Thomas Østergaard Sørensen

The Electron Density is Smooth Away from the Nuclei

We prove that the electron densities of electronic eigenfunctions of atoms and molecules are smooth away from the nuclei.

Analyticity of the density of electronic wavefunctions

We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic inR3 away from the nuclei.

Hartree–Fock Theory for Pseudorelativistic Atoms

Abstract.We study the Hartree–Fock model for pseudorelativistic atoms, that is, atoms where the kinetic energy of the electrons is given by the pseudo-relativistic operator

Third Derivative of the One-Electron Density at the Nucleus

\sqrt{(|{\bf p}|c)^{2} + (mc^{2})^{2}} - mc^{2}

Electron Wavefunctions and Densities for Atoms

. We prove the existence of a Hartree–Fock minimizer, and prove regularity away from the nucleus and pointwise exponential decay of the corresponding orbitals.

Relativistic Scott correction for atoms and molecules

Abstract.We investigate regularity properties of molecular one-electron densities ρ near the nuclei. In particular we derive a representation

REAL ANALYTICITY AWAY FROM THE NUCLEUS OF PSEUDORELATIVISTIC HARTREE-FOCK ORBITALS

\rho(x) = e^{{\mathcal{F}}(x)}\mu(x)