2 papers
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-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…