The self-energy of one electron in non relativistic QED
Catto, Isabelle; Hainzl, Christian (2004), The self-energy of one electron in non relativistic QED, Journal of Functional Analysis, 207, 1, p. 68-110. http://dx.doi.org/10.1016/S0022-1236(03)00064-8
TypeArticle accepté pour publication ou publié
Journal nameJournal of Functional Analysis
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Abstract (EN)We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed previously by Hainzl. We fix an arbitrary cutoff parameter $\Lambda$ and recover the $\alpha^2$-term of the self-energy, where $\alpha$ is the coupling parameter representing the fine structure constant. Thereby we develop a method which allows to expand the self-energy up to any power of $\alpha$. This implies that perturbation theory in $\alpha$ is correct if $\Lambda$ is fix. As an immediate consequence we obtain enhanced binding for electrons.
Subjects / KeywordsAnalysis of PDEs
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A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics Solovej, Jan Philip; Séré, Eric; Lewin, Mathieu; Hainzl, Christian (2007-06) Article accepté pour publication ou publié