Non analyticity of the ground state energy of the Hamiltonian for Hydrogen atom in nonrelativistic QED
Résumé
We derive the ground state energy up to the fourth order in the fine structure constant for the translation invariant Pauli-Fierz Hamiltonian for a spinless electron coupled to the quantized radiation field. As a consequence, we obtain the non-analyticity of the ground state energy of the Pauli-Fierz operator for a single particle in the Coulomb field of a nucleus.
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