The increase of Binding Energy and Enhanced Binding in Non-Relativistic QED

TL;DR

This paper investigates how coupling a particle to a photon field in non-relativistic QED increases binding energy and enhances binding, demonstrating these effects stem from the ground state of the self-energy operator at zero total momentum.

Contribution

It proves that increased binding energy and enhanced binding are due to the existence of the ground state of the self-energy operator at zero total momentum in non-relativistic QED.

Findings

Binding energy increases with photon coupling.

Enhanced binding occurs due to photon interactions.

Ground state existence at zero momentum explains these effects.

Abstract

We consider a Pauli-Fierz Hamiltonian for a particle coupled to a photon field. We discuss the effects of the increase of the binding energy and enhanced binding through coupling to a photon field, and prove that both effects are the results of the existence of the ground state of the self-energy operator with total momentum $P = 0$.