14 citations · 49 across the 15 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…
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…
Universal behavior of the BCS energy gap
Joscha Henheik, Asbjørn Bækgaard Lauritsen
We consider the BCS energy gap (essentially given by , the BCS order parameter) at all temperatures up to the critical one, $T_c…
Pressure of a dilute spin-polarized Fermi gas: Lower bound
Asbjørn Bækgaard Lauritsen, Robert Seiringer
We consider a dilute spin-polarized Fermi gas at positive temperature in dimensions . We show that the pressure of the interacting gas is bounded from below by that…
Stochastic cellular automaton model of culture formation
Frederik Ravn Klausen, Asbjørn Bækgaard Lauritsen
We introduce a stochastic cellular automaton as a model for culture and border formation. The model can be conceptualized as a game where the expansion rate of cultures is quantifi…
Universality in low-dimensional BCS theory
Joscha Henheik, Asbjørn Bækgaard Lauritsen, Barbara Roos
It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature and the critical temperature is (approximately) given by a universal consta…
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 an…
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
Asbjørn Bækgaard Lauritsen, Robert Seiringer
We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactio…
The BCS Energy Gap at High Density
Joscha Henheik, Asbjørn Bækgaard Lauritsen
We study the BCS energy gap in the high-density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential on the Fermi sur…
Floating Wigner Crystal and Periodic Jellium Configurations
Asbjørn Bækgaard Lauritsen
Extending on ideas of Lewin, Lieb and Seiringer (Phys Rev B, 100, 035127, (2019)) we present a modified "floating crystal" trial state for Jellium (also known as the classical homo…
The BCS Energy Gap at Low Density
Asbjørn Bækgaard Lauritsen
We show that the energy gap for the BCS gap equation is in the low density limit . Together with t…