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

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          Abstract

          We consider a spin-1/2 electron and a spin-1/2 nucleus interacting with the quantized electromagnetic field in the standard model of non-relativistic QED. For a fixed total momentum sufficiently small, we study the multiplicity of the ground state of the reduced Hamiltonian. We prove that the coupling between the spins of the charged particles and the electromagnetic field splits the degeneracy of the ground state.

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          Ground States in Non-relativistic Quantum Electrodynamics

          The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state--one that minimizes the energy and satisfies the Schr\"odinger equation. We prove quite generally that this state exists for {\it all values} of the fine-structure constant and ultraviolet cutoff. We also show the same thing for a many-particle system under physically natural conditions.
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            Spectral Analysis for Systems of Atoms and Molecules Coupled to the Quantized Radiation Field

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              One-particle (improper) States in Nelson’s Massless Model

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                Author and article information

                Journal
                05 January 2010
                Article
                10.1142/S0129055X11004369
                1001.0713
                ac67a66e-912d-4784-97d3-202bec1f22e2

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                22 pages
                math-ph math.MP

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