Density Functional Theory Modeling, Mathematical Analysis, Computational Methods, and Applications /

Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum mechanics. It plays a central role in a huge spectrum of applications in chemistry, physics, and materials science. Quantum mechanics describes a syste...

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Bibliografiske detaljer
Institution som forfatter: SpringerLink (Online service)
Andre forfattere: Cancès, Eric (Editor), Friesecke, Gero (Editor)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer International Publishing : Imprint: Springer, 2023.
Udgivelse:1st ed. 2023.
Serier:Mathematics and Molecular Modeling,
Fag:
Online adgang:https://doi.org/10.1007/978-3-031-22340-2
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Indholdsfortegnelse:
  • Chapter 1. Review of approximations for the exchange-correlation energy in density-functional theory
  • Chapter 2. On connecting density functional approximations to theory
  • Chapter 3. Universal functionals in density functional theory
  • Chapter 4. The strong-interaction limit of density functional theory
  • Chapter 5. Moreau–Yosida regularization in DFT
  • Chapter 6. Thermodynamic limits of electronic systems
  • Chapter 7. Numerical methods for Kohn–Sham models: discretization, algorithms, and error analysis
  • Chapter 8. Recent progress in evaluating the Kohn–Sham map
  • Chapter 9. Augmented plane wave methods for full-potential calculations
  • Chapter 10. Finite Element Methods for Density Functional Theory
  • Chapter 11. Flexibilities of wavelets as a computational basis set for large-scale electronic structure calculations
  • Chapter 12. Accurate approximations of density functional theory for large systems with applications to defects in crystalline solids
  • Glossary
  • Notation.