12 citations · 25 across the 12 of their papers we have counts for
16 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…
Mesoscopic Observables of the Dilute Fermi Gas at Low Energy
Niels Benedikter, Emanuela L. Giacomelli, Asbjørn Bækgaard Lauritsen +1
We consider a dilute quantum gas of interacting spin-1/2 fermions in the thermodynamic limit. For a trial state that resolves the ground state energy to the precision of the Huang-…
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…
Multi-band superconductors have enhanced critical temperatures
Joscha Henheik, Edwin Langmann, Asbjørn Bækgaard Lauritsen
We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, ir…
Pressure of a dilute spin-polarized Fermi gas: Upper bound
Asbjørn Bækgaard Lauritsen, Robert Seiringer
We prove an upper bound on the pressure of a dilute fully spin-polarized Fermi gas capturing the leading correction to the pressure of a free gas resulting from repulsive interacti…