Book contents
- Frontmatter
- Contents
- Preface
- List of 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 Many-particle Green's functions
- 6 One-particle Green's function
- 7 Mean field approximations
- 8 Conserving approximations: two-particle Green's function
- 9 Conserving approximations: self-energy
- 10 MBPT for the Green's function
- 11 MBPT and variational principles for the grand potential
- 12 MBPT for the two-particle Green's function
- 13 Applications of MBPT to equilibrium problems
- 14 Linear response theory: preliminaries
- 15 Linear response theory: many-body formulation
- 16 Applications of MBPT to nonequilibrium problems
- Appendices
- A From the N roots of 1 to the Dirac δ-function
- B Graphical approach to permanents and determinants
- C Density matrices and probability interpretation
- D Thermodynamics and statistical mechanics
- E Green's functions and lattice symmetry
- F Asymptotic expansions
- G Wick's theorem for general initial states
- H BBGKY hierarchy
- I From δ-like peaks to continuous spectral functions
- J Virial theorem for conserving approximations
- K Momentum distribution and sharpness of the Fermi surface
- L Hedin equations from a generating functional
- M Lippmann–Schwinger equation and cross-section
- N Why the name Random Phase Approximation?
- O Kramers–Kronig relations
- P Algorithm for solving the Kadanoff–Baym equations
- References
- Index
D - Thermodynamics and statistical mechanics
from Appendices
Published online by Cambridge University Press: 05 March 2013
Book contents
- Frontmatter
- Contents
- Preface
- List of 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 Many-particle Green's functions
- 6 One-particle Green's function
- 7 Mean field approximations
- 8 Conserving approximations: two-particle Green's function
- 9 Conserving approximations: self-energy
- 10 MBPT for the Green's function
- 11 MBPT and variational principles for the grand potential
- 12 MBPT for the two-particle Green's function
- 13 Applications of MBPT to equilibrium problems
- 14 Linear response theory: preliminaries
- 15 Linear response theory: many-body formulation
- 16 Applications of MBPT to nonequilibrium problems
- Appendices
- A From the N roots of 1 to the Dirac δ-function
- B Graphical approach to permanents and determinants
- C Density matrices and probability interpretation
- D Thermodynamics and statistical mechanics
- E Green's functions and lattice symmetry
- F Asymptotic expansions
- G Wick's theorem for general initial states
- H BBGKY hierarchy
- I From δ-like peaks to continuous spectral functions
- J Virial theorem for conserving approximations
- K Momentum distribution and sharpness of the Fermi surface
- L Hedin equations from a generating functional
- M Lippmann–Schwinger equation and cross-section
- N Why the name Random Phase Approximation?
- O Kramers–Kronig relations
- P Algorithm for solving the Kadanoff–Baym equations
- References
- Index
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- Nonequilibrium Many-Body Theory of Quantum SystemsA Modern Introduction, pp. 523 - 528Publisher: Cambridge University PressPrint publication year: 2013