Search results for "Thomas–Fermi model"

showing 2 items of 2 documents

Orbital-free energy functional for electrons in two dimensions

2009

We derive a non-empirical, orbital-free density functional for the total energy of interacting electrons in two dimensions. The functional consists of a local formula for the interaction energy, where we follow the lines introduced by Parr for three-dimensional systems [R. G. Parr, J. Phys. Chem. 92, 3060 (1988)], and the Thomas-Fermi approximation for the kinetic energy. The freedom from orbitals and from the Hartree integral makes the proposed approximation numerically highly efficient. The total energies obtained for confined two-dimensional systems are in a good agreement with the standard local-density approximation within density-functional theory, and considerably more accurate than …

PhysicsCondensed Matter - Materials ScienceStrongly Correlated Electrons (cond-mat.str-el)Born–Huang approximationMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesHartreeInteraction energyCondensed Matter PhysicsKinetic energyElectronic Optical and Magnetic MaterialsHybrid functionalCondensed Matter - Strongly Correlated ElectronsQuantum mechanicsDensity functional theoryThomas–Fermi modelEnergy functionalPhysical Review B
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Comment on “Critique of the foundations of time-dependent density-functional theory”

2008

A recent paper [J. Schirmer and A. Dreuw, Phys. Rev A. 75, 022513 (2007)] challenges exact time-dependent density-functional theory (TDDFT) on several grounds. We explain why these criticisms are either irrelevant or incorrect, and that TDDFT is both formally exact and predictive.

PhysicsQuantum mechanicsPhysics::Atomic and Molecular ClustersDensity functional theoryTime-dependent density functional theoryPhysics::Chemical PhysicsThomas–Fermi modelAtomic and Molecular Physics and OpticsPhysical Review A
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