117 citations · 1.9k across the 89 of their papers we have counts for
100 papers
The inverse problem of time-dependent density functional theory on the torus
Asbjørn Bækgaard Lauritsen, Mathieu Lewin, Jakob Oldenburg
We prove that, for any given sufficiently regular one-particle density, there exists a unique external potential for which the solution to the many-body Schrödinger equation has th…
Geometric Time-Dependent Density Functional Theory
Éric 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…
Classical Density Functional Theory: The Local Density Approximation
Michal Jex, Mathieu Lewin, Peter Madsen
We prove that the lowest free energy of a classical interacting system at temperature with a prescribed density profile can be approximated by the local free energy $\in…
Positive-density ground states of the Gross-Pitaevskii equation
Mathieu Lewin, Phan Thành 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…
Classical Density Functional Theory: Representability and Universal Bounds
Michal Jex, Mathieu Lewin, Peter S. Madsen
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density . We study both the canonical and grand-canonical cases, assum…