65 citations · 119 across the 8 of their papers we have counts for
4 papers · 1 filter
The maximal excess charge in Müller density-matrix-functional theory
Rupert L. Frank, Phan Thành Nam, Hanne Van Den Bosch
We consider an atom described by Müller theory, which is similar to Hartree-Fock theory, but with a modified exchange term. We prove that a nucleus of charge Z can bind at most Z+C…
The ionization conjecture in Thomas-Fermi-Dirac-von Weizsäcker theory
Rupert L. Frank, Phan Thành Nam, Hanne Van Den Bosch
We prove that in Thomas-Fermi-Dirac-von Weizsäcker theory, a nucleus of charge can bind at most electrons, where is a universal constant. This result is obtained th…
Nonexistence in Thomas-Fermi-Dirac-von Weizsäcker theory with small nuclear charges
Phan Thành Nam, Hanne Van Den Bosch
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the…
Spectral gaps of Dirac operators describing graphene quantum dots
Rafael D. Benguria, Søren Fournais, Edgardo Stockmeyer +1
The two-dimensional Dirac operator describes low-energy excitations in graphene. Different choices for the boundary conditions give rise to qualitative differences in the spectrum…