Local-density approximations (LDA) are a class of approximations to the exchange–correlation (XC) energy functional in density functional theory (DFT)...
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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...
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diisopropylamide, a chemical base Local delivery agent, in e-mail Local-density approximation, in quantum mechanics Low density amorphous ice, a solid phase...
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density differences except where they appear in terms multiplied by g, the acceleration due to gravity. The essence of the Boussinesq approximation is...
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for illustrating the failure of density functional theory (using functionals based on the local-density approximation) and Hartree–Fock theory to account...
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Band gap Bloch waves Kohn–Sham equations Kronig–Penney model Local-density approximation Duan, Feng; Guojun, Jin (2005). Introduction to Condensed Matter...
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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) - 21:49, 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...
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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)...
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θ {\displaystyle \theta } the joint is an un-normalised density. In Laplace's approximation, we approximate the joint by an un-normalised Gaussian q...
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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...
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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
The simplest model is the Local-density approximation (LDA), becoming more complex with the generalized-gradient approximation (GGA) and beyond. An additional...
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Elliott H.; Seiringer, Robert (January 1, 2020). "The local density approximation in density functional theory". Pure and Applied Analysis. 2 (1): 35–73...
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of interesting self-interstitials - recently discovered using Local-density approximation-calculations is the "spiro-interestitial" in graphite, named...
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Leonard (1990). "Good semiconductor band gaps with a modified local-density approximation". Physical Review B. 41 (11): 7868–7871. Bibcode:1990PhRvB..41...
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manner) by simple one-electron theories such as the local-density approximation (LDA) of density-functional theory or Hartree–Fock theory. For instance...
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Qbox (section Methods and approximations)
of Density Functional Theory approximations can be used, including the local-density approximation (LDA), the generalized gradient approximation (GGA)...
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Arun Rojanasakul (2007) The Chachiyo correlation functional for local-density approximation, by Teepanis Chachiyo (2016) A new reconstruction of the phonology...
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charge of the individual particles with density n (SI unit: coulombs). A common approximation to the current density assumes the current simply is proportional...
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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...
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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...
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Stone–Weierstrass theorem (redirect from Weierstrass approximation theorem)
In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...
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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
complex quantity and usually approximations are needed to solve the problem. One such approximation is the GW approximation, so called from the mathematical...
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the impurity model by a one-body local potential, U. This potential is then optimised by requiring that the Density matrix of the impurity model and effective...
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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 ^...
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