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The Hydrogen Atom pp 619–636Cite as

Second-Order Self-Energy Calculations for Tightly Bound Electrons in Hydrogen-Like Ions

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Part of the book series: Lecture Notes in Physics ((LNP,volume 570))

Abstract

The second-order electron self-energy is evaluated to all orders in the interaction with the Coulomb field of the nucleus for the ground state of hydrogen-like uranium ions. This completes the nonperturbative calculation of radiative corrections of order α2. The major theoretical uncertainty is eliminated which provides predictions of the ground-state energy with a relative accuracy of about 10-6 for the uranium system. This allows for high-precision tests of QED in the strong field of the nucleus that are expected to be available experimentally in the near future.

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Author information

Authors and Affiliations

  1. St. Petersburg State University, 198904, St. Petersburg, Russia

    Igor A. Goidenko & Leonti N. Labzowsky

  2. Petersburg Nuclear Physics Institute, 188350, St. Petersburg, Gatchina, Russia

    Andrei V. Nefiodov

  3. Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstrasse 13, 01062, Dresden, Germany

    Günter Plunien, Sven Zschocke & Gerhard Soff

Authors
  1. Igor A. Goidenko
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  2. Leonti N. Labzowsky
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  3. Andrei V. Nefiodov
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  4. Günter Plunien
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  5. Sven Zschocke
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  6. Gerhard Soff
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Editor information

Editors and Affiliations

  1. D.I. Mendeleev Institute for Metrology, 198005, St. Petersburg, Russia

    Savely G. Karshenboim

  2. MPI for Quantum Optics, 85748, Garching, Germany

    Savely G. Karshenboim  & T.W. Hänsch  & 

  3. Scuola Normale Superiore, Piazza dei Cavalieri, Pisa, Italy

    F. Bassani

  4. Dept.of Physics, University of Perugia, Perugia, Italy

    F.S. Pavone

  5. LENS and INFM, University of Florence, 50125, Florence, Italy

    F.S. Pavone

  6. Dept. of Physics and LENS, University of Florence, Florence, Italy

    M. Inguscio

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© 2001 Springer-Verlag Berlin Heidelberg

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Goidenko, I.A., Labzowsky, L.N., Nefiodov, A.V., Plunien, G., Zschocke, S., Soff, G. (2001). Second-Order Self-Energy Calculations for Tightly Bound Electrons in Hydrogen-Like Ions. In: Karshenboim, S.G., Bassani, F., Pavone, F., Inguscio, M., Hänsch, T. (eds) The Hydrogen Atom. Lecture Notes in Physics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45395-4_43

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  • DOI: https://doi.org/10.1007/3-540-45395-4_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41935-8

  • Online ISBN: 978-3-540-45395-6

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