Analytic bound on the excess charge for the Hartree Model

TL;DR

This paper establishes a mathematical bound on the excess charge in the Hartree model for atoms, providing theoretical insights into the model's charge distribution limits.

Contribution

It introduces a new analytic bound on excess charge specifically for the Hartree equation in atomic systems, advancing theoretical understanding.

Findings

Proved an analytic bound on excess charge in the Hartree model

Enhanced understanding of charge distribution limits in atomic Hartree systems

Provides a theoretical foundation for further studies in atomic models

Abstract

We prove an analytic bound on the excess charge for the Hartree equation in the atomic case.