### Abstract

For certain eigenvalue problems which lead to divergent Rayleigh-Schrödinger perturbation series, energy estimates of acceptable accuracy may be obtained easily in first order by optimising a variational scale factor. Some simple calculations on the quartic anharmonic oscillator and on the quadratic Zeeman effect show errors which are generally quite small over a very wide range of perturbation parameter values.

Original language | English |
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Pages (from-to) | 295-298 |

Number of pages | 4 |

Journal | Chemical Physics Letters |

Volume | 105 |

Issue number | 3 |

Publication status | Published - 16 Mar 1984 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Surfaces and Interfaces
- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics
- Spectroscopy
- Physical and Theoretical Chemistry

### Cite this

*Chemical Physics Letters*,

*105*(3), 295-298.

**Scaling, renormalisation and accuracy of perturbation calculations.** / Cohen, M.; Kais, S.

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 105, no. 3, pp. 295-298.

}

TY - JOUR

T1 - Scaling, renormalisation and accuracy of perturbation calculations

AU - Cohen, M.

AU - Kais, S.

PY - 1984/3/16

Y1 - 1984/3/16

N2 - For certain eigenvalue problems which lead to divergent Rayleigh-Schrödinger perturbation series, energy estimates of acceptable accuracy may be obtained easily in first order by optimising a variational scale factor. Some simple calculations on the quartic anharmonic oscillator and on the quadratic Zeeman effect show errors which are generally quite small over a very wide range of perturbation parameter values.

AB - For certain eigenvalue problems which lead to divergent Rayleigh-Schrödinger perturbation series, energy estimates of acceptable accuracy may be obtained easily in first order by optimising a variational scale factor. Some simple calculations on the quartic anharmonic oscillator and on the quadratic Zeeman effect show errors which are generally quite small over a very wide range of perturbation parameter values.

UR - http://www.scopus.com/inward/record.url?scp=48749136166&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48749136166&partnerID=8YFLogxK

M3 - Article

VL - 105

SP - 295

EP - 298

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 3

ER -