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Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.

Fermi liquid theory --- Fermi surfaces --- Hartree-Fock approximation --- Many-body problem --- Quantum field theory --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Self-consistent field theory --- Surfaces, Fermi --- Electrons --- Free electron theory of metals --- Quantum statistics --- Landau Fermi liquid theory --- Landau theory of Fermi liquids --- Landau's theory of Fermi liquids --- Fermi liquids

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Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter. This 2006 graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods. It starts with a detailed description of the various theoretical approaches to calculating the electronic structure of solids and molecules, including density-functional theory and chemical methods based on Hartree-Fock theory. The basic approximations are thoroughly discussed, and an in-depth overview of recent advances and alternative approaches in DFT is given. The second part discusses the different practical methods used to solve the electronic structure problem computationally, for both DFT and Hartree-Fock approaches. Adopting a unique and open approach, this textbook is aimed at graduate students in physics and chemistry, and is intended to improve communication between these communities. It also serves as a reference for researchers entering the field.

Density functionals. --- Hartree-Fock approximation. --- Condensed matter --- Fonctionnelles densité --- Méthode d'approximation Hartree-Fock --- Matière condensée --- Computer simulation. --- Simulation par ordinateur --- Hartree-Fock approximation --- Density functionals --- Hartree-Fock, Méthode d'approximation --- Computer simulation --- Fonctionnelles densité --- Méthode d'approximation Hartree-Fock --- Matière condensée --- Hartree-Fock, Méthode d'approximation. --- Fonctionnelles densité. --- Simulation par ordinateur. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Density functional methods --- Density functional theory --- Functional methods, Density --- Functionals, Density --- Functional analysis --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Many-body problem --- Self-consistent field theory

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Approximation de Hartree-Fock --- Fermi liquid theory --- Fermionen --- Fermions --- Hartree-Fock approximatie --- Hartree-Fock approximation --- Many-body problem --- Perturbation (Dynamique quantique) --- Perturbation (Quantum dynamics) --- Problem of many bodies --- Problem of n-bodies --- Probleme a n corps --- Storing (Quantumdynamica) --- n-body problem --- n-lichaamprobleem --- Many-body problem. --- Density functionals. --- Hartree-Fock approximation. --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- Fermi liquid theory. --- Fermions. --- Perturbation (Quantum dynamics). --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- 530.19 --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Density functionals --- Perturbation theory, Quantum mechanical --- Perturbation (Mathematics) --- Quantum theory --- Mechanics, Analytic --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Self-consistent field theory --- Fermi-Dirac particles --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics) --- Landau Fermi liquid theory --- Landau theory of Fermi liquids --- Landau's theory of Fermi liquids --- Fermi liquids --- Density functional methods --- Density functional theory --- Functional methods, Density --- Functionals, Density --- Functional analysis --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc --- Quantum mechanics. Quantumfield theory