Time-dependent density-functional theory : concepts and applications

書誌事項

Time-dependent density-functional theory : concepts and applications

Carsten A. Ullrich

(Oxford graduate texts)

Oxford University Press, 2012

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内容説明・目次

内容説明

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.

目次

  • 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

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詳細情報

  • NII書誌ID(NCID)
    BB08221682
  • ISBN
    • 9780199563029
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Oxford
  • ページ数/冊数
    xiv, 526 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
  • 親書誌ID
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