Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state
Mathematical Physics
2015-06-03 v1 math.MP
Spectral Theory
Abstract
We consider a free hydrogen atom composed of a spin-1/2 nucleus and a spin-1/2 electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associated with this system at a fixed total momentum. For small enough values of the fine-structure constant, we prove that the ground state is unique. This result reflects the hyperfine structure of the hydrogen atom ground state.
Keywords
Cite
@article{arxiv.1112.0413,
title = {Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state},
author = {Laurent Amour and Jérémy Faupin},
journal= {arXiv preprint arXiv:1112.0413},
year = {2015}
}
Comments
22 pages, 3 figures