87 citations · 213 across the 5 of their papers we have counts for
5 papers
Hardy and Sobolev inequalities on antisymmetric functions
Thomas Hoffmann-Ostenhof, Ari Laptev, Il'ya Shcherbakov
We obtain sharp Hardy inequalities on antisymmetric functions where antisymmetry is understood for multi-dimensional particles. Partially it is an extension of the previously publi…
Analytic structure of many-body Coulombic wave functions
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate the analytic structure of solutions of non-relativistic Schr"odinger equations describing Coulombic many-particle systems. We prove the following: Let psi(x) with x=…
Sharp regularity results for many-electron wave functions
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We show that electronic wave functions Psi of atoms and molecules have a representation Psi=F*phi, where F is an explicit universal factor, locally Lipschitz, and independent of th…
On the regularity of the density of electronic wavefunctions
S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof +1
We prove that the electronic density of atomic and molecular eigenfunctions is smooth away from the nuclei. The result is proved without decay assumptions on the eigenfunctions.
The electron density is smooth away from the nuclei
S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof +1
We prove that the electron densities of electronic eigenfunctions of atoms and molecules are smooth away from the nuclei.