66 citations · 379 across the 32 of their papers we have counts for
32 papers
The Scott conjecture for large Coulomb systems: a review
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in natur…
Mathematical Elements of Density Functional Theory
Heinz Siedentop
We review some of the basic mathematical results about density functional theory.
A Statistical Theory of Heavy Atoms: Asymptotic Behavior of the Energy and Stability of Matter
Heinz Siedentop
We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizsäcker-Dirac functional for heavy atoms for fixed ratio of the at…
A Statistical Theory of Heavy Atoms: Energy and Excess Charge
Hongshuo Chen, Rupert L. Frank, Heinz Siedentop
The purpose of this note is to give an elementary derivation of a lower bound on the relativistic Thomas-Fermi-Weizsäcker-Dirac functional of Thomas-Fermi type and to apply it to g…
Relativistic Strong Scott Conjecture: A Short Proof
Rupert L. Frank, Konstantin Merz, Heinz Siedentop
We consider heavy neutral atoms of atomic number modeled with kinetic energy used already by Chandrasekhar. We study the behavior of the one-particle g…
Proof of the Strong Scott Conjecture for Heavy Atoms: the Furry Picture
Konstantin Merz, Heinz Siedentop
We prove the convergence of the density on the scale to the density of the Bohr atom (with infinitely many electrons) (strong Scott conjecture) for a model that is known t…