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pro vyhledávání: '"Lahbabi, Salma"'
This paper studies DFT models for homogeneous 1D materials in the 3D space. It follows our previous work about DFT models for homogeneous 2D materials in 3D. We show how to reduce the problem from a 3D energy functional to a 2D energy functional. The
Externí odkaz:
http://arxiv.org/abs/2312.17036
We study the homogenization of the Thomas-Fermi-von Weizsacker (TFW) model for 2D materials. It consists in considering 2D-periodic nuclear densities with periods going to zero. We study the behavior of the corresponding ground state electronic densi
Externí odkaz:
http://arxiv.org/abs/2312.08067
We study the stability of the one electron atom Schr\"odinger model with self-generated magnetic field in two dimensions. The magnetic energy is taken of the general form $K\int_{\mathbb{R}^2} |B|^p$ and we study the stability of the model as a funct
Externí odkaz:
http://arxiv.org/abs/2310.12791
This paper studies DFT models for homogeneous 2D materials in 3D space, under a constant perpendicular magnetic field. We show how to reduce the three--dimensional energy functional to a one--dimensional one, similarly as in our previous work. This i
Externí odkaz:
http://arxiv.org/abs/2212.00448
We study Density Functional Theory models for systems which are translationally invariant in some directions, such as a homogeneous 2-d slab in the 3-d space. We show how the different terms of the energy are modified and we derive reduced equations
Externí odkaz:
http://arxiv.org/abs/2102.12987
Publikováno v:
In Journal of Functional Analysis 1 November 2023 285(9)
Autor:
Gontier, David, Lahbabi, Salma
We study the well-posedness of the reduced Hartree-Fock model for molecules and perfect crystals when taking into account a self-generated magnetic field. We exhibit a critical value $\alpha_c > 0$ such that, if the fine structure constant $\alpha$ i
Externí odkaz:
http://arxiv.org/abs/1904.09955
Akademický článek
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Autor:
Mansouri, Zouhir, Sibari, Anass, Al-Shami, Ahmed, Lahbabi, Salma, El Kenz, Abdallah, Benyoussef, Abdelilah, El Fatimy, Abdelouahed, Mounkachi, Omar
Publikováno v:
In Computational Materials Science 1 February 2022 202
Autor:
Lahbabi, Salma
Les contributions de cette thèse portent sur deux sujets.La première partie est dédiée à l'étude de modèles de champ moyen pour la structure électronique de matériaux avec des défauts.Dans le chapitre~ref{chap:ergodic_crystals}, nous introd
Externí odkaz:
http://www.theses.fr/2013CERG0628/document