Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brown, G.E., Ravenhall, D.G.: On the Interaction of Two electrons. Proc. R. Soc. London, Ser. A 208, 552–59 (1951)
Hedendahl, D.: Towards a Relativistic Covariant Many-Body Perturbation Theory. Ph.D. thesis, University of Gothenburg, Gothenburg, Sweden (2010)
Hedendahl, D., Salomonson, S., Lindgren, I.:. Phys. Rev. p. (to be published) (2011)
Lindgren, I., Morrison, J.: Atomic Many-Body Theory. Second edition, Springer-Verlag, Berlin (1986, reprinted 2009)
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)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Lindgren, I. (2011). Covariant Evolution Combined with Electron Correlation. In: Relativistic Many-Body Theory. Springer Series on Atomic, Optical, and Plasma Physics, vol 63. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8309-1_8
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8309-1_8
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-8308-4
Online ISBN: 978-1-4419-8309-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)