Analytic bound on the excess charge for the Hartree Model
Mathematical Physics
2022-02-01 v1 Analysis of PDEs
math.MP
Abstract
We prove an analytic bound on the excess charge for the Hartree equation in the atomic case.
Cite
@article{arxiv.2201.13421,
title = {Analytic bound on the excess charge for the Hartree Model},
author = {Rafael D. Benguria and Trinidad Tubino},
journal= {arXiv preprint arXiv:2201.13421},
year = {2022}
}
Related papers
View all related →
Mathematical Physics · Physics
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory
Anna Dall'Acqua, Jan Philip Solovej
2010-11-12
Mathematical Physics · Physics
Bound on the excess charge for bosonic systems interacting through Coulomb potentials
Rafael D. Benguria, Juan Manuel González-Brantes
2025-11-12
Mathematical Physics · Physics
The Ionization Conjecture in Hartree-Fock Theory
Jan Philip Solovej
2007-05-23
Mathematical Physics · Physics
Bound on the Excess Charge of Generalized Thomas-Fermi-Weizs\"acker Functionals
Rafael D. Benguria, Heinz Siedentop
2025-02-24
Mathematical Physics · Physics
On the Excess Charge Problem of Atoms
Dirk Hundertmark, Nikolaos Pattakos, Marvin Raimund Schulz
2025-04-28
Mathematical Physics · Physics
The maximal excess charge in reduced Hartree-Fock molecule
Yukimi Goto
2021-04-20
Mathematical Physics · Physics
New bounds on the excess charge for atomic systems
Rafael D. Benguria, Juan Manuel Gonzalez-Brantes, Trinidad Tubino
2025-11-05
Mesoscale and Nanoscale Physics · Physics
Surface charge theorem and topological constraints for edge states: An analytical study of one-dimensional nearest-neighbor tight-binding models
Mikhail Pletyukhov, Dante M. Kennes, Jelena Klinovaja, Daniel Loss +1
2020-04-14
Analysis of PDEs · Mathematics
Weighted analyticity of Hartree-Fock eigenfunctions
Yvon Maday, Carlo Marcati
2020-10-15
Complex Variables · Mathematics
Computation of Analytic Capacity and applications to the Subadditivity Problem
Malik Younsi, Thomas Ransford
2015-12-17
Mathematical Physics · Physics
The maximal excess charge in M\"uller density-matrix-functional theory
Rupert L. Frank, Phan Thành Nam, Hanne Van Den Bosch
2016-08-22
General Relativity and Quantum Cosmology · Physics
Entropy bound for a charged object from the Kerr-Newman black hole
B. Linet
2015-06-25
Mathematical Physics · Physics
Binding of atoms in M\"uller theory
Yukimi Goto
2019-04-25
Atomic Physics · Physics
Semi-classical Over Barrier Model for low-velocity ion-atom charge exchange processes
F. Sattin
2007-05-23
Combinatorics · Mathematics
On multiplicative energy of subsets of varieties
Ilya D. Shkredov
2021-01-26
Strongly Correlated Electrons · Physics
Charge orderings in the atomic limit of the extended Hubbard model
G. Pawlowski
2009-11-13
Atomic Physics · Physics
Using stochastic acceleration to place experimental limits on the charge of antihydrogen
M. Baquero-Ruiz, A. E. Charman, J. Fajans, A. Little +4
2014-08-07
Analysis of PDEs · Mathematics
On higher order boundary Harnack and analyticity of free boundaries
Chilin Zhang
2024-09-27
Strongly Correlated Electrons · Physics
Analytical solution of open crystalline linear 1D tight-binding models
A. M Marques, R. G. Dias
2020-01-29
Atomic Physics · Physics
Parameterized optimized effective potential for atoms
A. Sarsa, F. J. Galvez, E. Buendia
2007-05-23
Soft Condensed Matter · Physics
Analytical estimate of effective charges at saturation in Poisson-Boltzmann cell models
Emmanuel Trizac, Miguel Aubouy, Lyderic Bocquet
2009-11-07
Mathematical Physics · Physics
The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion
Michael K. -H. Kiessling
2013-08-09
Chaotic Dynamics · Physics
Complexity in atoms: an approach with a new analytical density
Jaime Sanudo, Ricardo Lopez-Ruiz
2008-06-12
Mathematical Physics · Physics
Binding energies of semirelativistic N-boson systems
Richard L. Hall, Wolfgang Lucha
2008-11-26
General Relativity and Quantum Cosmology · Physics
Improved Upper Bound to the Entropy of a Charged System
Shahar Hod
2009-10-31