3 papers
math-ph2023
Thermodynamic Limits of Electronic Systems
David Gontier, Jianfeng Lu, Christoph Ortner
We review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three model…
math-ph2021
Second-order homogenization of periodic Schrödinger operators with highly oscillating potentials
Éric Cancès, Louis Garrigue, David Gontier
We consider the homogenization at second-order in of -periodic Schrödinger operators with rapidly oscillating potentials of the form $H^\varepsilon =-Δ+ \…
math.AP2016
A mathematical and numerical framework for bubble meta-screens
Habib Ammari, Brian Fitzpatrick, David Gontier +2
The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterne…