Elements Of Green Function And Density Functional Theory
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A01=Ferdi Aryasetiawan
Anderson Impurity Model
Author_Ferdi Aryasetiawan
Category=PHFC
Category=PHU
Clifford Algebra
Coherent States
Cumulant Expansion
Density-Functional Theory
Dynamical Exchange-Correlation Hole
Dynamical Exchange-Correlation Potential
Dynamical Mean-Field Theory
Dyson Equation
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Exchange-Correlation Hole
Exchange-Correlation Potential
Field Operators
Functional Integral Formalism
Galitskii-Migdal Total Energy
Grassmann Variables
Green Function Theory
GW Approximation
Hartree-Fock Approximation
Hedin Equations
Heisenberg Model
Hohenberg-Kohn Theorem
Holstein Model
Homogeneous Electron Gas
Hubbard Model
Hund's Rules
Irreducible Diagrams
Kinetic Exchange
Kohn-Sham Eigenvalues
Kohn-Sham Potential
Kohn-Sham Scheme
Kondo Model
Kondo Temperature
Koopmans Theorem
Kubo Formula
Landau Fermi Liquid
Linear-Response Theory
Linearised Augmented Plane Waves
Linearised Muffin-Tin Orbitals
Local-Density Approximation
Luttinger-Ward Functional
Matsubara Green Function
Mean-Field Methods
Mott Insulator
Occupation-Number Representation
Perturbation Theory
Plasmons
Pseudopotential
Quasiparticle
Random-Phase Approximation
Reducible Diagrams
Schwinger Functional Derivative Technique
Screened Interaction
Self-Energy
Skeleton Diagrams
Slater Determinant
Slater-Koster Linear Combination of Atomic Orbitals
Stoner Criterion
T-J Model
T-Matrix
Thomas-Fermi Model
Tight-Binding Method
Wannier Orbitals
Wick's Theorem
Product details
- ISBN 9789819805792
- Publication Date: 11 Apr 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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If there were no Coulomb interaction among electrons, it would be relatively straightforward to solve the many-electron Schrödinger equation. It is, however, precisely this interaction that is at the heart of numerous fascinating phenomena in condensed matter physics such as superconductivity, Kondo physics, magnetism, etc. Due to the large number of electrons in a material being of the order of Avogadro's number, it is at present — and perhaps in the foreseeable future — not feasible or even desirable to solve the Schrödinger equation to obtain the many-electron wavefunction. Fortunately, a large number of important physical properties can be calculated without explicit knowledge of the wavefunction.Two of the most important formalisms for dealing with the many-electron problem which avoid a direct use of the many-electron wavefunction are the Green function and the density functional theory. Within the Kohn-Sham scheme the latter is used to calculate ground-state properties whereas the former for excitation spectra. The book presents the fundamentals of these two theories in detail with essential many-body tools, such as the occupation number representation and Grassmann algebra developed from scratch. Prior knowledge of many-body theory is not a prerequisite so that it is readable for final-year undergraduates and graduate students in physics and chemistry as well as researchers in the field of electronic structure and many-body theory. The book includes in the last chapter an exposition of a density-functional path for determining the Green function, a new formalism recently proposed by the author. The book should be a valuable companion for those embarking in the field of many-electron physics.
