Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state

Details Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state Hyperfine splitting in non-relativistic QED: uniqueness of the dressed hydrogen atom ground state

2011-12-02

arxiv.org/abs/1112.0413v1

Physics

Mathematical Physics

22 pages, 3 figures

Scientific paper

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.

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