6 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…
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-…
Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansion
Asbjørn Bækgaard Lauritsen
We prove an upper bound on the energy density of the dilute spin- Fermi gas capturing the leading correction to the kinetic energy with…
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…
Ground state energy of the dilute spin-polarized Fermi gas: Lower bound
Asbjørn Bækgaard Lauritsen, Robert Seiringer
We prove a lower bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interaction…