3 papers
math-ph2025
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…
math-ph2025
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…
math-ph2025
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 o…