Existence of a ground state for the confined hydrogen atom in non-relativistic QED

Journal Article · Thu Apr 03 00:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2915636· OSTI ID:21137049

Amour, Laurent ^[1]; Faupin, Jeremy ^[1]

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1. Laboratoire de Mathematiques EDPPM, UMR-CNRS 6056, Universite de Reims, Moulin de la Housse-BP 1039, 51687 REIMS Cedex 2 (France)

We consider a system of a hydrogen atom interacting with the quantized electromagnetic field. Instead of fixing the nucleus, we assume that the system is confined by its center of mass. This model is used in theoretical physics to explain the Lamb-Dicke effect. After a brief review of the literature, we explain how to verify some properly chosen binding conditions which lead to the existence of a ground state for our model, and for all values of the fine-structure constant.

• OSTI ID: 21137049
• Journal Information: AIP Conference Proceedings, Vol. 998, Issue 1; Conference: Joint physics/mathematics workshop on quantum few-body systems, Arhus (Denmark), 19-20 Mar 2007; Other Information: DOI: 10.1063/1.2915636; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
ELECTROMAGNETIC FIELDS
FINE STRUCTURE
GROUND STATES
HILBERT SPACE
HYDROGEN
LAMB SHIFT
NUCLEI
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
REVIEWS