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Ab-Initio Calculations

Chapitre d'ouvrage scientifique
Author
ccABISSET-CHAVANNE, Emmanuelle
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]
564849 ESI Group [ESI Group]
ccCHINESTA SORIA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/18780
DOI
10.1007/978-3-319-70001-4_2
Date
2018

Abstract

Due to the difficulties found in the direct solution of the Schrödinger equation, different simplified approaches were proposed and are nowadays widely used. Among them, those most usually employed are the Hartree–Fock and the Density Functional Theory, which we revisit in the present chapter. The former makes use of nonstandard numerical approximations in order to calculate the wavefunction while circumventing the curse of dimensionality, whereas the latter involves the electronic density that is now defined in three dimensions but requires deeper analyses to retain the most relevant features present in the wavefunction description in a coarse 3D model.

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