4 citations · 6 across the 3 of their papers we have counts for
6 papers
The Magnetic Scott Correction for Relativistic Matter at Criticality
Gonzalo Bley, Søren Fournais
We provide a proof of the first correction to the leading asymptotics of the minimal energy of pseudo-relativistic molecules in the presence of magnetic fields, the so-called "rela…
Hardy-Lieb-Thirring Inequalities for Fractional Pauli Operators
Gonzalo A. Bley, Søren Fournais
We provide lower bounds for the sum of the negative eigenvalues of the operator in three dimensions, where , covering the intere…
Absence of Binding in the Nelson and Piezoelectric Polaron Models
Gonzalo A. Bley
In the context of the massless Nelson model, we prove that two non-relativistic nucleons interacting with a massless meson field do not bind when a sufficiently strong Coulomb repu…
A Lower Bound on the Renormalized Nelson Model
Gonzalo A. Bley
We provide explicit lower bounds for the ground-state energy of the renormalized Nelson model in terms of the coupling constant and the number of particles , uniform in the…
Estimates on Functional Integrals of Quantum Mechanics and Non-Relativistic Quantum Field Theory
Gonzalo A. Bley, Lawrence E. Thomas
We provide a unified method for obtaining upper bounds for certain functional integrals appearing in quantum mechanics and non-relativistic quantum field theory, functionals of the…
A new estimate on the indirect Coulomb Energy
Rafael D. Benguria, Gonzalo Bley, Michael Loss
We prove a new lower bound on the indirect Coulomb energy in quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternativ…