Covariant Evolution Combined with Electron Correlation

  • Ingvar LindgrenEmail author
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 63)


In Part I, we have considered some standard methods for many-body calculations on atomic systems. These methods are well developed and can treat certain electron-correlation effects to essentially all orders of perturbation theory. In Part II, we have considered three different methods for numerical QED calculations on bound systems, which have been successfully applied to various problems. All these methods are, however, in practice limited to one- and two-photon exchange, implying that electron correlation can only be treated in quite a restricted way. For many systems the electron correlation is of great importance, and to evaluate the QED effects accurately, it may be necessary to take into account also the combination of QED and correlational effects, which has not been done previously.


  1. 1.
    Brown, G.E., Ravenhall, D.G.: On the Interaction of Two electrons. Proc. R. Soc. London, Ser. A 208, 552–59 (1951)Google Scholar
  2. 2.
    Hedendahl, D.: Towards a Relativistic Covariant Many-Body Perturbation Theory. Ph.D. thesis, University of Gothenburg, Gothenburg, Sweden (2010)Google Scholar
  3. 3.
    Hedendahl, D., Salomonson, S., Lindgren, I.:. Phys. Rev. p. (to be published) (2011)Google Scholar
  4. 4.
    Lindgren, I., Morrison, J.: Atomic Many-Body Theory. Second edition, Springer-Verlag, Berlin (1986, reprinted 2009)Google Scholar
  5. 5.
    Lindgren, I., Salomonson, S., Hedendahl, D.: Many-body-QED perturbation theory: Connection to the two-electron Bethe-Salpeter equation. Einstein centennial review paper. Can. J. Phys. 83, 183–218 (2005)Google Scholar
  6. 6.
    Lindgren, I., Salomonson, S., Hedendahl, D.: Many-body procedure for energy-dependent perturbation: Merging many-body perturbation theory with QED. Phys. Rev. A 73, 062,502 (2006)Google Scholar
  7. 7.
    Lindgren, I., Salomonson, S., Hedendahl, D.: Coupled clusters and quantum electrodynamics. In: P. Čársky, J. Paldus, J. Pittner (eds.) Recent Progress in Coupled Cluster Methods: Theory and Applications, pp. 357–374. Springer Verlag (2010)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of GothenburgGöteborgSweden

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