Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction to the electron liquid
- 2 The Hartree–Fock approximation
- 3 Linear response theory
- 4 Linear response of independent electrons
- 5 Linear response of an interacting electron liquid
- 6 The perturbative calculation of linear response functions
- 7 Density functional theory
- 8 The normal Fermi liquid
- 9 Electrons in one dimension and the Luttinger liquid
- 10 The two-dimensional electron liquid at high magnetic field
- Appendices
- Appendix 1 Fourier transform of the coulomb interaction in low dimensional systems
- Appendix 2 Second-quantized representation of some useful operators
- Appendix 3 Normal ordering and Wick's theorem
- Appendix 4 The pair correlation function and the structure factor
- Appendix 5 Calculation of the energy of a Wigner crystal via the Ewald method
- Appendix 6 Exact lower bound on the ground-state energy of the jellium model
- Appendix 7 The density–density response function in a crystal
- Appendix 8 Example in which the isothermal and adiabatic responses differ
- Appendix 9 Lattice screening effects on the effective electron–electron interaction
- Appendix 10 Construction of the STLS exchange-correlation field
- Appendix 11 Interpolation formulas for the local field factors
- Appendix 12 Real space-time form of the noninteracting Green's function
- Appendix 13 Calculation of the ground-state energy and thermodynamic potential
- Appendix 14 Spectral representation and frequency summations
- Appendix 15 Construction of a complete set of wavefunctions, with a given density
- Appendix 16 Meaning of the highest occupied Kohn–Sham eigenvalue in metals
- Appendix 17 Density functional perturbation theory
- Appendix 18 Density functional theory at finite temperature
- Appendix 19 Completeness of the bosonic basis set for the Luttinger model
- Appendix 20 Proof of the disentanglement lemma
- Appendix 21 The independent boson theorem
- Appendix 22 The three-dimensional electron gas at high magnetic field
- Appendix 23 Density matrices in the lowest Landau level
- Appendix 24 Projection in the lowest Landau level
- Appendix 25 Solution of the independent boson model
- References
- Index
Appendix 15 - Construction of a complete set of wavefunctions, with a given density
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- Preface
- 1 Introduction to the electron liquid
- 2 The Hartree–Fock approximation
- 3 Linear response theory
- 4 Linear response of independent electrons
- 5 Linear response of an interacting electron liquid
- 6 The perturbative calculation of linear response functions
- 7 Density functional theory
- 8 The normal Fermi liquid
- 9 Electrons in one dimension and the Luttinger liquid
- 10 The two-dimensional electron liquid at high magnetic field
- Appendices
- Appendix 1 Fourier transform of the coulomb interaction in low dimensional systems
- Appendix 2 Second-quantized representation of some useful operators
- Appendix 3 Normal ordering and Wick's theorem
- Appendix 4 The pair correlation function and the structure factor
- Appendix 5 Calculation of the energy of a Wigner crystal via the Ewald method
- Appendix 6 Exact lower bound on the ground-state energy of the jellium model
- Appendix 7 The density–density response function in a crystal
- Appendix 8 Example in which the isothermal and adiabatic responses differ
- Appendix 9 Lattice screening effects on the effective electron–electron interaction
- Appendix 10 Construction of the STLS exchange-correlation field
- Appendix 11 Interpolation formulas for the local field factors
- Appendix 12 Real space-time form of the noninteracting Green's function
- Appendix 13 Calculation of the ground-state energy and thermodynamic potential
- Appendix 14 Spectral representation and frequency summations
- Appendix 15 Construction of a complete set of wavefunctions, with a given density
- Appendix 16 Meaning of the highest occupied Kohn–Sham eigenvalue in metals
- Appendix 17 Density functional perturbation theory
- Appendix 18 Density functional theory at finite temperature
- Appendix 19 Completeness of the bosonic basis set for the Luttinger model
- Appendix 20 Proof of the disentanglement lemma
- Appendix 21 The independent boson theorem
- Appendix 22 The three-dimensional electron gas at high magnetic field
- Appendix 23 Density matrices in the lowest Landau level
- Appendix 24 Projection in the lowest Landau level
- Appendix 25 Solution of the independent boson model
- References
- Index
Summary
- Type
- Chapter
- Information
- Quantum Theory of the Electron Liquid , pp. 715 - 716Publisher: Cambridge University PressPrint publication year: 2005