Singularity analysis of fourth-order Møller-Plesset perturbation theory

David Z. Goodson, Alexey V. Sergeev

Research output: Contribution to journalArticle

6 Citations (Scopus)


The usefulness of Møller-Plesset perturbation theory, a standard technique of quantum chemistry, is determined by singularities in the corresponding energy function in the complex plane of the perturbation parameter. A method is developed that locates singularities from fourth-order perturbation series, using quadratic approximants with bilinear conformal mappings.

Original languageEnglish
Pages (from-to)481-486
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5
Publication statusPublished - 4 Dec 2006
Externally publishedYes



  • Asymptotic series
  • Møller-Plesset perturbation theory
  • Many-body perturbation theory
  • Quadratic summation approximants
  • Singularity analysis

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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