Singularity analysis of fourth-order Møller-Plesset perturbation theory

David Z. Goodson, Alexey V. Sergeev

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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
Volume359
Issue number5
DOIs
Publication statusPublished - 4 Dec 2006
Externally publishedYes

Fingerprint

perturbation theory
perturbation
conformal mapping
quantum chemistry
energy

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Singularity analysis of fourth-order Møller-Plesset perturbation theory. / Goodson, David Z.; Sergeev, Alexey V.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 359, No. 5, 04.12.2006, p. 481-486.

Research output: Contribution to journalArticle

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