3 papers
math-ph2025
The quantitative semi-classical limit of a large Fermi system at zero temperature
Esteban Cárdenas
In this article we consider a large system of fermions in a combined mean-field and semiclassical limit, in three dimensions. We investigate the convergence of the Wigner function…
math-ph2025
Commutator Estimates and Quantitative Local Weyl's Law for Schrödinger Operators with Non-Smooth Potentials
Esteban Cárdenas, Laurent Lafleche
We analyze semi-classical Schrödinger operators with potentials of class and establish commutator estimates for the associated projection operators in Schatten norms. T…
math-ph2023
Norm convergence of confined fermionic systems at zero temperature
Esteban Cárdenas
The semi-classical limit of ground states of large systems of fermions was studied by Fournais, Lewin and Solovej in (Calc. Var. Partial Differ. Equ., 2018). In particular, the aut…