𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Fundamentals of Time-Dependent Density Functional Theory

✍ Scribed by Franck Lépine (auth.), Miguel A.L. Marques, Neepa T. Maitra, Fernando M.S. Nogueira, E.K.U. Gross, Angel Rubio (eds.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
Tongue
English
Leaves
594
Series
Lecture Notes in Physics 837
Edition
1
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


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 realmsβ€”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 and liquids.

From the reviews of LNP 706:

β€œThis 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)

β€œThis 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)

✦ Table of Contents


Front Matter....Pages i-xxxii
Front Matter....Pages 1-1
Short-Pulse Physics....Pages 3-14
Spectroscopy in the Frequency Domain....Pages 15-28
The Microscopic Description of a Macroscopic Experiment....Pages 29-50
Front Matter....Pages 51-51
Introduction to TDDFT....Pages 53-99
Exact Conditions and Their Relevance in TDDFT....Pages 101-123
Orbital Functionals....Pages 125-138
Response Functions in TDDFT: Concepts and Implementation....Pages 139-166
Front Matter....Pages 167-184
Open Quantum Systems: Density Matrix Formalism and Applications....Pages 185-185
Open Quantum Systems: A Stochastic Perspective....Pages 187-210
Multicomponent Density-Functional Theory....Pages 211-229
Quantum Optimal Control....Pages 231-247
Front Matter....Pages 249-263
Non-Born–Oppenheimer Dynamics and Conical Intersections....Pages 265-276
On the Combination of TDDFT with Molecular Dynamics: New Developments....Pages 277-277
Excited-State Properties and Dynamics....Pages 279-299
Electronic Transport....Pages 301-315
Atoms and Molecules in Strong Laser Fields....Pages 317-336
Front Matter....Pages 337-350
The Liouville-Lanczos Approach to Time-Dependent Density-Functional (Perturbation) Theory....Pages 351-371
The Projector Augmented Wave Method....Pages 373-373
Front Matter....Pages 375-390
Harnessing the Power of Graphic Processing Units....Pages 391-400
Front Matter....Pages 373-373
Dispersion (van der Waals) Forces and TDDFT....Pages 401-413
Nonlocal Van Der Waals Density Functionals Based on Local Response Models....Pages 415-415
Time-Dependent Current Density Functional Theory....Pages 417-441
Time-Dependent Deformation Functional Theory....Pages 443-456
Time-Dependent Reduced Density Matrix Functional Theory....Pages 457-469
Back Matter....Pages 471-484
....Pages 485-498

✦ Subjects


Numerical and Computational Physics;Theoretical and Computational Chemistry;Condensed Matter Physics;Atomic/Molecular Structure and Spectra


πŸ“œ SIMILAR VOLUMES


Fundamentals of Time-Dependent Density F
✍ Franck LΓ©pine (auth.), Miguel A.L. Marques, Neepa T. Maitra, Fernando M.S. Nogue πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>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-D

Fundamentals of Time-Dependent Density F
✍ Franck LΓ©pine (auth.), Miguel A.L. Marques, Neepa T. Maitra, Fernando M.S. Nogue πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>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-D

Time-Dependent Density Functional Theory
✍ Miguel A.L. Marques, Carsten A. Ullrich, Fernando Nogueira, Angel Rubio, Kieron πŸ“‚ Library πŸ“… 2010 πŸ› Springer 🌐 English

Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, chemistry and materials sciences where direct soluti

Time-Dependent Density Functional Theory
✍ E.K.U. Gross, K. Burke (auth.), Miguel A.L. Marques, Carsten A. Ullrich, Fernand πŸ“‚ Library πŸ“… 2006 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, chemistry and materials sciences where direct sol

Time-Dependent Density Functional Theory
✍ E.K.U. Gross, K. Burke (auth.), Miguel A.L. Marques, Carsten A. Ullrich, Fernand πŸ“‚ Library πŸ“… 2006 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p>Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, chemistry and materials sciences where direct sol