Density Functional Theory

Gero Friesecke

ISBN 10: 303122339X / ISBN 13: 9783031223396

Published by Springer International Publishing, Springer Nature Switzerland Jul 2023, 2023

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This item is printed on demand - it takes 3-4 days longer - Neuware -Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum mechanics. It plays a central role in a huge spectrum of applications in chemistry, physics, and materials science.Quantum mechanics describes a system of N interacting particles in the physical 3-dimensional space by a partial differential equation in 3N spatial variables. The standard numerical methods thus incur an exponential increase of computational effort with N, a phenomenon known as the curse of dimensionality; in practice these methods already fail beyond N=2.DFT overcomes this problem by1) reformulating the N-body problem involving functions of 3N variables in terms of the density, a function of 3 variables,2) approximating it by a pioneering hybrid approach which keeps important ab initio contributions and re-models the remainder in a data-driven way.This book intends to be an accessible, yet state-of-art text on DFT for graduate students and researchers in applied and computational mathematics, physics, chemistry, and materials science. It introduces and reviews the main models of DFT, covering their derivation and mathematical properties, numerical treatment, and applications. 600 pp. Englisch.

Seller Inventory # 9783031223396

Bibliographic Details

• Title: Density Functional Theory
• Publisher: Springer International Publishing, Springer Nature Switzerland Jul 2023
• Publication Date: 2023
• Language: English
• ISBN 10: 303122339X
• ISBN 13: 9783031223396
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 38D millimeters 241 millimeters width by 160 millimeters height by 38 millimeters depth
• Weight: 1057 grams

About this title

Synopsis

Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum mechanics. It plays a central role in a huge spectrum of applications in chemistry, physics, and materials science.

Quantum mechanics describes a system of N interacting particles in the physical 3-dimensional space by a partial differential equation in 3N spatial variables. The standard numerical methods thus incur an exponential increase of computational effort with N, a phenomenon known as the curse of dimensionality; in practice these methods already fail beyond N=2.

 

DFT overcomes this problem by

1) reformulating the N-body problem involving functions of 3N variables in terms of the density, a function of 3 variables, 

2) approximating it by a pioneering hybrid approach which keeps important ab initio contributions and re-models the remainder in a data-driven way.

This book intends to be an accessible, yet state-of-art text on DFT for graduate students and researchers in applied and computational mathematics, physics, chemistry, and materials science. It introduces and reviews the main models of DFT, covering their derivation and mathematical properties, numerical treatment, and applications.  

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