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
Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit
Danko Aldunate, Juan Manuel González-Brantes, Hanne Van Den Bosch
In this paper, we derive new results on the asymptotic behavior of eigenvalues of perturbed one-dimensional massive Dirac operators in the weak coupling limit. Two classes of poten…
math-ph2022
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…