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The Hydrogen Atom pp 746–752Cite as

The Two-Time Green’s Function and Screened Self-Energy for Two-Electron Quasi-Degenerate States

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

Abstract

Precise predictions of atomic energy levels require the use of QED, especially in highly-charged ions, where the inner electrons have relativistic velocities. We present an overview of the two-time Green’s function method; this method allows one to calculate level shifts in two-electron highly-charged ions by including in principle all QED effects, for any set of states (degenerate, quasi-degenerate or isolated). We present an evaluation of the contribution of the screened self-energy to a finite-sized effective hamiltonian that yields the energy levels through diagonalization.

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Author information

Authors and Affiliations

  1. Laboratoire Kastler-Brossel, Case 74, ÉNS et Université P. et M. Curie Unité Mixte de Recherche du CNRS n° C8552, 4, pl. Jussieu, 75252, Paris CEDEX 05, France

    Le Bigot Éric-Olivier & Paul Indelicato

  2. Department of Physics, St. Petersburg State University, Oulianovskaya 1, Petrodvorets, St. Petersburg, Russia

    Vladimir M. Shabaev

Authors
  1. Le Bigot Éric-Olivier
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  2. Paul Indelicato
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  3. Vladimir M. Shabaev
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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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Éric-Olivier, L.B., Indelicato, P., Shabaev, V.M. (2001). The Two-Time Green’s Function and Screened Self-Energy for Two-Electron Quasi-Degenerate States. 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_54

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  • DOI: https://doi.org/10.1007/3-540-45395-4_54

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41935-8

  • Online ISBN: 978-3-540-45395-6

  • eBook Packages: Springer Book Archive

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