Scaling, renormalisation and accuracy of perturbation calculations

M. Cohen, S. Kais

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)295-298
Number of pages4
JournalChemical Physics Letters
Volume105
Issue number3
Publication statusPublished - 16 Mar 1984
Externally publishedYes

Fingerprint

scaling
perturbation
Zeeman effect
eigenvalues
oscillators
estimates
energy

ASJC Scopus subject areas

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

Cite this

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

In: Chemical Physics Letters, Vol. 105, No. 3, 16.03.1984, p. 295-298.

Research output: Contribution to journalArticle

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