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  • Book
  • © 2012

Fundamentals of Time-Dependent Density Functional Theory

  • Authored and edited by leading researchers in the field
  • Tutorial approach, suitable for both taught courses and self-study
  • Comprehensive treatment, suitable as source of reference
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 837)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xxxii
  2. Theory and Experiment: Why We Need TDDFT

    1. Front Matter

      Pages 1-1
    2. Short-Pulse Physics

      • Franck Lépine
      Pages 3-14
    3. Spectroscopy in the Frequency Domain

      • Simo Huotari
      Pages 15-28
    4. The Microscopic Description of a Macroscopic Experiment

      • Silvana Botti, Matteo Gatti
      Pages 29-50
  3. Basic Theory

    1. Front Matter

      Pages 51-51
    2. Introduction to TDDFT

      • Eberhard K. U. Gross, Neepa T. Maitra
      Pages 53-99
    3. Exact Conditions and Their Relevance in TDDFT

      • Lucas O. Wagner, Zeng-hui Yang, Kieron Burke
      Pages 101-123
    4. Orbital Functionals

      • Stephan Kümmel
      Pages 125-138
    5. Response Functions in TDDFT: Concepts and Implementation

      • David A. Strubbe, Lauri Lehtovaara, Angel Rubio, Miguel A. L. Marques, Steven G. Louie
      Pages 139-166
  4. Advanced Concepts

    1. Front Matter

      Pages 185-185
    2. Beyond the Runge–Gross Theorem

      • Michael Ruggenthaler, Robert van Leeuwen
      Pages 187-210
    3. Open Quantum Systems: Density Matrix Formalism and Applications

      • David G. Tempel, Joel Yuen-Zhou, Alán Aspuru-Guzik
      Pages 211-229
    4. Multicomponent Density-Functional Theory

      • Robert van Leeuwen, Eberhard K. U. Gross
      Pages 249-263
    5. Quantum Optimal Control

      • Alberto Castro, Eberhard K. U. Gross
      Pages 265-276
  5. Real-Time Dynamics

    1. Front Matter

      Pages 277-277
    2. Non-Born–Oppenheimer Dynamics and Conical Intersections

      • Mark E. Casida, Bhaarathi Natarajan, Thierry Deutsch
      Pages 279-299
    3. On the Combination of TDDFT with Molecular Dynamics: New Developments

      • José L. Alonso, Alberto Castro, Pablo Echenique, Angel Rubio
      Pages 301-315

About this book

There have been many significant advances in time-dependent density functional theory over recent years, both in enlightening the fundamental theoretical basis of the theory, as well as in computational algorithms and applications. This book, as successor to the highly successful volume Time-Dependent Density Functional Theory (Lect. Notes Phys. 706, 2006) brings together for the first time all recent developments in a systematic and coherent way.

 First, a thorough pedagogical presentation of the fundamental theory is given, clarifying aspects of the original proofs and theorems, as well as presenting fresh developments that extend the theory into new realms—such as alternative proofs of the original Runge-Gross theorem, open quantum systems, and dispersion forces to name but a few. Next, all of the basic concepts are introduced sequentially and building in complexity, eventually reaching the level of open problems of interest. Contemporary applications of the theory are discussed, from real-time coupled-electron-ion dynamics, to excited-state dynamics and molecular transport. Last but not least, the authors introduce and review recent advances in computational implementation, including massively parallel architectures and graphical processing units. Special care has been taken in editing this volume as a multi-author textbook, following a coherent line of thought, and making all the relevant connections between chapters and concepts consistent throughout. As such it will prove to be the text of reference in this field, both for beginners as well as expert researchers and lecturers teaching advanced quantum mechanical methods to model complex physical systems, from molecules to nanostructures, from biocomplexes to surfaces, solids andliquids.

 From the reviews of LNP 706:

“This is a well structured text, with a common set of notations and a single comprehensive and up-to-date list of references, rather than just a compilation of research articles. Because of its clear organization, the book can be used by novices (basic knowledge of ground-state DFT is assumed) and experienced users of TD-DFT, as well as developers in the field.” (Anna I. Krylov, Journal of the American Chemical Society, Vol. 129 (21), 2007)

 “This book is a treasure of knowledge and I highly recommend it. Although it is a compilation of chapters written by many different leading researchers involved in development and application of TDDFT, the contributors have taken great care to make sure the book is pedagogically sound and the chapters complement each other [...]. It is highly accessible to any graduate student of chemistry or physics with a solid grounding in many-particle quantum mechanics, wishing to understand both the fundamental theory as well as the exponentially growing number of applications. [...]  In any case, no matter what your background is, it is a must-read and an excellent reference to have on your shelf.”

Amazon.com, October 15, 2008, David Tempel (Cambridge, MA)

Reviews

From the reviews:

“This book updates and completes a previous review volume on the time-dependent density functional theory (TDDFT) from a physical viewpoint … . This edition is more pedagogical and its aim is to give access to TDDFT to as many researchers and students as possible. Compared to the previous edition, it is more focused on fundamental aspects of the theory and less on applications. It is therefore also better suited to a mathematical audience.” (Gabriel Stoltz, Mathematical Reviews, May, 2013)

Editors and Affiliations

  • Condensée et Nanostructures, Unviversité Lyon 1 et CNRS, Lab.de Physique de la Matière, 69622, France

    Miguel A.L. Marques

  • Center of the City University of New Yor, Hunter College and the Graduate, New York, NY, USA

    Neepa T. Maitra

  • , Dept. de Física, Universidade de Coimbra, Coimbra, Portugal

    Fernando M.S. Nogueira

  • MPI für Mikrostrukturphysik, Halle (Saale), Germany

    E.K.U. Gross

  • Centro Joxe Mari Korta, Dept. of Materials Science, Univ. of the Basque Country UPV/EHU, Donostia-San Sebastian, Spain

    Angel Rubio

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access