7 citations · 7 across the 6 of their papers we have counts for
6 papers
Eigenvalue asymptotics of Müller minimizers for atoms and molecules
Rupert L. Frank, Long Meng, Phan Thành Nam +1
We study the spectral properties of minimizers of the Müller functional for atoms and molecules with electrons and total nuclear charge . We prove that under some suitable a…
On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics
Heinz Siedentop
We show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the Müller functional and bounded from above by the Hartree-F…
Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals
Rafael D. Benguria, Heinz Siedentop
We bound the number of electrons that an atom can bind in excess of neutrality for density functionals generalizing the classical Thomas-Fermi-Weizsäcker functional: instead of…
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
Long Meng, Heinz Siedentop
We study atomic ground state energies for neutral atoms as the nuclear charge is large in the no-pair formalism. We show that for a large class of projections defining the unde…
Relativistic Exchange Bounds
Long Meng, Heinz Siedentop, Matthias Tiefenbeck
We collect estimates of the exchange energy of the relativistic no-pair Hartree-Fock and Müller functional and use them to show the existence of a minimizer and stability of matter…
Das asymptotische Verhalten der Grundzustandsenergie des Muellerfunktionals fuer schwere Atome
Heinz Siedentop
The ground state energy of the Mueller functional of large (neutral) atoms of atomic number Z agrees with the quantum mechanical ground state energy up to order o(Z to the 5/3). --…