Binding conditions for atomic N-electron systems in non-relativistic QED

TL;DR

This paper investigates the conditions under which atoms remain bound in non-relativistic quantum electrodynamics and proves the existence of a ground state for helium.

Contribution

It establishes binding conditions in non-relativistic QED and proves the existence of a ground state for helium, advancing understanding of atomic stability.

Findings

Removing an electron costs positive energy

Ground state existence for helium is proven

Binding conditions are characterized in non-relativistic QED

Abstract

We examine the binding conditions for atoms in non-relativistic QED, and prove that removing one electron from an atom requires a positive energy. As an application, we establish the existence of a ground state for the Helium atom.