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Quantum Theory of the Electron Liquid
Spectral representation and frequency summations
monograph
Author(s):
Gabriele Giuliani
,
Giovanni Vignale
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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Book Chapter
Pages
: 713-714
DOI:
10.1017/CBO9780511619915.025
SO-VID:
ec606cce-ab4f-44ec-90dc-d1517dd8d827
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Book chapters
pp. xvii
Preface
pp. 1
Introduction to the electron liquid
pp. 69
The Hartree–Fock approximation
pp. 111
Linear response theory
pp. 157
Linear response of independent electrons
pp. 188
Linear response of an interacting electron liquid
pp. 275
The perturbative calculation of linear response functions
pp. 327
Density functional theory
pp. 405
The normal Fermi liquid
pp. 501
Electrons in one dimension and the Luttinger liquid
pp. 550
The two-dimensional electron liquid at high magnetic field
pp. 667
Fourier transform of the coulomb interaction in low dimensional systems
pp. 670
Second-quantized representation of some useful operators
pp. 674
Normal ordering and Wick's theorem
pp. 682
The pair correlation function and the structure factor
pp. 688
Calculation of the energy of a Wigner crystal via the Ewald method
pp. 690
Exact lower bound on the ground-state energy of the jellium model
pp. 693
The density–density response function in a crystal
pp. 695
Example in which the isothermal and adiabatic responses differ
pp. 697
Lattice screening effects on the effective electron–electron interaction
pp. 700
Construction of the STLS exchange-correlation field
pp. 702
Interpolation formulas for the local field factors
pp. 707
Real space-time form of the noninteracting Green's function
pp. 709
Calculation of the ground-state energy and thermodynamic potential
pp. 713
Spectral representation and frequency summations
pp. 715
Construction of a complete set of wavefunctions, with a given density
pp. 717
Meaning of the highest occupied Kohn–Sham eigenvalue in metals
pp. 719
Density functional perturbation theory
pp. 721
Density functional theory at finite temperature
pp. 724
Completeness of the bosonic basis set for the Luttinger model
pp. 726
Proof of the disentanglement lemma
pp. 728
The independent boson theorem
pp. 732
The three-dimensional electron gas at high magnetic field
pp. 736
Density matrices in the lowest Landau level
pp. 738
Projection in the lowest Landau level
pp. 740
Solution of the independent boson model
pp. 742
References
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