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L'ion hydrogénoïde confiné en électrodynamique quantique non relativiste. Effet Lamb-Dicke.

Abstract : We consider a hydrogenoïd ion (one nucleus and one electron) interacting with the quantized electromagnetic field in the standard mathematical model of non-relativistic quantum electrodynamics. Rather than treating the nucleus as static, we only assume that the center of mass of the ion is confined by a potential. This assumption is used in theoretical Physics to explain the Lamb-Dicke effect. On one hand, by establishing some suitably chosen binding conditions, we prove the existence of a ground state for the Pauli-Fierz Hamiltonian associated with the model, for all values of the coupling constant. On the other hand, adapting the renormalization group method developed by V. Bach, J. Fröhlich and I. M. Sigal, we obtain the existence of resonances for a regularized model, for sufficiently small values of the coupling constant.
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https://tel.archives-ouvertes.fr/tel-00189236
Contributor : Jérémy Faupin <>
Submitted on : Tuesday, November 20, 2007 - 3:30:50 PM
Last modification on : Thursday, January 30, 2020 - 3:54:05 PM
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Jérémy Faupin. L'ion hydrogénoïde confiné en électrodynamique quantique non relativiste. Effet Lamb-Dicke.. Mathématiques [math]. Université de Reims - Champagne Ardenne, 2007. Français. ⟨tel-00189236⟩

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