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Density Functional Theory: An Advanced Course (Theoretical and Mathematical Physics) [Hardcover]

Eberhard Engel , Reiner M. Dreizler
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

February 17, 2011 3642140890 978-3642140891 2011
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.

Frequently Bought Together

Density Functional Theory: An Advanced Course (Theoretical and Mathematical Physics) + Time-Dependent Density-Functional Theory: Concepts and Applications (Oxford Graduate Texts) + Density Functional Theory: A Practical Introduction
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Editorial Reviews

Review

From the reviews:

“This book is an introduction to density functional theory (DFT) … . The presentation is … aimed at a general scientific audience (physics, chemistry, etc.). … There are … many interesting choices in the covered topics. … Several appendices help in making the book self-contained.” (Gabriel Stoltz, Mathematical Reviews, Issue 2011 m)

“The book is remarkable for a down-to-earth exposition of DFT that makes it accessible for students specialized in different fields of theoretical physics. … The book may be useful both for beginners as an introduction to DFT and for specialists who would like to expand their view on rigorous foundations of this theory and to keep an eye on the cutting edge of computational methods in condense matter physics.” (Peter Kazinski, Zentralblatt MATH, Vol. 1216, 2011)

From the Back Cover

Density Functional Theory (DFT) has firmly established itself as the workhorse for the atomic-level simulation of condensed matter phases, pure or composite materials and quantum chemical systems. The present book is a rigorous and detailed introduction to the foundations up to and including such advanced topics as orbital-dependent functionals and both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, this 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 strengths and weaknesses of a particular approach or functional. DFT for superconducting or nuclear and hadronic systems are not addressed in this work. The structure and material contained in this book allow for 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, rather than just used. The same applies to some basic notions of solid state theory, as, for instance, the Fermi surface. Also, the language of second quantization is introduced systematically in an Appendix for readers without a formal theoretical physics background.

Product Details

  • Series: Theoretical and Mathematical Physics
  • Hardcover: 531 pages
  • Publisher: Springer; 2011 edition (February 17, 2011)
  • Language: English
  • ISBN-10: 3642140890
  • ISBN-13: 978-3642140891
  • Product Dimensions: 6.1 x 9.1 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,697,515 in Books (See Top 100 in Books)

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1 of 2 people found the following review helpful
5.0 out of 5 stars Amazing textbook for DFT July 6, 2011
Format:Hardcover|Verified Purchase
This book explains the fundamental theory of DFT at a whole new level and is a must-see item for researchers who are going to get deep understanding on DFT. This book is, however, an advanced course. Therefore, it is not easy to get through all the formulas.
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