Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case

TL;DR

This paper provides precise quantitative estimates of the hydrogen binding energy within the Pauli-Fierz model incorporating spin effects, up to the third order in the fine-structure constant.

Contribution

It extends previous work by including spin Zeeman terms and calculating the binding energy up to order alpha cubed.

Findings

Binding energy calculated up to order alpha cubed.

Inclusion of spin Zeeman effects in the model.

Enhanced accuracy in hydrogen energy estimates.

Abstract

The hydrogen binding energy in the Pauli-Fierz model with the spin Zeeman term is determined up to the order alpha cube, where alpha denotes the fine-structure constant.