Time-Dependent Density-Functional Theory
Concepts and Applications
Published on 14. May 2019
Book
Paperback/Softback
536 pages
978-0-19-884193-7 (ISBN)
Description
Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of interacting electronic many-body systems formally exactly and in a practical and efficient manner. TDDFT has become the leading method for calculating excitation energies and optical properties of large molecules, with accuracies that rival traditional wave-function based methods, but at a fraction of the computational cost.
This book is the first graduate-level text on the concepts and applications of TDDFT, including many examples and exercises, and extensive coverage of the literature.
The book begins with a self-contained review of ground-state DFT, followed by a detailed and pedagogical treatment of the formal framework of TDDFT. It is explained how excitation energies can be calculated from linear-response TDDFT. Among the more advanced topics are time-dependent current-density-functional theory, orbital functionals, and many-body theory. Many applications are discussed, including molecular excitations, ultrafast and strong-field phenomena, excitons in solids, van der Waals interactions, nanoscale transport, and molecular dynamics.
This book is the first graduate-level text on the concepts and applications of TDDFT, including many examples and exercises, and extensive coverage of the literature.
The book begins with a self-contained review of ground-state DFT, followed by a detailed and pedagogical treatment of the formal framework of TDDFT. It is explained how excitation energies can be calculated from linear-response TDDFT. Among the more advanced topics are time-dependent current-density-functional theory, orbital functionals, and many-body theory. Many applications are discussed, including molecular excitations, ultrafast and strong-field phenomena, excitons in solids, van der Waals interactions, nanoscale transport, and molecular dynamics.
Reviews / Votes
This is a very pedagogical introduction to the central ideas of time-dependent density-functional theory. The theory is described in depth and illustrated with many insightful examples and applications in atomic, molecular and condensed matter physics. This is a valuable book for both students and researchers. * Robert van Leeuwen, University of Jyvaeskylae *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 29 mm
Weight
924 gr
ISBN-13
978-0-19-884193-7 (9780198841937)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
12/2011
1st Edition
Oxford University Press
€106.30
Shipment within 15-20 days
Person
Carsten A. Ullrich, Department of Physics and Astronomy, University of Missouri - Columbia.
Content
1: Introduction
2: Review of ground-state density-functional theory
3: Fundamental existence theorems
4: Time-dependent Kohn-Sham scheme
5: Time-dependent observables
6: Properties of the time-dependent xc potential
7: The formal framework of linear-response TDDFT
8: The frequency-dependent xc kernel
9: Applications in atomic and molecular systems
10: Time-dependent current-DFT
11: Time-dependent optimized effective potential
12: Extended systems
13: TDDFT and many-body theory
14: Long-range correlations and dispersion interactions
15: Nanoscale transport and molecular junctions
16: Strong-field phenomena and optimal control
17: Nuclear motion
A: Atomic units
B: Functionals and functional derivatives
C: Densities and density matrices
D: Hartree-Fock and other wave-function approaches
E: Constructing the xc potential from a given density
F: DFT for excited states
G: Systems with noncollinear spin
H: The dipole approximation
I: A brief review of classical fluid dynamics
J: Constructing the scalar from the tensor xc kernel
K: Semiconductor quantum wells
L: TDDFT in a Lagrangian frame
M: Inversion of the dielectric matrix
N: Review literature in DFT and many-body theory
O: TDDFT computer codes
2: Review of ground-state density-functional theory
3: Fundamental existence theorems
4: Time-dependent Kohn-Sham scheme
5: Time-dependent observables
6: Properties of the time-dependent xc potential
7: The formal framework of linear-response TDDFT
8: The frequency-dependent xc kernel
9: Applications in atomic and molecular systems
10: Time-dependent current-DFT
11: Time-dependent optimized effective potential
12: Extended systems
13: TDDFT and many-body theory
14: Long-range correlations and dispersion interactions
15: Nanoscale transport and molecular junctions
16: Strong-field phenomena and optimal control
17: Nuclear motion
A: Atomic units
B: Functionals and functional derivatives
C: Densities and density matrices
D: Hartree-Fock and other wave-function approaches
E: Constructing the xc potential from a given density
F: DFT for excited states
G: Systems with noncollinear spin
H: The dipole approximation
I: A brief review of classical fluid dynamics
J: Constructing the scalar from the tensor xc kernel
K: Semiconductor quantum wells
L: TDDFT in a Lagrangian frame
M: Inversion of the dielectric matrix
N: Review literature in DFT and many-body theory
O: TDDFT computer codes