4 papers
Geometric Time-Dependent Density Functional Theory
Ãric Cancès, Théo Duez, Jari van Gog +3
We provide a new formulation of Time-Dependent Density Functional Theory (TDDFT) based on the geometric structure of the set of states constrained to have a fixed density. Orbital-…
Geometric theory of constrained Schrödinger dynamics with application to time-dependent density-functional theory on a finite lattice
Eric Cancès, Théo Duez, Jari van Gog +3
Time-dependent density-functional theory (TDDFT) is a central tool for studying the dynamical electronic structure of molecules and solids, yet aspects of its mathematical foundati…
Positive-density ground states of the Gross-Pitaevskii equation
Mathieu Lewin, Phan Thà nh Nam
We consider the nonlinear Gross-Pitaevskii equation at positive density, that is, for a bounded solution not tending to 0 at infinity. We focus on infinite ground states, which are…
Grand-Canonical Optimal Transport
Simone Di Marino, Mathieu Lewin, Luca Nenna
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals and is inspired of statistical mechanics. It consists in optim…