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Relativistic and Non-Relativistic Many-Body Procedure, Applied to Atomic Systems

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Aspects of Many-Body Effects in Molecules and Extended Systems

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 50))

Abstract

A review is given of the non-relativistic many-body perturbation theory (MBPT), emphasizing the diagrammatic expansion and the all-order procedures, such as the coupled-cluster approach. Illustrative numerical examples are given. More recent formal developments, concerning incomplete model space and hermitian effective hamiltonian, are also mentioned. Various approximate schemes currently in use for relativistic many-body calculations are discussed and analysed from the point of QED. The “no-virtual-pair approximation”, which contains the all-order non-relativistic MBPT as well as the leading relativistic corrections, is applied to He-like systems. Possibilities are discussed of going beyond that scheme for general many-electron systems in a rigorous and systematic way.

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Author information

Authors and Affiliations

  1. Department of Physics, Chalmers University of Technology, S-41296, Göteborg, Sweden

    Ingvar Lindgren

  2. Institute for Theoretical Physics, University of California, Santa Barbara, California, 93106, USA

    Ingvar Lindgren

Authors
  1. Ingvar Lindgren
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Editor information

Editors and Affiliations

  1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Calcutta, 700-032, India

    D. Mukherjee

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© 1989 Springer-Verlag Berlin Heidelberg

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Lindgren, I. (1989). Relativistic and Non-Relativistic Many-Body Procedure, Applied to Atomic Systems. In: Mukherjee, D. (eds) Aspects of Many-Body Effects in Molecules and Extended Systems. Lecture Notes in Chemistry, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61330-2_20

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  • DOI: https://doi.org/10.1007/978-3-642-61330-2_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50765-9

  • Online ISBN: 978-3-642-61330-2

  • eBook Packages: Springer Book Archive

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