exact Results
- 11 Grand Potential: Diagrammatic Expansion and Variational Forms
- 12 Conserving Approximations
- 13 Linear Response Theory
- 14 Two-Particle Green’s Function: Diagrammatic Expansion
- 15 Electron Gas: Equilibrium and Nonequilibrium Correlation Effects
- 16 Green’s Functions for Nonequilibrium Fermion–Boson Systems
- 17 From Green’s Functions to Simplified Many-Body Approaches
- Appendix A: From the N Roots of 1 to the Dirac δ-Function
- Appendix B: Graphical Approach to Permanents and Determinants
- Appendix C: Green’s Functions and Lattice Symmetry
- Appendix D: Thermodynamics and Quantum Statistical Mechanics
- Appendix E: Density Matrices and Pair Correlation Function
- Appendix F: Asymptotic Expansions
- Appendix G: BBGKY Hierarchy
- Appendix H: From δ-like Peaks to Continuous Spectral Functions
- Appendix I: Fermi Golden Rule and Shortcomings of Linear Response Theory
- Appendix J: How to Solve the Kadanoff–Baym Equations in Practice
- Appendix K: Time-Dependent Landauer–Büttiker Formula
- Appendix L: Virial Theorem for Conserving Approximations
- Appendix M: Lippmann–Schwinger Equation and Cross Section
- Appendix N: Hedin Equations from a Generating Functional
- Appendix O: Why the Name Random Phase Approximation?
- Appendix P: Kramers–Kronig Relations
- References
- Index
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- Nonequilibrium Many-Body Theory of Quantum SystemsA Modern Introduction, pp. 589 - 594Publisher: Cambridge University PressPrint publication year: 2025