Ab-Initio Calculations

Francisco Chinesta (1, 2) , Emmanuelle Abisset-Chavanne (3, 1)

1 ESI Group - ESI Group
2 PIMM - Laboratoire Procédés et Ingénierie en Mécanique et Matériaux
3 GeM - Institut de Recherche en Génie Civil et Mécanique

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.

Domaines: Matériaux

Francisco Chinesta, Emmanuelle Abisset-Chavanne. Ab-Initio Calculations. A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems: A Brief Overview with Special Emphasis on Kinetic Theory Approaches, Springer, pp.29-39, 2017, ⟨10.1007/978-3-319-70001-4_2⟩. ⟨hal-02734294⟩