Ullrich | Time-Dependent Density-Functional Theory | Buch | 978-0-19-884193-7 | www.sack.de

Buch, Englisch, 536 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 924 g

Ullrich

Time-Dependent Density-Functional Theory

Concepts and Applications
Erscheinungsjahr 2019
ISBN: 978-0-19-884193-7
Verlag: OXFORD UNIV PR

Concepts and Applications

Buch, Englisch, 536 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 924 g

ISBN: 978-0-19-884193-7
Verlag: OXFORD UNIV PR


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.

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Weitere Infos & Material


- 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


Carsten A. Ullrich, Department of Physics and Astronomy, University of Missouri - Columbia.



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