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An Infrared-Finite Algorithm for Rayleigh Scattering Amplitudes, and Bohr's Frequency Condition

Bach, Volker ; Fröhlich, Jürg ; Pizzo, Alessandro

In: Communications in Mathematical Physics, 2007, vol. 274, no. 2, p. 457-486

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    Titre
    • An Infrared-Finite Algorithm for Rayleigh Scattering Amplitudes, and Bohr's Frequency Condition
    Auteur
    • Bach, Volker. FB Mathematik, Universität Mainz, D-55099, Mainz, Germany
    • Fröhlich, Jürg. Inst. f. Theoretische Physik, ETH Hönggerberg, CH-8093, Zürich, Switzerland
    • Pizzo, Alessandro. Inst. f. Theoretische Physik, ETH Hönggerberg, CH-8093, Zürich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Communications in Mathematical Physics, 2007, vol. 274, no. 2, p. 457-486. Springer-Verlag
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:312304
    Summary
    In this paper, we rigorously justify Bohr's frequency condition in atomic spectroscopy. Moreover, we construct an algorithm enabling us to calculate the transition amplitudes for Rayleigh scattering of light at an atom, up to a remainder term of arbitrarily high order in the finestructure constant. Our algorithm is constructive and circumvents the infrared divergences that invalidate standard perturbation theory