2 papers
math-ph2023
Homogenization of 2D materials in the Thomas-Fermi-von Weizsacker theory
Saad Benjelloun, Salma Lahbabi, Abdelqoddous Moussa
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…
math-ph2023
Stability of the one electron atom Schrödinger model with magnetic field in two dimensions
Ayoub Arraji, Saad Benjelloun, Salma Lahbabi
We study the stability of the one electron atom Schrödinger model with self-generated magnetic field in two dimensions. The magnetic energy is taken of the general form $K\int_{\ma…