### 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 language | English |
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Pages (from-to) | 481-486 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 359 |

Issue number | 5 |

DOIs | |

Publication status | Published - 4 Dec 2006 |

Externally published | Yes |

### Fingerprint

### 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

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*359*(5), 481-486. https://doi.org/10.1016/j.physleta.2006.06.071

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

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 359, no. 5, pp. 481-486. https://doi.org/10.1016/j.physleta.2006.06.071

}

TY - JOUR

T1 - Singularity analysis of fourth-order Møller-Plesset perturbation theory

AU - Goodson, David Z.

AU - Sergeev, Alexey V.

PY - 2006/12/4

Y1 - 2006/12/4

N2 - 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.

AB - 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.

KW - Asymptotic series

KW - Møller-Plesset perturbation theory

KW - Many-body perturbation theory

KW - Quadratic summation approximants

KW - Singularity analysis

UR - http://www.scopus.com/inward/record.url?scp=33749506573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749506573&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2006.06.071

DO - 10.1016/j.physleta.2006.06.071

M3 - Article

VL - 359

SP - 481

EP - 486

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 5

ER -