Reiner M. Dreizler: Density Functional Theory

Cover: 9783642140891 | Density Functional Theory | An Advanced Course | Dreizler (u. a.) | xv

Rückseite: 9783642140891 | Density Functional Theory | An Advanced Course | Dreizler (u. a.) | xv

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Sprache: Englisch

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Beschreibung

Density Functional Theory (DFT) has firmly established itself as the workhorse for atomic-level simulations of condensed phases, pure or composite materials and quantum chemical systems. This work offers a rigorous and detailed introduction to the foundations of this theory, up to and including such advanced topics as orbital-dependent functionals as well as both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, the text concentrates on the self-contained presentation of the basics of the most widely used DFT variants: this implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating the strengths and weaknesses of particular approaches or functionals.
The structure and content of this book allow a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green's function or response functions - are introduced step by step, along with the actual DFT material. The same applies to basic notions of solid state theory, such as the Fermi surface of inhomogeneous, interacting systems. In fact, even the language of second quantization is introduced systematically in an Appendix for readers without formal training in many-body theory.

Zusammenfassung

Written by two well-known experts in the field

Useful as advanced study text, self-study guide and reference regarding the fundamentals

contains advanced level material such as time-dependent and relativistic DFT

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Foundations of Density Functional Theory: Existence Theorems.- Effective Single-Particle Equations.- Exchange-Correlation Energy Functional.- Virial Theorems.- Orbital Functionals: Optimized Potential Method.- Time-Dependent Density Functional Theory.- Relativistic Density Functional Theory.- Further Reading.- Appendices: Functionals and the Functional Derivative.- Second Quantization in Many-Body Theory.- Scaling Behavior of Many-Body Methods.- Explicit Density Functionals for the Kinetic Energy: Thomas-Fermi Models and Beyond.- Asymptotic Behavior of Quasi-Particle Amplitudes.- Quantization of Noninteracting Fermions in Relativistic Quantum Field Theory.- Renormalization Scheme of Vacuum QED.- Relativistic Homogeneous Electron Gas.- Renormalization of Inhomogeneous Electron Gas.- Gradient Corrections to the Relativistic LDA.- Gordon Decomposition.- Some Useful Formulae.- Index.

Erscheinungsjahr:	2011
Fachbereich:	Atomphysik & Kernphysik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xv 531 S. 5 s/w Illustr. 10 farbige Illustr. 531 p. 15 illus. 10 illus. in color.
ISBN-13:	9783642140891
ISBN-10:	3642140890
Sprache:	Englisch
Herstellernummer:	12230549
Einband:	Gebunden
Autor:	Dreizler, Reiner M. Engel, Eberhard
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 34 mm
Von/Mit:	Reiner M. Dreizler (u. a.)
Erscheinungsdatum:	17.02.2011
Gewicht:	0,986 kg

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