On the Lifetime of Quasi-Stationary States in Non-Relativistic QED

TL;DR

This paper investigates the lifetime of quasi-stationary states in non-relativistic quantum electrodynamics using the Pauli-Fierz model, providing bounds on their stability.

Contribution

It introduces modified analytical techniques to establish bounds on the lifetime of resonances in the Pauli-Fierz model of non-relativistic QED.

Findings

Derived upper bounds on state lifetimes

Established lower bounds on state lifetimes

Enhanced existing analysis methods for resonance stability

Abstract

We consider resonances in the Pauli-Fierz model of non-relativistic QED. We use and slightly modify the analysis developed by Bach, Froehlich, and Sigal to obtain an upper and lower bound on the lifetime of quasi-stationary states.