66 citations · 126 across the 4 of their papers we have counts for
4 papers
The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei
Søren Fournais, Thomas Østergaard Sørensen
We consider a pseudorelativistic model of atoms and molecules, where the kinetic energy of the electrons is given by . In this model the eigenfunctions are genera…
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=…
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.