A. Maichine

activity

20172025

collaborators

8 papers

math-ph2025

Electronic structure models with 2D symmetries in the presence of magnetic fields

Carlos J. Garcia-Cervera, Salma Lahbabi, Abdallah Maichine

In this work, we characterize self-adjoint operators that commute with magnetic translations. We use this characterization to derive effective kinetic energy functionals for homoge…

math-ph2023

On Density Functional Theory models for one-dimensional homogeneous materials

Bouchra Bensiali, Salma Lahbabi, Abdallah Maichine +1

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…

math-ph2022

Density functional theory for homogeneous two dimensional materials with magnetic fields

David Gontier, Salma Lahbabi, Abdallah Maichine

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 functiona…

math-ph2021

Density Functional Theory for two-dimensional homogeneous materials

David Gontier, Salma Lahbabi, Abdallah Maichine

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 diffe…

math.AP2019

On the $L^{p}$ -theory of vector-valued elliptic operators

K. Khalil, A. Maichine

In this paper, we study vector--valued elliptic operators of the form $L f := div (Q \nabla f) - F \cdot \nabla f + div (C f) - V f$ acting on vector-valued functions $…

math.AP2018

On a polynomial scalar perturbation of a Schrödinger system in $L^{p}$ -spaces

Abdallah Maichine, Abdelaziz Rhandi

In the paper \cite{KLMR} the $L^{p}$ -realization $L_{p}$ of the matrix Schrödinger operator $L u = d i v (Q \nabla u) + V u$ was studied. The generation of a semigroup in $L^p(\R^d,\C^…

math.AP2018

Generation of semigroup for symmetric matrix Schrödinger operators in $L^{p}$ -spaces

Abdallah Maichine

In this paper we establish generation of analytic strongly continuous semigroup in $L^{p}$ --spaces for the symmetric matrix Schrödinger operator $d i v (Q \nabla u) - V u$ , where, for every…

math.AP2017

$L^{p}$ -theory for Schrödinger systems

Markus Kunze, Luca Lorenzi, Abdallah Maichine +1

In this article we study for $p \in (1, \infty)$ the $L^{p}$ -realization of the vector-valued Schrödinger operator $L u := div (Q \nabla u) + V u$ . Using a noncommutat…

Electronic structure models with 2D symmetries in the presence of magnetic fields

On Density Functional Theory models for one-dimensional homogeneous materials

Density functional theory for homogeneous two dimensional materials with magnetic fields

Density Functional Theory for two-dimensional homogeneous materials

On the Lp-theory of vector-valued elliptic operators

On a polynomial scalar perturbation of a Schrödinger system in Lp-spaces

Generation of semigroup for symmetric matrix Schrödinger operators in Lp-spaces

Lp-theory for Schrödinger systems

On the $L^{p}$ -theory of vector-valued elliptic operators

On a polynomial scalar perturbation of a Schrödinger system in $L^{p}$ -spaces

Generation of semigroup for symmetric matrix Schrödinger operators in $L^{p}$ -spaces

$L^{p}$ -theory for Schrödinger systems