95 citations · 645 across the 59 of their papers we have counts for
62 papers
Bound on the excess charge for bosonic systems interacting through Coulomb potentials
Rafael D. Benguria, Juan Manuel González-Brantes
We prove an upper bound on the excess charge for non-relativistic atomic systems, independent of the particle statistics. This result improves Lieb's bound of 1984 for any $Z \ge 1…
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…
A Block-diagonal form for four-component operators describing Graphene Quantum Dots
Rafael D. Benguria, Edgardo Stockmeyer, Cristóbal Vallejos +1
We consider four-component Dirac operators on domains in the plane. With suitable boundary conditions, these operators describe graphene quantum dots. The most general boundary con…
The Hadamard formula and the Rayleigh-Faber-Krahn inequality for nonlocal eigenvalue problems
Rafael D. Benguria, Mariel Sáez, Marcone C. Pereira
In this paper we obtain a Hadamard type formula for simple eigenvalues and an analog to the Rayleigh-Faber-Krahn inequality for a class of nonlocal eigenvalue problems. Such class…
New bounds on the excess charge for atomic systems
Rafael D. Benguria, Juan Manuel Gonzalez-Brantes, Trinidad Tubino
In this manuscript, using a technique introduced by P.~T.~Nam in 2012 and the {\it Coulomb Uncertainty Principle}, we prove new bounds on the excess charge for non relativistic ato…
Analytic bound on the excess charge for the Hartree Model
Rafael D. Benguria, Trinidad Tubino
We prove an analytic bound on the excess charge for the Hartree equation in the atomic case.