Hyperfine Splitting in Non-relativistic QED: Uniqueness of the Dressed Hydrogen Atom Ground State |
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| Authors: | Laurent Amour Jérémy Faupin |
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| Institution: | 1. Laboratoire de Mathématiques, FR-CNRS 3399, Université de Reims, Moulin de la Housse, BP 1039, 51687, Reims Cedex 2, France
2. Institut de Mathématiques de Bordeaux, UMR-CNRS 5251, Université de Bordeaux 1, 351 Cours de la Libération, 33405, Talence Cedex, France
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| Abstract: | We consider a free hydrogen atom composed of a spin- ${\frac{1}{2}}$ nucleus and a spin- ${\frac{1}{2}}$ 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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