1 citations · 1 across the 1 of their papers we have counts for
4 papers
Pointwise estimates on derivatives of Coulombic wave functions and their electron densities
Søren Fournais, Thomas Østergaard Sørensen
We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions, involving negative powers of the distance to the singularities of the many-body potential…
Coulomb potentials and Taylor expansions in Time-Dependent Density Functional Theory
Søren Fournais, Jonas Lampart, Mathieu Lewin +1
We investigate when Taylor expansions can be used to prove the Runge-Gross Theorem, which is at the foundation of Time-Dependent Density Functional Theory (TDDFT). We start with a…
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…
The large-Z behaviour of pseudo-relativistic atoms
Thomas Østergaard Sørensen
In this paper we study the large-Z behaviour of the ground state energy of atoms with electrons having relativistic kinetic energy sqrt(p^2c^2+m^2c^4)-mc^2. We prove that to leadin…