• Local-density approximations (LDA) are a class of approximations to the exchange–correlation (XC) energy functional in density functional theory (DFT)...
    14 KB (2,065 words) - 11:28, 7 February 2025
  • becomes the difficulty within KS DFT. The simplest approximation is the local-density approximation (LDA), which is based upon exact exchange energy for...
    80 KB (10,626 words) - 22:19, 9 May 2025
  • successfully applied to real materials, in combination with the local density approximation of density functional theory. The DMFT treatment of lattice quantum...
    19 KB (2,803 words) - 10:18, 6 March 2025
  • diisopropylamide, a chemical base Local delivery agent, in e-mail Local-density approximation, in quantum mechanics Low density amorphous ice, a solid phase...
    1 KB (200 words) - 16:02, 18 September 2024
  • density differences except where they appear in terms multiplied by g, the acceleration due to gravity. The essence of the Boussinesq approximation is...
    8 KB (1,025 words) - 12:01, 25 May 2025
  • Band gap Bloch waves Kohn–Sham equations Kronig–Penney model Local-density approximation Duan, Feng; Guojun, Jin (2005). Introduction to Condensed Matter...
    6 KB (635 words) - 06:08, 3 June 2021
  • Thumbnail for Nickel(II) oxide
    for illustrating the failure of density functional theory (using functionals based on the local-density approximation) and Hartree–Fock theory to account...
    12 KB (1,375 words) - 01:20, 11 March 2025
  • Jellium (category Density functional theory)
    itself provides the basis for the local-density approximation to the exchange-correlation energy density functional. The term jellium was coined by Conyers...
    19 KB (2,966 words) - 04:50, 19 June 2025
  • exchange energy in orbital-free density functional theory (OFDFT) is the Dirac exchange as a Local Density Approximation (LDA) (1930) It is related to the...
    14 KB (2,156 words) - 22:33, 11 June 2025
  • zinc oxide varistor. He is also developed the time-dependent local-density approximation (TDLDA) and its author of various books in quantum many-body...
    17 KB (1,769 words) - 23:57, 14 February 2025
  • Thumbnail for Density of states
    like a spectral density. Local variations, most often due to distortions of the original system, are often referred to as local densities of states (LDOSs)...
    36 KB (5,572 words) - 17:14, 22 May 2025
  • Thumbnail for Kernel density estimation
    In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method...
    39 KB (4,618 words) - 09:26, 6 May 2025
  • with the dissertation The Structure of Finite Nuclei in the Local Density Approximation. He was a postdoc at the Niels Bohr Institute of the University...
    6 KB (685 words) - 00:08, 29 April 2025
  • Thumbnail for Elliott H. Lieb
    Elliott H.; Seiringer, Robert (January 1, 2020). "The local density approximation in density functional theory". Pure and Applied Analysis. 2 (1): 35–73...
    30 KB (3,206 words) - 10:10, 15 March 2025
  • Thumbnail for Interstitial defect
    of interesting self-interstitials - recently discovered using Local-density approximation-calculations is the "spiro-interestitial" in graphite, named...
    11 KB (1,340 words) - 16:55, 27 April 2024
  • Leonard (1990). "Good semiconductor band gaps with a modified local-density approximation". Physical Review B. 41 (11): 7868–7871. Bibcode:1990PhRvB..41...
    7 KB (942 words) - 19:07, 2 September 2024
  • The simplest model is the Local-density approximation (LDA), becoming more complex with the generalized-gradient approximation (GGA) and beyond. An additional...
    21 KB (2,306 words) - 04:39, 28 April 2025
  • θ {\displaystyle \theta } the joint is an un-normalised density. In Laplace's approximation, we approximate the joint by an un-normalised Gaussian q...
    7 KB (999 words) - 18:54, 29 October 2024
  • manner) by simple one-electron theories such as the local-density approximation (LDA) of density-functional theory or Hartree–Fock theory. For instance...
    10 KB (1,105 words) - 16:23, 22 August 2024
  • of Density Functional Theory approximations can be used, including the local-density approximation (LDA), the generalized gradient approximation (GGA)...
    8 KB (679 words) - 01:56, 11 December 2024
  • Arun Rojanasakul (2007) The Chachiyo correlation functional for local-density approximation, by Teepanis Chachiyo (2016) A new reconstruction of the phonology...
    2 KB (191 words) - 02:01, 9 March 2025
  • Thumbnail for Current density
    charge of the individual particles with density n (SI unit: coulombs). A common approximation to the current density assumes the current simply is proportional...
    23 KB (2,812 words) - 18:06, 6 January 2025
  • Hybrid functional (category Density functional theory)
    Hybrid functionals are a class of approximations to the exchange–correlation energy functional in density functional theory (DFT) that incorporate a portion...
    11 KB (1,572 words) - 14:06, 23 April 2025
  • In mathematical physics, the WKB approximation or WKB method is a technique for finding approximate solutions to linear differential equations with spatially...
    39 KB (6,860 words) - 22:43, 25 May 2025
  • In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...
    27 KB (3,235 words) - 20:19, 2 June 2025
  • DP code (category Density functional theory software)
    phase approximation), the TDLDA or ALDA (adiabatic local-density approximation) plus other non-local approximations, including or neglecting local-field...
    2 KB (234 words) - 23:21, 18 July 2022
  • contributes to the free energy density due to their presence, often characterized by a term known as the Rapini approximation: F s = − ∮ 1 2 W ( n ^ ⋅ ν ^...
    8 KB (1,378 words) - 11:07, 3 February 2025
  • complex quantity and usually approximations are needed to solve the problem. One such approximation is the GW approximation, so called from the mathematical...
    37 KB (4,835 words) - 02:03, 12 May 2025
  • Thumbnail for Relative density
    Relative density, also called specific gravity, is a dimensionless quantity defined as the ratio of the density (mass of a unit volume) of a substance...
    40 KB (6,085 words) - 16:01, 10 June 2025
  • Thumbnail for Central limit theorem
    version of this theorem, that the normal distribution may be used as an approximation to the binomial distribution, is the de Moivre–Laplace theorem. Let...
    67 KB (9,202 words) - 03:48, 9 June 2025