---
_id: '18472'
abstract:
- lang: eng
  text: Many-body perturbation theory is a well-established ab initio electronic-structure
    method based on Green functions. Although computationally more demanding than
    density functional theory, it has the distinct advantage that the exact expressions
    for all relevant observables, including the ground-state total energy, in terms
    of the Green function are known explicitly. The most important application, however,
    lies in the calculation of excited states, whose energies correspond directly
    to the poles of the Green function in the complex frequency plane. The accuracy
    of results obtained within this framework is only limited by the choice of the
    exchange-correlation self-energy, which must still be approximated in actual implementations.
    In this respect, the GW approximation has proved highly successful for systems
    governed by the Coulomb interaction. It yields band structures of solids, including
    the band gaps of semiconductors, as well as atomic and molecular ionization energies
    in very good quantitative agreement with experimental photoemission data.
author:
- first_name: Arno
  full_name: Schindlmayr, Arno
  id: '458'
  last_name: Schindlmayr
  orcid: 0000-0002-4855-071X
citation:
  ama: 'Schindlmayr A. The GW approximation for the electronic self-energy. In: Bach
    V, Delle Site L, eds. <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>.
    Vol 29.  Mathematical Physics Studies. Springer; 2014:343-357. doi:<a href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>'
  apa: Schindlmayr, A. (2014). The GW approximation for the electronic self-energy.
    In V. Bach &#38; L. Delle Site (Eds.), <i>Many-Electron Approaches in Physics,
    Chemistry and Mathematics</i> (Vol. 29, pp. 343–357). Springer. <a href="https://doi.org/10.1007/978-3-319-06379-9_19">https://doi.org/10.1007/978-3-319-06379-9_19</a>
  bibtex: '@inbook{Schindlmayr_2014, place={Cham}, series={ Mathematical Physics Studies},
    title={The GW approximation for the electronic self-energy}, volume={29}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>},
    booktitle={Many-Electron Approaches in Physics, Chemistry and Mathematics}, publisher={Springer},
    author={Schindlmayr, Arno}, editor={Bach, Volker and Delle Site, Luigi}, year={2014},
    pages={343–357}, collection={ Mathematical Physics Studies} }'
  chicago: 'Schindlmayr, Arno. “The GW Approximation for the Electronic Self-Energy.”
    In <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>, edited
    by Volker Bach and Luigi Delle Site, 29:343–57.  Mathematical Physics Studies.
    Cham: Springer, 2014. <a href="https://doi.org/10.1007/978-3-319-06379-9_19">https://doi.org/10.1007/978-3-319-06379-9_19</a>.'
  ieee: 'A. Schindlmayr, “The GW approximation for the electronic self-energy,” in
    <i>Many-Electron Approaches in Physics, Chemistry and Mathematics</i>, vol. 29,
    V. Bach and L. Delle Site, Eds. Cham: Springer, 2014, pp. 343–357.'
  mla: Schindlmayr, Arno. “The GW Approximation for the Electronic Self-Energy.” <i>Many-Electron
    Approaches in Physics, Chemistry and Mathematics</i>, edited by Volker Bach and
    Luigi Delle Site, vol. 29, Springer, 2014, pp. 343–57, doi:<a href="https://doi.org/10.1007/978-3-319-06379-9_19">10.1007/978-3-319-06379-9_19</a>.
  short: 'A. Schindlmayr, in: V. Bach, L. Delle Site (Eds.), Many-Electron Approaches
    in Physics, Chemistry and Mathematics, Springer, Cham, 2014, pp. 343–357.'
date_created: 2020-08-27T21:11:43Z
date_updated: 2025-12-16T08:05:25Z
ddc:
- '530'
department:
- _id: '296'
- _id: '35'
- _id: '15'
- _id: '170'
- _id: '230'
doi: 10.1007/978-3-319-06379-9_19
editor:
- first_name: Volker
  full_name: Bach, Volker
  last_name: Bach
- first_name: Luigi
  full_name: Delle Site, Luigi
  last_name: Delle Site
file:
- access_level: closed
  content_type: application/pdf
  creator: schindlm
  date_created: 2020-08-28T15:25:10Z
  date_updated: 2020-08-30T14:50:18Z
  description: © 2014 Springer International Publishing, Switzerland
  file_id: '18585'
  file_name: Schindlmayr2014_Chapter_TheGWApproximationForTheElectr.pdf
  file_size: 309579
  relation: main_file
  title: The GW approximation for the electronic self-energy
file_date_updated: 2020-08-30T14:50:18Z
has_accepted_license: '1'
intvolume: '        29'
language:
- iso: eng
page: 343-357
place: Cham
publication: Many-Electron Approaches in Physics, Chemistry and Mathematics
publication_identifier:
  eisbn:
  - 978-3-319-06379-9
  eissn:
  - 2352-3905
  isbn:
  - 978-3-319-06378-2
  issn:
  - 0921-3767
publication_status: published
publisher: Springer
quality_controlled: '1'
series_title: ' Mathematical Physics Studies'
status: public
title: The GW approximation for the electronic self-energy
type: book_chapter
user_id: '16199'
volume: 29
year: '2014'
...