36 citations · 69 across the 5 of their papers we have counts for
7 papers
Many Particle Hardy-Inequalities
M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, A. Laptev +1
In this paper we prove three differenttypes of the so-called many-particle Hardy inequalities. One of them is a "classical type" which is valid in any dimesnion . The seco…
Positivity and lower bounds to the decay of the atomic one-electron density
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give…
Third derivative of the one-electron density at the nucleus
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Østergaard Sørensen
We study electron densities of eigenfunctions of atomic Schroedinger operators. We prove the existence of rho~'''(0), the third derivative of the spherically averaged atomic densit…
Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei
Søren Fournais, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof +1
We investigate regularity properties of molecular one-electron densities rho near the nuclei. In particular we derive a representation rho(x)=mu(x)*(e^F(x)) with an explicit functi…
Analyticity of the density of electronic wavefunctions
S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof +1
We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic in away from the nuclei.
Electron Wavefunctions and Densities for Atoms
Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Thomas Østergaard Sørensen
With a special `Ansatz' we analyse the regularity properties of atomic electron wavefunctions and electron densities. In particular we prove an a priori estimate, $\sup_{y\in B(x,R…