117 citations · 1.9k across the 89 of their papers we have counts for
68 papers · 1 filter
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…
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…
Improved Lieb-Oxford bound on the indirect and exchange energies
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of identical charges only in terms of their one-particle density. We prove here a…
Coulomb and Riesz gases: The known and the unknown
Mathieu Lewin
We review what is known, unknown and expected about the mathematical properties of Coulomb and Riesz gases. Those describe infinite configurations of points in inter…