(Physics research and technology) amlan k roy (ed ) theoretical and computational developments in modern density functional theory nova science publishers, inc (2013)

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(Physics research and technology) amlan k  roy (ed )   theoretical and computational developments in modern density functional theory nova science publishers, inc  (2013)

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Mục lục

  • THEORETICAL AND COMPUTATIONAL DEVELOPMENTS IN MODERN DENSITY FUNCTIONAL THEORY

  • THEORETICAL AND COMPUTATIONAL DEVELOPMENTS IN MODERN DENSITY FUNCTIONAL THEORY

    • LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA

    • CONTENTS

    • PREFACE

    • Chapter 1: DENSITY FUNCTIONAL THEORY: FROM FUNDAMENTAL PRECEPTS TO NONLOCAL EXCHANGE- CORRELATION FUNCTIONALS

      • Abstract

      • I. The Electronic Structure Problem

      • II. Density Functional Theory (DFT)

        • A. Overview

        • B. The Ground-State Electron Density as the Descriptor of Electronic Systems: The First Hohenberg-Kohn Theorem

        • C. The Variational Principle for the Ground-State Electron Density: The Second Hohenberg-Kohn Theorem

        • D. Orbitals Regained: The Kohn-Sham Equations

        • E. Spin-Density Functional Theory

        • F. The Exchange-Correlation Energy Functional

        • III. The Uniform Electron Gas (UEG)

          • A. Basic Concepts

          • B. The Exact Exchange Hole of the Uniform Electron Gas

          • C. Short-Range Correlation in the UEG: The Overhauser Model

          • D. An Approximation to the UEG’s the Exchange-Correlation Hole: The Model of Gori-Giorgi and Perdew

          • IV. Approximations and Challenges in DFT

            • A. Jacob’s Ladder

            • B. Challenges for DFT

            • C. Systematic Errors in Exchange-Correlation Functionals

            • IV. A Way Forward? Nonlocal Two-Point Functionals

              • A. Overview

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