3 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.AP2025
Existence and non-existence of minimizers for a multi-particle model with concave nonlinearity
David Gontier, Salma Lahbabi, Simona Rota Nodari
We study a multi--particle model including a kinetic energy and a non linear local self-interaction, both in the bosonic and fermionic cases. In both cases, we prove that the model…
math-ph2025
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…